Michael Schur's Books

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

By: Daniel Alpay,Maria Elena Luna-Elizarrarás,Michael Shapiro,Daniele C. Struppa

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Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

By: Daniel Alpay,Maria Elena Luna-Elizarrarás,Michael Shapiro,Daniele C. Struppa

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.

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107

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Springer Science & Business Media

Published Date

ISBN 10

3319051105

ISBN 13

9783319051109

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

By: Vlastimil Dlab,Claus Michael Ringel

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Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

By: Vlastimil Dlab,Claus Michael Ringel

These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ``Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.

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502

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821834169

ISBN 13

9780821834169

Stability of Neutral Functional Differential Equations

By: Michael I. Gil'

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Stability of Neutral Functional Differential Equations

By: Michael I. Gil'

In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted to the solution of the generalized Aizerman problem.

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311

Publisher

Springer

Published Date

ISBN 10

9462390916

ISBN 13

9789462390911

Sigmund Freud

By: Michael Jacobs

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Sigmund Freud

By: Michael Jacobs

Praise for the First Edition: `This is the Second Edition of a book first published in 1992 as part of the Key Figures in Counselling and Psychotherapy series edited by Windy Dryden. It has proved a successful introduction to the life and work of Sigmund Freud: in this present edition Michael Jacobs takes the opportunity of the new translation of Freud now appearing to offer more suggestions about reading, particularly the papers of technique available through Virago′s 2001 publication of the Standard Edition′ - The Journal of Analytical Psychology In refreshing contrast to most other books on Sigmund Freud, this is a highly accessible account of his life and ideas, which focuses on the relevance of Freud′s work for contemporary approaches to counselling and psychotherapy. The book provides an overview which is based firmly on Freud′s own writings, but which goes far beyond a recapitulation of the existing literature, to offer fresh insights and some surprises, both about Freud the man and his theories. Written by bestselling author, Michael Jacobs and now fully updated for its Second Edition, Sigmund Freud presents and responds to the criticisms that Freud′s work attracted, and charts his continuing influence in the 21st century. This is highly recommended reading for those training in counselling and psychotherapy as well as those studying Freud in other contexts. Michael Jacobs is a retired lecturer in Counselling Studies and bestselling author whose publications include (in the same series), D W Winicott (SAGE, 1995) and Psychodynamic Counselling in Action, Second Edition (SAGE, 1999).

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178

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SAGE

Published Date

ISBN 10

1412932513

ISBN 13

9781412932516

The Classification of Finite Simple Groups

Groups of Characteristic 2 Type

By: Michael Aschbacher,Richard Lyons ,Stephen D. Smith ,Ronald Solomon

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The Classification of Finite Simple Groups

Groups of Characteristic 2 Type

By: Michael Aschbacher,Richard Lyons ,Stephen D. Smith ,Ronald Solomon

Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.

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362

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821853368

ISBN 13

9780821853368

The Cauchy-Schwarz Master Class

An Introduction to the Art of Mathematical Inequalities

By: J. Michael Steele

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The Cauchy-Schwarz Master Class

An Introduction to the Art of Mathematical Inequalities

By: J. Michael Steele

This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.

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Page Count

320

Publisher

Cambridge University Press

Published Date

ISBN 10

052154677X

ISBN 13

9780521546775

Littlewood-Paley Theory and the Study of Function Spaces

By: Michael Frazier,Björn Jawerth,Guido Weiss

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Littlewood-Paley Theory and the Study of Function Spaces

By: Michael Frazier,Björn Jawerth,Guido Weiss

Littlewood-Paley theory was developed to study function spaces in harmonic analysis and partial differential equations. Recently, it has contributed to the development of the *q-transform and wavelet decompositions. Based on lectures presented at the NSF-CBMS Regional Research Conference on Harmonic Analysis and Function Spaces, held at Auburn University in July 1989, this book is aimed at mathematicians, as well as mathematically literate scientists and engineers interested in harmonic analysis or wavelets. The authors provide not only a general understanding of the area of harmonic analysis relating to Littlewood-Paley theory and atomic and wavelet decompositions, but also some motivation and background helpful in understanding the recent theory of wavelets. The book begins with some simple examples which provide an overview of the classical Littlewood-Paley theory. The *q-transform, wavelet, and smooth atomic expansions are presented as natural extensions of the classical theory. Finally, applications to harmonic analysis (Calderon-Zygmund operators), signal processing (compression), and mathematical physics (potential theory) are discussed.

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142

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821807315

ISBN 13

9780821807316

Iterative Methods for Toeplitz Systems

By: Michael K. Ng

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Iterative Methods for Toeplitz Systems

By: Michael K. Ng

Toeplitz and Toeplitz-related systems arise in a variety of applications in mathematics and engineering, especially in signal and image processing.

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370

Publisher

Numerical Mathematics and Scie

Published Date

ISBN 10

0198504209

ISBN 13

9780198504207

Bosonization

By: Michael Stone (Ph. D.)

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Bosonization

By: Michael Stone (Ph. D.)

Bosonization is a useful technique for studying systems of interacting fermions in low dimensions. It has applications in both particle and condensed matter physics.This book contains reprints of papers on the method as used in these fields. The papers range from the classic work of Tomonaga in the 1950's on one-dimensional electron gases, through the discovery of fermionic solitons in the 1970's, to integrable systems and bosonization on Riemann surfaces. A four-chapter pedagogical introduction by the editor should make the book accessible to graduate students and experienced researchers alike.

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552

Publisher

World Scientific

Published Date

ISBN 10

9810218478

ISBN 13

9789810218478

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

By: Michael Ulbrich

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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

By: Michael Ulbrich

Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.

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322

Publisher

SIAM

Published Date

ISBN 10

1611970695

ISBN 13

9781611970692

Hardy Inequalities on Homogeneous Groups

100 Years of Hardy Inequalities

By: Michael Ruzhansky,Durvudkhan Suragan

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Hardy Inequalities on Homogeneous Groups

100 Years of Hardy Inequalities

By: Michael Ruzhansky,Durvudkhan Suragan

This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

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579

Publisher

Springer

Published Date

ISBN 10

303002895X

ISBN 13

9783030028954

The Secrets She Keeps

The thrilling psychological suspense that inspired the BBC TV series

By: Michael Robotham

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The Secrets She Keeps

The thrilling psychological suspense that inspired the BBC TV series

By: Michael Robotham

NOW A MAJOR BBC SERIES STARRING LAURA CARMICHAEL The electrifying thriller from the mind behind ITV series THE SUSPECT and Richard & Judy Pick and No.1 bestseller WHEN SHE WAS GOOD 'Two terrific female characters, both with secrets. Add Michael Robotham's clean prose and whipcrack pacing. The result? A book you won't be able to put down, although you may occasionally want to hide your eyes' STEPHEN KING Everyone has an idea of what their perfect life is. For Agatha, it's Meghan Shaughnessy's. These two women from vastly different backgrounds have one thing in common - a dangerous secret that could destroy everything they hold dear. Both will risk everything to hide the truth, but their worlds are about to collide in a shocking act that cannot be undone. 'A genuine page-turner and ideal holiday read. It leaves you unsettled and enthralled in equal measure' DAILY EXPRESS 'I could hardly put this book down!' ***** Reader Review 'A book you won't be able to put down' STEPHEN KING 'It just got better and better . . . Riveting' ***** Reader Review 'Grabbed me and held me from page one right to the end' ***** Reader Review 'Captures the workings of the human mind and heart' ***** Reader Review 'Probably the best book I've read! Superb' ***** Reader Review

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477

Publisher

Sphere

Published Date

ISBN 10

0751562785

ISBN 13

9780751562781

Scientific Computing

An Introductory Survey, Revised Second Edition

By: Michael T. Heath

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Scientific Computing

An Introductory Survey, Revised Second Edition

By: Michael T. Heath

This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results. In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

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587

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SIAM

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ISBN 10

1611975581

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9781611975581

Nonlinear Industrial Control Systems

Optimal Polynomial Systems and State-Space Approach

By: Michael J. Grimble,Paweł Majecki

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Nonlinear Industrial Control Systems

Optimal Polynomial Systems and State-Space Approach

By: Michael J. Grimble,Paweł Majecki

Nonlinear Industrial Control Systems presents a range of mostly optimisation-based methods for severely nonlinear systems; it discusses feedforward and feedback control and tracking control systems design. The plant models and design algorithms are provided in a MATLAB® toolbox that enable both academic examples and industrial application studies to be repeated and evaluated, taking into account practical application and implementation problems. The text makes nonlinear control theory accessible to readers having only a background in linear systems, and concentrates on real applications of nonlinear control. It covers: different ways of modelling nonlinear systems including state space, polynomial-based, linear parameter varying, state-dependent and hybrid; design techniques for nonlinear optimal control including generalised-minimum-variance, model predictive control, quadratic-Gaussian, factorised and H∞ design methods; design philosophies that are suitable for aerospace, automotive, marine, process-control, energy systems, robotics, servo systems and manufacturing; steps in design procedures that are illustrated in design studies to define cost-functions and cope with problems such as disturbance rejection, uncertainties and integral wind-up; and baseline non-optimal control techniques such as nonlinear Smith predictors, feedback linearization, sliding mode control and nonlinear PID. Nonlinear Industrial Control Systems is valuable to engineers in industry dealing with actual nonlinear systems. It provides students with a comprehensive range of techniques and examples for solving real nonlinear control design problems.

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778

Publisher

Springer Nature

Published Date

ISBN 10

1447174577

ISBN 13

9781447174578

Enumerative Invariants in Algebraic Geometry and String Theory

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005

By: Marcos Marino,Michael Thaddeus,Ravi Vakil

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Enumerative Invariants in Algebraic Geometry and String Theory

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005

By: Marcos Marino,Michael Thaddeus,Ravi Vakil

Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.

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219

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Springer

Published Date

ISBN 10

3540798145

ISBN 13

9783540798149

Robust Industrial Control Systems

Optimal Design Approach for Polynomial Systems

By: Michael J. Grimble

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Robust Industrial Control Systems

Optimal Design Approach for Polynomial Systems

By: Michael J. Grimble

Robust Industrial Control Systems: Optimal Design Approach for Polynomial Systems presents a comprehensive introduction to the use of frequency domain and polynomial system design techniques for a range of industrial control and signal processing applications. The solution of stochastic and robust optimal control problems is considered, building up from single-input problems and gradually developing the results for multivariable design of the later chapters. In addition to cataloguing many of the results in polynomial systems needed to calculate industrial controllers and filters, basic design procedures are also introduced which enable cost functions and system descriptions to be specified in order to satisfy industrial requirements. Providing a range of solutions to control and signal processing problems, this book: * Presents a comprehensive introduction to the polynomial systems approach for the solution of H_2 and H_infinity optimal control problems. * Develops robust control design procedures using frequency domain methods. * Demonstrates design examples for gas turbines, marine systems, metal processing, flight control, wind turbines, process control and manufacturing systems. * Includes the analysis of multi-degrees of freedom controllers and the computation of restricted structure controllers that are simple to implement. * Considers time-varying control and signal processing problems. * Addresses the control of non-linear processes using both multiple model concepts and new optimal control solutions. Robust Industrial Control Systems: Optimal Design Approach for Polynomial Systems is essential reading for professional engineers requiring an introduction to optimal control theory and insights into its use in the design of real industrial processes. Students and researchers in the field will also find it an excellent reference tool.

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Page Count

698

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470020741

ISBN 13

9780470020746

Field Arithmetic

By: Michael D. Fried,Moshe Jarden

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Field Arithmetic

By: Michael D. Fried,Moshe Jarden

Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)? The third edition improves the second edition in two ways: First it removes many typos and mathematical inaccuracies that occur in the second edition (in particular in the references). Secondly, the third edition reports on five open problems (out of thirtyfour open problems of the second edition) that have been partially or fully solved since that edition appeared in 2005.

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815

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540772707

ISBN 13

9783540772705

Linear Algebra

By: Michael E. Taylor

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Linear Algebra

By: Michael E. Taylor

This text develops linear algebra with the view that it is an important gateway connecting elementary mathematics to more advanced subjects, such as advanced calculus, systems of differential equations, differential geometry, and group representations. The purpose of this book is to provide a treatment of this subject in sufficient depth to prepare the reader to tackle such further material. The text starts with vector spaces, over the sets of real and complex numbers, and linear transformations between such vector spaces. Later on, this setting is extended to general fields. The reader will be in a position to appreciate the early material on this more general level with minimal effort. Notable features of the text include a treatment of determinants, which is cleaner than one often sees, and a high degree of contact with geometry and analysis, particularly in the chapter on linear algebra on inner product spaces. In addition to studying linear algebra over general fields, the text has a chapter on linear algebra over rings. There is also a chapter on special structures, such as quaternions, Clifford algebras, and octonions.

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306

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470456702

ISBN 13

9781470456702

Bounds for Determinants of Linear Operators and their Applications

By: Michael Gil'

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Bounds for Determinants of Linear Operators and their Applications

By: Michael Gil'

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.

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237

Publisher

CRC Press

Published Date

ISBN 10

1498796915

ISBN 13

9781498796910

The Power of q

A Personal Journey

By: Michael D. Hirschhorn

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The Power of q

A Personal Journey

By: Michael D. Hirschhorn

This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author’s personal and life-long study—inspired by Ramanujan—of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises. After an introductory chapter, the power of q-series is demonstrated with proofs of Lagrange’s four-squares theorem and Gauss’s two-squares theorem. Attention then turns to partitions and Ramanujan’s partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers–Ramanujan identities and the Rogers–Ramanujan continued fraction, the famous “forty identities” of Ramanujan, and the representation results of Jacobi, Dirichlet and Lorenz, not to mention many other interesting and beautiful results. We also meet a challenge of D.H. Lehmer to give a formula for the number of partitions of a number into four squares, prove a “mysterious” partition theorem of H. Farkas and prove a conjecture of R.Wm. Gosper “which even Erdős couldn’t do.” The book concludes with a look at Ramanujan’s remarkable tau function.

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422

Publisher

Springer

Published Date

ISBN 10

331957762X

ISBN 13

9783319577623

Multiresolution Signal and Geometry Processing: Filter Banks, Wavelets, and Subdivision (Version: 2013-09-26)

By: Michael D. Adams

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Multiresolution Signal and Geometry Processing: Filter Banks, Wavelets, and Subdivision (Version: 2013-09-26)

By: Michael D. Adams

This book is intended for use in the teaching of graduate and senior undergraduate courses on multiresolution signal and geometry processing in the engineering and related disciplines. It has been used for several years for teaching purposes in the Department of Electrical and Computer Engineering at the University of Victoria and has been well received by students. This book provides a comprehensive introduction to multiresolution signal and geometry processing, with a focus on both theory and applications. The book has two main components, corresponding to multiresolution processing in the contexts of: 1) signal processing and 2) geometry processing. The signal-processing component of the book studies one-dimensional and multi-dimensional multirate systems, considering multirate structures such as sampling-rate converters, filter banks, and transmultiplexers. A particularly strong emphasis is placed on filter banks. Univariate and multivariate wavelet systems are examined, with the biorthogonal and orthonormal cases both being considered. The relationship between filter banks and wavelet systems is established. Several applications of filter banks and wavelets in signal processing are covered, including signal coding, image compression, and noise reduction. For readers interested in image compression, a detailed overview of the JPEG-2000 standard is also provided. Some other applications of multirate systems are considered, such as transmultiplexers for communication systems (e.g., multicarrier modulation). The geometry-processing component of the book studies subdivision surfaces and subdivision wavelets. Some mathematical background relating to geometry processing is provided, including topics such as homogeneous coordinate transformations, manifolds, surface representations, and polygon meshes. Several subdivision schemes are examined in detail, including the Loop, Kobbelt sqrt(3), and Catmull-Clark methods. The application of subdivision surfaces in computer graphics is considered. A detailed introduction to functional analysis is provided, for those who would like a deeper understanding of the mathematics underlying wavelets and filter banks. For those who are interested in software applications of the material covered in the book, appendices are included that introduce the CGAL and OpenGL libraries. Also, an appendix on the SPL library (which was developed for use with this book) is included. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.

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580

Publisher

Michael Adams

Published Date

ISBN 10

1550585088

ISBN 13

9781550585087

Operator Functions And Operator Equations

By: Michael Gil'

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Operator Functions And Operator Equations

By: Michael Gil'

This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. A significant part of the book covers the theory of triangular representations of operators that was developed by L de Branges, M S Brodskii, I C Gohberg, M G Krein, M S Livsic and other mathematicians.

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260

Publisher

World Scientific

Published Date

ISBN 10

9813221283

ISBN 13

9789813221284

Linear Algebra

By: Michael L. O'Leary

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Linear Algebra

By: Michael L. O'Leary

LINEAR ALGEBRA EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A COMPANION WEBSITE AND SOLUTIONS MANUALS Linear Algebra delivers a fulsome exploration of the central concepts in linear algebra, including multidimensional spaces, linear transformations, matrices, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, inner products, and eigenvectors. While the text provides challenging problems that engage readers in the mathematical theory of linear algebra, it is written in an accessible and simple-to-grasp fashion appropriate for junior undergraduate students. An emphasis on logic, set theory, and functions exists throughout the book, and these topics are introduced early to provide students with a foundation from which to attack the rest of the material in the text. Linear Algebra includes accompanying material in the form of a companion website that features solutions manuals for students and instructors. Finally, the concluding chapter in the book includes discussions of advanced topics like generalized eigenvectors, Schur’s Lemma, Jordan canonical form, and quadratic forms. Readers will also benefit from the inclusion of: A thorough introduction to logic and set theory, as well as descriptions of functions and linear transformations An exploration of Euclidean spaces and linear transformations between Euclidean spaces, including vectors, vector algebra, orthogonality, the standard matrix, Gauss-Jordan elimination, inverses, and determinants Discussions of abstract vector spaces, including subspaces, linear independence, dimension, and change of basis A treatment on defining geometries on vector spaces, including the Gram-Schmidt process Perfect for undergraduate students taking their first course in the subject matter, Linear Algebra will also earn a place in the libraries of researchers in computer science or statistics seeking an accessible and practical foundation in linear algebra.

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464

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John Wiley & Sons

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ISBN 10

1119437601

ISBN 13

9781119437604

Inequalities

With Applications to Engineering

By: Michael J. Cloud,Bryon C. Drachman

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Inequalities

With Applications to Engineering

By: Michael J. Cloud,Bryon C. Drachman

A working knowledge of inequalities can be beneficial to the practicing engineer, and inequalities are central to the definitions of all limiting processes, including differentiation and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inequalities can be used to obtain error bounds for numerical approximation. They can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind, and helps fill the gap between college algebra-level treatments, and the formidable treatise on the subject that exist in the mathematics literature. To consolidate the learning process, every chapter ends with a rich collection of exercises.

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156

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Springer Science & Business Media

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ISBN 10

0387226265

ISBN 13

9780387226262

A. G. Stromberg - First Class Scientist, Second Class Citizen: Letters From The Gulag And A History Of Electroanalysis In The Ussr

By: Richard Guy Compton,Gregory George Wildgoose,Elza A Zakharova,Alexander S Kabakaev,Michael T Stawpert

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A. G. Stromberg - First Class Scientist, Second Class Citizen: Letters From The Gulag And A History Of Electroanalysis In The Ussr

By: Richard Guy Compton,Gregory George Wildgoose,Elza A Zakharova,Alexander S Kabakaev,Michael T Stawpert

Armin G Stromberg was arguably one of the founding fathers of the technique of stripping voltammetry frequently used in chemical analysis, yet he is virtually unheard of in Western scientific circles. He was a brilliant scientist, but due to his German ancestry he was interred in one of the NKVD GULAG camps at the outbreak of the Second World War.This semi-biographical history presents the complete set of 74 surviving letters written by Stromberg to his wife during this period. The letters provide both historians and the interested public with a rare and unique glimpse into the everyday living conditions of inmates in one of the GULAG labour camps. The book also traces Stromberg's life following his release. More importantly, it relates how he founded the thriving Tomsk school to the wider historical context of electroanalysis in the USSR, drawing conclusions about the rate of scientific development as compared to the West and showing how ‘wet analysis’ remained of vital importance to industry long after equivalent measurements were made elsewhere.Readers will also appreciate how Stromberg's invaluable contributions in the Tomsk School of Electroanalysis laid the foundations for the extensive metallurgical extraction and nuclear industries that dominated the entire Siberian region for many years. This book is a must-read for anyone interested in the life and times of an important, yet often overlooked scientist of the Second World War.

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376

Publisher

World Scientific

Published Date

ISBN 10

1908977833

ISBN 13

9781908977830

Group Theory and Quantum Mechanics

By: Michael Tinkham

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Group Theory and Quantum Mechanics

By: Michael Tinkham

This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids. The formal theory of finite groups and their representation is developed in Chapters 1 through 4 and illustrated by examples from the crystallographic point groups basic to solid-state and molecular theory. Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry. A compact and worthwhile compilation of the scattered material on standard methods, this volume presumes a basic understanding of quantum theory.

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354

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Courier Corporation

Published Date

ISBN 10

0486131661

ISBN 13

9780486131665

An Invitation to Representation Theory

Polynomial Representations of the Symmetric Group

By: R. Michael Howe

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An Invitation to Representation Theory

Polynomial Representations of the Symmetric Group

By: R. Michael Howe

An Invitation to Representation Theory offers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation theory. The subject of representation theory is one of the most connected in mathematics, with applications to group theory, geometry, number theory and combinatorics, as well as physics and chemistry. It can however be daunting for beginners and inaccessible to undergraduates. The symmetric group and its natural action on polynomial spaces provide a rich yet accessible model to study, serving as a prototype for other groups and their representations. This book uses this key example to motivate the subject, developing the notions of groups and group representations concurrently. With prerequisites limited to a solid grounding in linear algebra, this book can serve as a first introduction to representation theory at the undergraduate level, for instance in a topics class or a reading course. A substantial amount of content is presented in over 250 exercises with complete solutions, making it well-suited for guided study.

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236

Publisher

Springer Nature

Published Date

ISBN 10

3030980251

ISBN 13

9783030980252

Introduction to Mathematical Physics

By: Michael T. Vaughn

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Introduction to Mathematical Physics

By: Michael T. Vaughn

A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.

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543

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John Wiley & Sons

Published Date

ISBN 10

3527618864

ISBN 13

9783527618866

Examination Obstetrics and Gynaecology

By: Judith Goh,Michael Flynn

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Examination Obstetrics and Gynaecology

By: Judith Goh,Michael Flynn

Examination Obstetrics and amp; Gynaecology, 3rd Edition is a rapid reference appropriate for daily use in a busy hospital ward, clinic or medical surgery. This practical exam guide is designed for medical graduates who have undertaken general hospital training and wish to commence postgraduate studies in obstetrics and gynaecology, including specialist trainees and General Practitioners. Examination Obstetrics and amp; Gynaecology, 3rd Edition will also be a useful text for medical undergraduates, midwives and midwifery students. This latest edition is fully revised and updated and provides a summary of

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325

Publisher

Elsevier Australia

Published Date

ISBN 10

0729539377

ISBN 13

9780729539371

Infinite Length Modules

By: Henning Krause,Claus Michael Ringel

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Infinite Length Modules

By: Henning Krause,Claus Michael Ringel

This book is concerned with the role played by modules of infinite length when dealing with problems in the representation theory of groups and algebras, but also in topology and geometry; it shows the intriguing interplay between finite and infinite length modules. The volume presents the invited lectures of a conference devoted to 'Infinite Length Modules', held at Bielefeld in September 1998, which brought together experts from quite different schools in order to survey surprising relations between algebra, topology and geometry. Some additional reports have been included in order to establish a unified picture. The collection of articles, written by well-known experts from all parts of the world, is conceived as a sort of handbook which provides an easy access to the present state of knowledge and its aim is to stimulate further development.

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776

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Springer Science & Business Media

Published Date

ISBN 10

3764364130

ISBN 13

9783764364137

Difference Equations in Normed Spaces

Stability and Oscillations

By: Michael Gil

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Difference Equations in Normed Spaces

Stability and Oscillations

By: Michael Gil

Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results: - The freezing method - The Liapunov type equation - The method of majorants - The multiplicative representation of solutions - Deals systematically with difference equations in normed spaces - Considers new classes of equations that could not be studied in the frameworks of ordinary and partial difference equations - Develops the freezing method and presents recent results on Volterra discrete equations - Contains an approach based on the estimates for norms of operator functions

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379

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Elsevier

Published Date

ISBN 10

0080469353

ISBN 13

9780080469355

Mathematical Problems in Quantum Physics

By: Federico Bonetto,David Borthwick,Evans Harrell,Michael Loss

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Mathematical Problems in Quantum Physics

By: Federico Bonetto,David Borthwick,Evans Harrell,Michael Loss

This volume contains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held from October 8–11, 2016, at the Georgia Institute of Technology, Atlanta, Georgia. In recent years, a number of new frontiers have opened in mathematical physics, such as many-body localization and Schrödinger operators on graphs. There has been progress in developing mathematical techniques as well, notably in renormalization group methods and the use of Lieb–Robinson bounds in various quantum models. The aim of this volume is to provide an overview of some of these developments. Topics include random Schrödinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory. A number of articles are devoted to the very active area of Schrödinger operators on graphs and general spectral theory of Schrödinger operators. Some of the articles are expository and can be read by an advanced graduate student.

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346

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470436817

ISBN 13

9781470436810

3-Transposition Groups

By: Michael Aschbacher

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3-Transposition Groups

By: Michael Aschbacher

Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.

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276

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Cambridge University Press

Published Date

ISBN 10

0521571960

ISBN 13

9780521571968

Absent Citizens

Disability Politics and Policy in Canada

By: Michael J. Prince

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Absent Citizens

Disability Politics and Policy in Canada

By: Michael J. Prince

Disability exists in the shadows of public awareness and at the periphery of policy making. People with disabilities are, in many respects, missing from the theories and practices of social rights, political participation, employment, and civic membership. Absent Citizens brings to light these chronic deficiencies in Canadian society and emphasizes the effects that these omissions have on the lives of citizens with disabilities. Drawing together elements from feminist studies, political science, public administration, sociology, and urban studies, Michael J. Prince examines mechanisms of exclusion and inclusion, public attitudes on disability, and policy-making processes in the context of disability. Absent Citizens also considers social activism and civic engagements by people with disabilities and disability community organizations, highlighting presence rather than absence and advocating both inquiry and action to ameliorate the marginalization of an often overlooked segment of the Canadian population.

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495

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University of Toronto Press

Published Date

ISBN 10

1442693339

ISBN 13

9781442693333

Noncommutative Harmonic Analysis

By: Michael Eugene Taylor

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Noncommutative Harmonic Analysis

By: Michael Eugene Taylor

Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.

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346

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American Mathematical Soc.

Published Date

ISBN 10

0821815237

ISBN 13

9780821815236

Behavioral Approaches to Community Psychology

Pergamon General Psychology Series

By: Michael T. Nietzel,Richard A. Winett,Marian L. MacDonald

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Behavioral Approaches to Community Psychology

Pergamon General Psychology Series

By: Michael T. Nietzel,Richard A. Winett,Marian L. MacDonald

Behavioral Approaches to Community Psychology reviews and evaluates the extension of social learning procedures to various demanding community problems. This book presents the applications of the behavioral paradigm for various social problems, including alcoholism, adult offenders, aging, unemployment, drug addiction, juvenile delinquency, environmental protection, psychiatric residence, and problems of the schools. Organized into 12 chapters, this book begins with an overview of the development and patterning of human behavior. This text then examines various research conducted in schools concerning behavioral approaches to educational problems. Other chapters consider the increasing concern and debate for the problems of crime and delinquency. This book discusses as well the concern of the society about opiate drug addiction and abuse. The final chapter deals with the strengthened relation between behaviorists and community psychologists. This book is a valuable resource for social psychologists and graduate students. Applied researchers and practitioners in community health settings will also find this book useful.

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478

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Elsevier

Published Date

ISBN 10

1483187810

ISBN 13

9781483187815

Dance, Modernism, and Modernity

By: Ramsay Burt,Michael Huxley

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Dance, Modernism, and Modernity

By: Ramsay Burt,Michael Huxley

This collection of new essays explores connections between dance, modernism, and modernity by examining the ways in which leading dancers have responded to modernity. Burt and Huxley examine dance examples from a period beginning just before the First World War and extending to the mid-1950s, ranging across not only mainland Europe and the United States but also Africa, the Caribbean, the Pacific Asian region, and the UK. They consider a wide range of artists, including Akarova, Gertrude Colby, Isadora Duncan, Katherine Dunham, Margaret H’Doubler, Hanya Holm, Michio Ito, Kurt Jooss, Wassily Kandinsky, Margaret Morris, Berto Pasuka, Uday Shankar, Antony Tudor, and Mary Wigman. The authors explore dancers’ responses to modernity in various ways, including within the contexts of natural dancing and transnationalism. This collection asks questions about how, in these places and times, dancing developed and responded to the experience of living in modern times, or even came out of an ambivalence about or as a reaction against it. Ideal for students and practitioners of dance and those interested in new modernist studies, Dance, Modernism, and Modernity considers the development of modernism in dance as an interdisciplinary and global phenomenon.

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344

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Routledge

Published Date

ISBN 10

042985594X

ISBN 13

9780429855948

Book's by Michael Schur

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