Victor Guillemin's Books

The Story of Quantum Mechanics

By: Victor Guillemin

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The Story of Quantum Mechanics

By: Victor Guillemin

Written by a renowned MIT mathematician, this introduction to the evolution of quantum physics also explores philosophical implications, including issues of causality, determinism, and free will. 48 illustrations. 1968 edition.

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388

Publisher

Courier Corporation

Published Date

ISBN 10

0486428745

ISBN 13

9780486428741

Symplectic Techniques in Physics

By: Victor Guillemin,Shlomo Sternberg

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Symplectic Techniques in Physics

By: Victor Guillemin,Shlomo Sternberg

Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but at the same time apply the apparatus to a great number of concrete problems. Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance.

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488

Publisher

Cambridge University Press

Published Date

ISBN 10

0521389909

ISBN 13

9780521389907

Infinite-Dimensional Lie Algebras

By: Victor G. Kac

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Infinite-Dimensional Lie Algebras

By: Victor G. Kac

The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.

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428

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Cambridge University Press

Published Date

ISBN 10

0521466938

ISBN 13

9780521466936

The Oxford Handbook of Language Production

By: Matthew Goldrick,Victor Ferreira,Michele Miozzo

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The Oxford Handbook of Language Production

By: Matthew Goldrick,Victor Ferreira,Michele Miozzo

The Oxford Handbook of Language Production provides a comprehensive, multidisciplinary review of the complex mechanisms involved in language production. It describes what we know of the computational, linguistic, cognitive, and brain bases of human language production - from how we conceive the messages we aim to convey, to how we retrieve the right (and sometimes wrong) words, how we form grammatical sentences, and how we assemble and articulate individual sounds, letters, and gestures. Contributions from leading psycholinguists, linguists, and neuroscientists offer readers a broad perspective on the latest research, highlighting key investigations into core aspects of human language processing. The Handbook is organized into three sections: speaking, written and sign languages, and how language production interfaces with the wider cognitive system, including control processes, memory, non-linguistic gestures, and the perceptual system. These chapters discuss a wide array of levels of representation, from sentences to individual words, speech sounds and articulatory gestures, extending to discourse and the broader social context of speaking. Detailed supporting chapters provide an overview of key issues in linguistic structure at each level of representation. Authoritative yet concisely written, the volume will be of interest to scholars and students working in cognitive psychology, psycholinguistics, cognitive neuroscience, computer science, audiology, and education, and related fields.

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513

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Oxford University Press

Published Date

ISBN 10

0199393516

ISBN 13

9780199393510

Inverse Source Problems

By: Victor Isakov

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Inverse Source Problems

By: Victor Isakov

A careful exposition of a research field of current interest. This includes a brief survey of the subject and an introduction to recent developments and unsolved problems.

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209

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821815326

ISBN 13

9780821815328

Advances in Geometry

Volume 1

By: Jean-Luc Brylinski,Ranee Brylinski,Victor Nistor

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Advances in Geometry

Volume 1

By: Jean-Luc Brylinski,Ranee Brylinski,Victor Nistor

This book is an outgrowth of the activities of the Center for Geometry and Mathematical Physics (CGMP) at Penn State from 1996 to 1998. The Center was created in the Mathematics Department at Penn State in the fall of 1996 for the purpose of promoting and supporting the activities of researchers and students in and around geometry and physics at the university. The CGMP brings many visitors to Penn State and has ties with other research groups; it organizes weekly seminars as well as annual workshops The book contains 17 contributed articles on current research topics in a variety of fields: symplectic geometry, quantization, quantum groups, algebraic geometry, algebraic groups and invariant theory, and character istic classes. Most of the 20 authors have talked at Penn State about their research. Their articles present new results or discuss interesting perspec tives on recent work. All the articles have been refereed in the regular fashion of excellent scientific journals. Symplectic geometry, quantization and quantum groups is one main theme of the book. Several authors study deformation quantization. As tashkevich generalizes Karabegov's deformation quantization of Kahler manifolds to symplectic manifolds admitting two transverse polarizations, and studies the moment map in the case of semisimple coadjoint orbits. Bieliavsky constructs an explicit star-product on holonomy reducible sym metric coadjoint orbits of a simple Lie group, and he shows how to con struct a star-representation which has interesting holomorphic properties.

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404

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Springer Science & Business Media

Published Date

ISBN 10

1461217709

ISBN 13

9781461217701

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.

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736

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Springer Nature

Published Date

ISBN 10

3030305457

ISBN 13

9783030305451

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.

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761

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Springer Nature

Published Date

ISBN 10

3030305619

ISBN 13

9783030305611

Contact Geometry and Linear Differential Equations

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

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Contact Geometry and Linear Differential Equations

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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229

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Walter de Gruyter

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ISBN 10

3110873109

ISBN 13

9783110873108

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.

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938

Publisher

Springer Nature

Published Date

ISBN 10

3030305570

ISBN 13

9783030305574

Toric Topology

By: Victor M. Buchstaber,Taras E. Pano

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Toric Topology

By: Victor M. Buchstaber,Taras E. Pano

This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area.

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534

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American Mathematical Soc.

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ISBN 10

147042214X

ISBN 13

9781470422141

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

Functional Methods and Eigenvalue Asymptotics

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

Functional Methods and Eigenvalue Asymptotics

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.

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544

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Springer Nature

Published Date

ISBN 10

3030305414

ISBN 13

9783030305413

Microlocal Analysis and Precise Spectral Asymptotics

By: Victor Ivrii

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Microlocal Analysis and Precise Spectral Asymptotics

By: Victor Ivrii

The problem of spectral asymptotics, in particular the problem of the asymptotic dis tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl's conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened.

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736

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Springer Science & Business Media

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ISBN 10

3662124963

ISBN 13

9783662124963

The Complex WKB Method for Nonlinear Equations I

Linear Theory

By: Victor P. Maslov

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The Complex WKB Method for Nonlinear Equations I

Linear Theory

By: Victor P. Maslov

When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multi-dimensional Schrödinger equation, and also to take into account the so-called tunnel effects. Finite-dimensional linear theory is reviewed in detail. Infinite-dimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume.

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305

Publisher

Birkhäuser

Published Date

ISBN 10

3034885369

ISBN 13

9783034885362

Schaechter's Mechanisms of Microbial Disease

By: N Cary Engleberg,Victor DiRita,Michael Imperiale

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Schaechter's Mechanisms of Microbial Disease

By: N Cary Engleberg,Victor DiRita,Michael Imperiale

Lippincott® Connect Featured Title Purchase of the new print edition of this Lippincott® Connect title includes access to the digital version of the book, plus related materials such as videos and multiple-choice Q&A and self-assessments. Known for generations as the most comprehensive foundational text on medical microbiology, Schaechter's Mechanisms of Microbial Disease delivers a thorough understanding of microbial agents and the pathophysiology of microbial diseases. This trusted text is universally praised for "telling the story of a pathogen" in an engaging way, facilitating learning and recall by emphasizing unifying principles and paradigms. Content is uniquely organized by microbial class and by organ system, making it equally at home in traditional and systems-based curricula. This updated 6th Edition reflects the latest advances in the field, including significant enhancements to the coverage of serious threats to global health, respiratory and childhood viruses, and sexually transmitted diseases. New illustrations and additional learning features further clarify concepts, reinforce understanding, and help users confidently prepare for board exams and beyond.

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2077

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Lippincott Williams & Wilkins

Published Date

ISBN 10

197515150X

ISBN 13

9781975151508

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Magnetic Schrödinger Operator 1

By: Victor Ivrii

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Magnetic Schrödinger Operator 1

By: Victor Ivrii

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.

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750

Publisher

Springer Nature

Published Date

ISBN 10

3030305376

ISBN 13

9783030305376

Old and New Unsolved Problems in Plane Geometry and Number Theory

By: Victor Klee,Stan Wagon

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Old and New Unsolved Problems in Plane Geometry and Number Theory

By: Victor Klee,Stan Wagon

Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.

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352

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470454610

ISBN 13

9781470454616

Reconstruction from Integral Data

By: Victor Palamodov

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Reconstruction from Integral Data

By: Victor Palamodov

Reconstruction of a function from data of integrals is used for problems arising in diagnostics, including x-ray, positron radiography, ultrasound, scattering, sonar, seismic, impedance, wave tomography, crystallography, photo-thermo-acoustics, photoelastics, and strain tomography. Reconstruction from Integral Data presents both long-standing and r

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178

Publisher

CRC Press

Published Date

ISBN 10

1498710115

ISBN 13

9781498710114

The Canonical Operator in Many-Particle Problems and Quantum Field Theory

By: Victor P. Maslov,Oleg Yu. Shvedov

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The Canonical Operator in Many-Particle Problems and Quantum Field Theory

By: Victor P. Maslov,Oleg Yu. Shvedov

In this monograph we study the problem of construction of asymptotic solutions of equations for functions whose number of arguments tends to infinity as the small parameter tends to zero. Such equations arise in statistical physics and in quantum theory of a large number of fi elds. We consider the problem of renormalization of quantum field theory in the Hamiltonian formalism, which encounters additional difficulties related to the Stückelberg divergences and the Haag theorem. Asymptotic methods for solving pseudodifferential equations with small parameter multiplying the derivatives, as well as the asymptotic methods developed in the present monograph for solving problems in statistical physics and quantum field theory, can be considered from a unified viewpoint if one introduces the notion of abstract canonical operator. The book can be of interest for researchers – specialists in asymptotic methods, statistical physics, and quantum fi eld theory as well as for graduate and undergraduate students of these specialities.

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314

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110762749

ISBN 13

9783110762747

Reconstructive Integral Geometry

By: Victor Palamodov

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Reconstructive Integral Geometry

By: Victor Palamodov

This book covers facts and methods for the reconstruction of a function in a real affine or projective space from data of integrals, particularly over lines, planes, and spheres. Recent results stress explicit analytic methods. Coverage includes the relations between algebraic integral geometry and partial differential equations. The first half of the book includes the ray, the spherical mean transforms in the plane or in 3-space, and inversion from incomplete data.

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171

Publisher

Birkhäuser

Published Date

ISBN 10

3034879415

ISBN 13

9783034879415

Material Geometry: Groupoids In Continuum Mechanics

By: Manuel De Leon,Marcelo Epstein,Victor Manuel Jimenez

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Material Geometry: Groupoids In Continuum Mechanics

By: Manuel De Leon,Marcelo Epstein,Victor Manuel Jimenez

This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the introduction of the theory of G-structures, in which the group G denotes the group of material symmetries, to study smoothly uniform materials.The new approach presented in this book goes much further by being much more general. It is not a generalization per se, but rather a natural way of considering the algebraic-geometric structure induced by the so-called material isomorphisms. This approach has allowed us to encompass non-uniform materials and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline.

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226

Publisher

World Scientific

Published Date

ISBN 10

9811232563

ISBN 13

9789811232565

Challenge of Chemical Weapons

An American Perspective

By: Victor A. Utgoff

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Challenge of Chemical Weapons

An American Perspective

By: Victor A. Utgoff

This book traces through a 100+ year history of evolving chemical weapons technology, public attitudes toward these weapons, attempts to negotiate controls on them, and important instances in which nations chose to use or forego the use of chemical weapons.

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293

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Springer

Published Date

ISBN 10

1349117595

ISBN 13

9781349117598

Painlevé Transcendents

The Riemann-Hilbert Approach

By: Athanassios S. Fokas,Alexander R. Its,Andrei A. Kapaev,Victor Yu. Novokshenov

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Painlevé Transcendents

The Riemann-Hilbert Approach

By: Athanassios S. Fokas,Alexander R. Its,Andrei A. Kapaev,Victor Yu. Novokshenov

At the turn of the twentieth century, the French mathematician Paul Painlevé and his students classified second order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of their solutions does not depend on initial conditions. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painlevé I–VI. Although these equations were initially obtained answering a strictly mathematical question, they appeared later in an astonishing (and growing) range of applications, including, e.g., statistical physics, fluid mechanics, random matrices, and orthogonal polynomials. Actually, it is now becoming clear that the Painlevé transcendents (i.e., the solutions of the Painlevé equations) play the same role in nonlinear mathematical physics that the classical special functions, such as Airy and Bessel functions, play in linear physics. The explicit formulas relating the asymptotic behaviour of the classical special functions at different critical points play a crucial role in the applications of these functions. It is shown in this book that even though the six Painlevé equations are nonlinear, it is still possible, using a new technique called the Riemann-Hilbert formalism, to obtain analogous explicit formulas for the Painlevé transcendents. This striking fact, apparently unknown to Painlevé and his contemporaries, is the key ingredient for the remarkable applicability of these “nonlinear special functions”. The book describes in detail the Riemann-Hilbert method and emphasizes its close connection to classical monodromy theory of linear equations as well as to modern theory of integrable systems. In addition, the book contains an ample collection of material concerning the asymptotics of the Painlevé functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painlevé equations and related areas.

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570

Publisher

American Mathematical Society

Published Date

ISBN 10

1470475561

ISBN 13

9781470475567

The Essential Victor Hugo

By: Victor Hugo

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The Essential Victor Hugo

By: Victor Hugo

To the English, I am "shocking"...What's more, French, which is disgusting; republican, which is abominable; exiled, which is repulsive; defeated, which is infamous. To top it all off, a poet...' Victor Hugo dominated literary life in France for over half a century, pouring forth novels, poems, plays, and other writings with unflagging zest and vitality. Here, for the first time in English, all aspects of his work are represented within a single volume. Famous scenes from the novels Notre-Dame, Les Misérables, and The Toilers of the Sea are included, as well as excerpts from his intimate diaries, poems of love and loss, and scathing denunciations of the political establishment. All the chosen passages are self-contained and can be enjoyed without any previous knowledge of Hugo's work. Much of the material is appearing in English for the first time, and most of it has never before been annotated thoroughly in any language.

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576

Publisher

OUP Oxford

Published Date

ISBN 10

0191623261

ISBN 13

9780191623264

Representation Theory and Complex Geometry

By: Neil Chriss,victor ginzburg

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Representation Theory and Complex Geometry

By: Neil Chriss,victor ginzburg

The book is largely self-contained...There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups...An attractive feature is the attempt to convey some informal ‘wisdom’ rather than only the precise definitions. As a number of results [are] due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory...it has already proved successful in introducing a new generation to the subject." (Bulletin of the AMS)

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506

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Springer Science & Business Media

Published Date

ISBN 10

0817649387

ISBN 13

9780817649388

Economics, Social Science and Pluralism

A Real-World Approach

By: Victor A. Beker

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Economics, Social Science and Pluralism

A Real-World Approach

By: Victor A. Beker

In the work of most classical economists – including Smith and Keynes – theory was often embedded in application. But from the second half of the last century on, mainstream economics styled itself as “pure” economics, where the theory is presented in a very abstract form detached from any application. This book maintains that economics is a social science whose mission is to explain and, when possible, predict, phenomena of the real-world economy. The book argues that the first step to restore economics as a social science is to define what issues economics should address. Only after this research agenda is established should the appropriate methodology be chosen, not the other way around. In this respect, examples from other social sciences as well as from natural sciences are considered more appropriate models for economics rather than physics. Moreover, the need for a closer interaction with psychology, sociology and other social sciences is required to restore the discipline to that field instead of acting as a branch of applied mathematics. The book also argues for a more pluralist approach to economic education to enable prospective economists to understand real-world economic phenomena and potential policy solution. For this reason, a good economics education should necessarily include the study of economic history and of the institutional environment. This book is essential reading for anyone who wants to see economics return to its origins as a social science.

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160

Publisher

Routledge

Published Date

ISBN 10

1000598837

ISBN 13

9781000598834

Methods of Noncommutative Analysis

Theory and Applications

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

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Methods of Noncommutative Analysis

Theory and Applications

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

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385

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110813548

ISBN 13

9783110813548

Dynamical Systems X

General Theory of Vortices

By: Victor V. Kozlov

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Dynamical Systems X

General Theory of Vortices

By: Victor V. Kozlov

This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. In addition, it details some interesting applications of the general theory of vortices, such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics.

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193

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Springer Science & Business Media

Published Date

ISBN 10

3662068001

ISBN 13

9783662068007

Victor Hugo and the Visionary Novel

By: Victor Brombert

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Victor Hugo and the Visionary Novel

By: Victor Brombert

Victor Brombert reassesses in a modern perspective the power and originality of Hugo's work, and provides a new interpretation of Hugo's narrative art as well as a synthesis of his poetic and moral vision. The twenty-eight drawings by Hugo reproduced in this book are further testimony to the visionary nature of Hugo's imagination.

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320

Publisher

Harvard University Press

Published Date

ISBN 10

0674935519

ISBN 13

9780674935518

Semi-Classical Approximation in Quantum Mechanics

By: Victor P. Maslov,M.V. Fedoriuk

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Semi-Classical Approximation in Quantum Mechanics

By: Victor P. Maslov,M.V. Fedoriuk

This volume is concerned with a detailed description of the canonical operator method - one of the asymptotic methods of linear mathematical physics. The book is, in fact, an extension and continuation of the authors' works [59], [60], [65]. The basic ideas are summarized in the Introduction. The book consists of two parts. In the first, the theory of the canonical operator is develop ed, whereas, in the second, many applications of the canonical operator method to concrete problems of mathematical physics are presented. The authors are pleased to express their deep gratitude to S. M. Tsidilin for his valuable comments. THE AUTHORS IX INTRODUCTION 1. Various problems of mathematical and theoretical physics involve partial differential equations with a small parameter at the highest derivative terms. For constructing approximate solutions of these equations, asymptotic methods have long been used. In recent decades there has been a renaissance period of the asymptotic methods of linear mathematical physics. The range of their applicability has expanded: the asymptotic methods have been not only continuously used in traditional branches of mathematical physics but also have had an essential impact on the development of the general theory of partial differential equations. It appeared recently that there is a unified approach to a number of problems which, at first sight, looked rather unrelated.

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320

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Springer Science & Business Media

Published Date

ISBN 10

1402003064

ISBN 13

9781402003066

Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary

By: Victor Ivrii

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Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary

By: Victor Ivrii

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244

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Springer

Published Date

ISBN 10

3540389113

ISBN 13

9783540389118

Bioactive Foods in Promoting Health

Probiotics and Prebiotics

By: Victor R Preedy,Ronald Ross Watson

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Bioactive Foods in Promoting Health

Probiotics and Prebiotics

By: Victor R Preedy,Ronald Ross Watson

Bioactive Foods in Promoting Health: Probiotics and Prebiotics brings together experts working on the different aspects of supplementation, foods, and bacterial preparations, in health promotion and disease prevention, to provide current scientific information, as well as providing a framework upon which to build clinical disease treatment studies. Since common dietary bacterial preparations are over-the-counter and readily available, this book will be useful to the growing nutrition, food science, and natural product community that will use it as a resource in identifying dietary behavioral modifications in pursuit of improved health as well as for treatment of specific disease, as it focuses on the growing body of knowledge of the role of various bacteria in reducing disease risk and disease. Probiotics are now a multi-billion-dollar, dietary supplement business which is built upon extremely little research data. In order to follow the 1994 ruling, the U.S. Food and Drug Administration with the support of Congress is currently pushing this industry to base its claims and products on scientific research. Research as shown that dietary habits need to be altered for most people whether for continued or improved good health. The conclusions and recommendations from the various chapters in this book will provide a basis for those important factors of change by industry with new uses. Animal studies and early clinical ones will lead to new uses and studies. Particularly the cutting edge experimental and clinical studies from Europe will provide novel approaches to clinical uses through their innovative new studies. - Heavy emphasis on clinical applications (benefits and/or lack thereof) as well as future biomedical therapeutic uses identified in animal model studies - Focused on therapies and data supporting them for application in clinical medicine as complementary and alternative medicines - Key insights into gut flora and the potential health benefits thereof - Health scientists and nutritionists will use this information to map out key areas of research. Food scientists will use it in product development - Information on pre-and probiotics as important sources of micro-and macronutrients - Aids in the development of methods of bio-modification of dietary plant molecules for health promotion - Coverage of a broad range of bacterial consituents - Nutritionists will use the information to identify which of these constituents should be used as dietary supplements based on health status of an individual - Science-based information on the health promoting characteristics of pre-and probiotics - Provides defense of food selections for individual consumption based on health needs and current status - Diverse international authoring team experienced in studying prebiotics and probiotics for medical practice - Unusally broad range of experiences and newly completed clinical and animal studies provides extended access to latest information

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Page Count

638

Publisher

Academic Press

Published Date

ISBN 10

0080958540

ISBN 13

9780080958545

Book's by Victor Guillemin

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