Arthur Lim's Books

Design and Analysis of Control Systems

By: Arthur G.O. Mutambara

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Design and Analysis of Control Systems

By: Arthur G.O. Mutambara

Written to inspire and cultivate the ability to design and analyze feasible control algorithms for a wide range of engineering applications, this comprehensive text covers the theoretical and practical principles involved in the design and analysis of control systems. From the development of the mathematical models for dynamic systems, the author shows how they are used to obtain system response and facilitate control, then addresses advanced topics, such as digital control systems, adaptive and robust control, and nonlinear control systems.

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832

Publisher

CRC Press

Published Date

ISBN 10

1351456083

ISBN 13

9781351456081

Partial Differential Equations of Mathematical Physics

Second Edition

By: Arthur Godon Webster

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Partial Differential Equations of Mathematical Physics

Second Edition

By: Arthur Godon Webster

A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.

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465

Publisher

Courier Dover Publications

Published Date

ISBN 10

0486805158

ISBN 13

9780486805153

Positive Learning Environments

Creating and Maintaining Productive Classrooms

By: John De Nobile,Gordon Lyons (Lecturer and researcher),Michael Arthur-Kelly

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Positive Learning Environments

Creating and Maintaining Productive Classrooms

By: John De Nobile,Gordon Lyons (Lecturer and researcher),Michael Arthur-Kelly

How do you create a learning environment that's productive; one where students are engaged, learning and happy? And how do you ensure that inappropriate behaviours are kept to a minimum? This exciting new text introduces the key concepts you need to know to create and maintain your classroom as a positive learning environment. It begins by introducing four essential components that are the cornerstones of creating a positive, productive learning environment. These positive practices will set you on the pathway to success and help you establish classrooms that recognise and encourage appropriate behaviours while reducing the probability of inappropriate behaviours. It then examines in turn each of the four main groups of evidence-based approaches to managing student behaviour: behavioural, cognitive behavioural, psychoeducational and social justice approaches. For each it discusses the theories that inform them, their practical applications for fostering appropriate behaviours and also when and how to use them to proactively intervene, if necessary. By the end you will be empowered to select appropriate theories, approaches and strategies and bring these together to develop your individualised classroom management plan: one that suits your own theoretical beliefs, professional philosophy and teaching style.

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348

Publisher

Cengage AU

Published Date

ISBN 10

0170372928

ISBN 13

9780170372923

Real Analysis

By: Edward James McShane,Truman Arthur Botts

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Real Analysis

By: Edward James McShane,Truman Arthur Botts

This text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, the Lebesgue-Stieltjes integral, function spaces and harmonic analysis. Includes exercises. 1959 edition.

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290

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Courier Corporation

Published Date

ISBN 10

0486165671

ISBN 13

9780486165677

Mathematical Handbook for Scientists and Engineers

Definitions, Theorems, and Formulas for Reference and Review

By: Granino Arthur Korn,Theresa M. Korn

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Mathematical Handbook for Scientists and Engineers

Definitions, Theorems, and Formulas for Reference and Review

By: Granino Arthur Korn,Theresa M. Korn

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

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1154

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Courier Corporation

Published Date

ISBN 10

0486411478

ISBN 13

9780486411477

Patients and Healers in the Context of Culture

An Exploration of the Borderland between Anthropology, Medicine, and Psychiatry

By: Arthur Kleinman

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Patients and Healers in the Context of Culture

An Exploration of the Borderland between Anthropology, Medicine, and Psychiatry

By: Arthur Kleinman

From the Preface, by Arthur Kleinman: Patients and Healers in the Context of Culture presents a theoretical framework for studying the relationship between medicine, psychiatry, and culture. That framework is principally illustrated by materials gathered in field research in Taiwan and, to a lesser extent, from materials gathered in similar research in Boston. The reader will find this book contains a dialectical tension between two reciprocally related orientations: it is both a cross-cultural (largely anthropological) perspective on the essential components of clinical care and a clinical perspective on anthropological studies of medicine and psychiatry. That dialectic is embodied in my own academic training and professional life, so that this book is a personal statement. I am a psychiatrist trained in anthropology. I have worked in library, field, and clinic on problems concerning medicine and psychiatry in Chinese culture. I teach cross-cultural psychiatry and medical anthropology, but I also practice and teach consultation psychiatry and take a clinical approach to my major cross-cultural teaching and research involvements. The theoretical framework elaborated in this book has been applied to all of those areas; in turn, they are used to illustrate the theory. Both the theory and its application embody the same dialectic. The purpose of this book is to advance both poles of that dialectic: to demonstrate the critical role of social science (especially anthropology and cross-cultural studies) in clinical medicine and psychiatry and to encourage study of clinical problems by anthropologists and other investigators involved in cross-cultural research. This title is part of UC Press's Voices Revived program, which commemorates University of California Press's mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1980. From the Preface, by Arthur Kleinman: Patients and Healers in the Context of Culture presents a theoretical framework for studying the relationship between medicine, psychiatry, and culture. That framework is principally illustrated by materials gathered

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446

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Univ of California Press

Published Date

ISBN 10

0520340841

ISBN 13

9780520340848

Problem-Solving Strategies

By: Arthur Engel

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Problem-Solving Strategies

By: Arthur Engel

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

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404

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387226419

ISBN 13

9780387226415

An Operator Perspective on Signals and Systems

By: Arthur Frazho,Wisuwat Bhosri

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An Operator Perspective on Signals and Systems

By: Arthur Frazho,Wisuwat Bhosri

In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing. We present both the theory and algorithms with some Matlab code to solve these problems. A classical approach to spectral factorization problems in control theory is based on Riccati equations arising in linear quadratic control theory and Kalman ?ltering. One advantage of this approach is that it readily leads to algorithms in the non-degenerate case. On the other hand, this approach does not easily generalize to the nonrational case, and it is not always transparent where the Riccati equations are coming from. Operator theory has developed some elegant methods to prove the existence of a solution to some of these factorization and spectral estimation problems in a very general setting. However, these techniques are in general not used to develop computational algorithms. In this monograph, we will use operator theory with state space methods to derive computational methods to solve factorization, sp- tral estimation, and interpolation problems. It is emphasized that our approach is geometric and the algorithms are obtained as a special application of the theory. We will present two methods for spectral factorization. One method derives al- rithms based on ?nite sections of a certain Toeplitz matrix. The other approach uses operator theory to develop the Riccati factorization method. Finally, we use isometric extension techniques to solve some interpolation problems.

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430

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Springer Science & Business Media

Published Date

ISBN 10

3034602928

ISBN 13

9783034602921

Introduction to Lie Groups and Lie Algebra, 51

By: Arthur A. Sagle,R. Walde

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Introduction to Lie Groups and Lie Algebra, 51

By: Arthur A. Sagle,R. Walde

Introduction to Lie Groups and Lie Algebra, 51

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372

Publisher

Elsevier

Published Date

ISBN 10

0080925502

ISBN 13

9780080925509

Lectures on Logarithmic Algebraic Geometry

By: Arthur Ogus

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Lectures on Logarithmic Algebraic Geometry

By: Arthur Ogus

A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.

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559

Publisher

Cambridge University Press

Published Date

ISBN 10

1107187737

ISBN 13

9781107187733

Linear Approximation

By: Arthur Sard

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Linear Approximation

By: Arthur Sard

Many approximations are linear, that is, conform to the principle of super-position, and may profitably be studied by means of the theory of linear spaces. This book sets forth the pertinent parts of that theory, with particular attention to the key spaces $C_n, B, K$, and Hilbert space.

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560

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American Mathematical Soc.

Published Date

ISBN 10

0821815091

ISBN 13

9780821815090

The Psychology of Human Memory

By: Arthur Wingfield,Dennis L. Byrnes

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The Psychology of Human Memory

By: Arthur Wingfield,Dennis L. Byrnes

The Psychology of Human Memory presents a comprehensive discussion on the principles of human memory. The book is primarily concerned with theories and experiments on the acquisition and use of information. Topics on theoretical ideas that formed the basis for the earliest studies of memory; memory processes; aspects of association theory; capacity limitations; coding processes; types of memories; and applied memory research are also tackled. Psychologists, educators, psychiatrists, and students will find the book a good reference material.

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444

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Academic Press

Published Date

ISBN 10

1483259439

ISBN 13

9781483259437

Random Processes for Engineers

A Primer

By: Arthur David Snider

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Random Processes for Engineers

A Primer

By: Arthur David Snider

This book offers an intuitive approach to random processes and educates the reader on how to interpret and predict their behavior. Premised on the idea that new techniques are best introduced by specific, low-dimensional examples, the mathematical exposition is easier to comprehend and more enjoyable, and it motivates the subsequent generalizations. It distinguishes between the science of extracting statistical information from raw data--e.g., a time series about which nothing is known a priori--and that of analyzing specific statistical models, such as Bernoulli trials, Poisson queues, ARMA, and Markov processes. The former motivates the concepts of statistical spectral analysis (such as the Wiener-Khintchine theory), and the latter applies and interprets them in specific physical contexts. The formidable Kalman filter is introduced in a simple scalar context, where its basic strategy is transparent, and gradually extended to the full-blown iterative matrix form.

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182

Publisher

CRC Press

Published Date

ISBN 10

1498799051

ISBN 13

9781498799058

Collected Papers

Constructive Quantum Field Theory Selected Papers

By: James Glimm,Arthur Jaffe

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Collected Papers

Constructive Quantum Field Theory Selected Papers

By: James Glimm,Arthur Jaffe

Bibliograpby . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325 Critical point dominance in quantum field models . . . . . . . . . . . . . . . . . . . . 326 lp,'' quantum fieId model in the single-phase regioni: Differentiability of the mass and bounds on critical exponents . . . . 341 Remark on the existence of lp:. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345 On the approach to the critical point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348 Critical exponents and elementary partic1es . . . . . . . . . . . . . . . . . . . . . . . . . . 362 V Particle Structure Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 The entropy principle for vertex funetions in quantum fieId models . . . . . 372 Three-partic1e structure of lp'' interactions and the sealing limit . . . . . . . . . 397 Two and three body equations in quantum field models . . . . . . . . . . . . . . . 409 Partic1es and scaling for lattice fields and Ising models . . . . . . . . . . . . . . . . 437 The resununation of one particIe lines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 450 VI Bounds on Coupling Constants Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 Absolute bounds on vertices and couplings . . . . . . . . . . . . . . . . . . . . . . . . . . 480 The coupling constant in a lp'' field theory . . . . . . . . . . . . . . . . . . . . . . . . . . . 491 VII Confinement and Instantons Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 Instantons in a U(I) lattice gauge theory: A coulomb dipole gas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 498 Charges, vortiees and confinement. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 516 vi VIII ReOectioD Positivity Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 A note on reflection positivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 532 vii Collected Papers - Volume 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 I Infinite Renormalization of the Hamiltonian Is Necessary 9 II Quantum Field Theory Models: Parti. The ep;" Model 13 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Fock space. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Q space. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 The Hamiltonian H(g). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Removing the space cutoff. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Lorentz covariance and the Haag-Kastler axioms. . . . . . . . . . . . . . . . . . . . . . 61 Part II. The Yukawa Model 71 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 First and second order estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 Resolvent convergence and self adjointness . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 The Heisenberg picture . . . . . . " . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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554

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Springer Science & Business Media

Published Date

ISBN 10

0817632727

ISBN 13

9780817632724

Chaos: A Mathematical Introduction

By: John Banks,Valentina Dragan,Arthur Jones

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Chaos: A Mathematical Introduction

By: John Banks,Valentina Dragan,Arthur Jones

When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.

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310

Publisher

Cambridge University Press

Published Date

ISBN 10

0521531047

ISBN 13

9780521531047

Notes on Crystalline Cohomology. (MN-21)

By: Pierre Berthelot,Arthur Ogus

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Notes on Crystalline Cohomology. (MN-21)

By: Pierre Berthelot,Arthur Ogus

Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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256

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Princeton University Press

Published Date

ISBN 10

1400867312

ISBN 13

9781400867318

A Course in Econometrics

By: Arthur Stanley Goldberger

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A Course in Econometrics

By: Arthur Stanley Goldberger

This text prepares first-year graduate students and advanced undergraduates for empirical research in economics, and also equips them for specialization in econometric theory, business, and sociology. A Course in Econometrics is likely to be the text most thoroughly attuned to the needs of your students. Derived from the course taught by Arthur S. Goldberger at the University of Wisconsin-Madison and at Stanford University, it is specifically designed for use over two semesters, offers students the most thorough grounding in introductory statistical inference, and offers a substantial amount of interpretive material. The text brims with insights, strikes a balance between rigor and intuition, and provokes students to form their own critical opinions. A Course in Econometrics thoroughly covers the fundamentals--classical regression and simultaneous equations--and offers clear and logical explorations of asymptotic theory and nonlinear regression. To accommodate students with various levels of preparation, the text opens with a thorough review of statistical concepts and methods, then proceeds to the regression model and its variants. Bold subheadings introduce and highlight key concepts throughout each chapter. Each chapter concludes with a set of exercises specifically designed to reinforce and extend the material covered. Many of the exercises include real microdata analyses, and all are ideally suited to use as homework and test questions.

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430

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Harvard University Press

Published Date

ISBN 10

0674175441

ISBN 13

9780674175440

The Ellipse

A Historical and Mathematical Journey

By: Arthur Mazer

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The Ellipse

A Historical and Mathematical Journey

By: Arthur Mazer

Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical background and examples, the author brings together basic concepts from geometry, algebra, trigonometry, and calculus to uncover the ellipse as the shape of a planet's orbit around the sun. The book begins with a discussion that tells the story of man's pursuit of the ellipse, from Aristarchus to Newton's successful unveiling nearly two millenniums later. The narrative draws insightful similarities between mathematical developments and the advancement of the Greeks, Romans, Medieval Europe, and Renaissance Europe. The author begins each chapter by setting the historical backdrop that is pertinent to the mathematical material that is discussed, equipping readers with the knowledge to fully grasp the presented examples and derive the ellipse as the planetary pathway. All topics are presented in both historical and mathematical contexts, and additional mathematical excursions are clearly marked so that readers have a guidepost for the materials' relevance to the development of the ellipse. The Ellipse is an excellent book for courses on the history of mathematics at the undergraduate level. It is also a fascinating reference for mathematicians, engineers, or anyone with a general interest in historical mathematics.

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326

Publisher

John Wiley & Sons

Published Date

ISBN 10

111821143X

ISBN 13

9781118211434

The Near East

A Cultural History

By: Arthur Cotterell

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The Near East

A Cultural History

By: Arthur Cotterell

This ambitious and wide-ranging popular history is the first narrative account of the entire Near East (Turkey, Iraq, Syria, Lebanon, Jordan, Israel, Saudi Arabia and the Gulf States), from the genesis of civilization in the fourth millennium BCE until modern times. It provides an historical outline of the civilizations and cultures that dominated the region, one that has had an immense impact on the development of humankind, ever since the ancient Sumerians invented urban living and writing around 3200 BCE. Later, the Babylonians and the Assyrians built upon the Sumerian legacy. They were the world's earliest great powers, whose actions in the cradle of monotheism influenced Judaism and, eventually, Christianity and Islam. The Near East discusses the long eras of Arab, Persian and Ottoman rule, and the destabilizing intervention of Western colonial powers. Cotterell's book is a timely reminder of how historical events have shaped the outlooks of various peoples, just as political turbulence in the Near East is challenging both neighboring countries and the wider world.

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371

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Oxford University Press

Published Date

ISBN 10

1849049351

ISBN 13

9781849049351

Collected Papers Vol.1: Quantum Field Theory and Statistical Mechanics

Expositions

By: James Glimm,Arthur Jaffe

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Collected Papers Vol.1: Quantum Field Theory and Statistical Mechanics

Expositions

By: James Glimm,Arthur Jaffe

Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325 Critical point dominance in quantum field models. . . . . . . . . . . . . . . . . . . . 326 q>,' quantum field model in the single-phase regions: Differentiability of the mass and bounds on critical exponents. . . . 341 Remark on the existence of q>:. . . • . . . . • . . . . • . . . . . . . . • . • . . . . . . . . . . • . 345 On the approach to the critical point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348 Critical exponents and elementary particles. . . . . . . . . . . . . . . . . . . . . . . . . . 362 V Particle Structure Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 The entropy principle for vertex functions in quantum field models. . . . . 372 Three-particle structure of q>4 interactions and the scaling limit . . . . . . . . . 397 Two and three body equations in quantum field models. . . . . . . . . . . . . . . 409 Particles and scaling for lattice fields and Ising models. . . . . . . . . . . . . . . . 437 The resummation of one particle lines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 450 VI Bounds on Coupling Constants Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 Absolute bounds on vertices and couplings. . . . . . . . . . . . . . . . . . . . . . . . . . 480 The coupling constant in a q>4 field theory. . . . . . . . . . . . . . . . . . . . . . . . . . . 491 VII Confinement and Instantons Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 Instantons in a U(I) lattice gauge theory: A coulomb dipole gas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 498 Charges, vortices and confinement. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 516 ix VIII Reflection Positivity Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 A note on reflection positivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 532 x Introduction This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since.

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434

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Springer Science & Business Media

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ISBN 10

0817632719

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9780817632717

Einstein Manifolds

By: Arthur L. Besse

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Einstein Manifolds

By: Arthur L. Besse

Einstein's equations stem from General Relativity. In the context of Riemannian manifolds, an independent mathematical theory has developed around them. This is the first book which presents an overview of several striking results ensuing from the examination of Einstein’s equations in the context of Riemannian manifolds. Parts of the text can be used as an introduction to modern Riemannian geometry through topics like homogeneous spaces, submersions, or Riemannian functionals.

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529

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Springer Science & Business Media

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3540741208

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9783540741206

Quantum Mechanics of Particles and Wave Fields

By: Arthur March

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Quantum Mechanics of Particles and Wave Fields

By: Arthur March

A complete explanation of quantum mechanics, from its early non-relativistic formulation to the complex field theories used so extensively in modern theoretical research, this volume assumes no specialized knowledge of the subject. It stresses relativistic quantum mechanics, since this subject plays such an important role in research, explaining the principles clearly and imparting an accurate understanding of abstract concepts. This text deals with quantum mechanics from its earliest developments, covering both the quantum mechanics of wave fields and the older quantum theory of particles. The final chapter culminates with the author's presentation of his revolutionary theory of fundamental length--a concept designed to meet many of quantum theory's longstanding basic difficulties.

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308

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Courier Corporation

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048644578X

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9780486445786

Interactive Dynamic-System Simulation

By: Granino Arthur Korn

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Interactive Dynamic-System Simulation

By: Granino Arthur Korn

A hands-on tutorial, covering interactive simulation of dynamical systems such as aerospace vehicles, power plants, chemical processes, control systems, and physiological systems. In practice, simulation experiments are employed for iterative decision-making, whereby programs are run, modified, and run again and again. It is very important to emphasize interactive simulation programming. To this end, the user-friendly Microsoft Windows 95 interface is combined with the DESIRE (Direct Executing Simulation) language. The first chapter introduces dynamical system models and the principles of differential-equation-solving problems. The following chapters provide a tutorial on effective simulation programming, with examples from physics, aerospace, engineering, population dynamics, and physiology. The remaining chapters provide more detailed programming know-how.

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234

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CRC Press

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9056991566

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9789056991562

Approximate Calculation of Integrals

By: V. I. Krylov,Arthur H. Stroud

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Approximate Calculation of Integrals

By: V. I. Krylov,Arthur H. Stroud

An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

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372

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Courier Corporation

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0486445798

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9780486445793

Plane-Wave Theory of Time-Domain Fields

Near-Field Scanning Applications

By: Thorkild B. Hansen,Arthur D. Yaghjian

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Plane-Wave Theory of Time-Domain Fields

Near-Field Scanning Applications

By: Thorkild B. Hansen,Arthur D. Yaghjian

This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society.

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402

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John Wiley & Sons

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0780334280

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9780780334281

Quantum Physics

A Functional Integral Point of View

By: James Glimm,Arthur Jaffe

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Quantum Physics

A Functional Integral Point of View

By: James Glimm,Arthur Jaffe

Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions.

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551

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Springer Science & Business Media

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1461247284

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9781461247289

Book's by Arthur Lim

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