Mathematical Physics 2000

Author : A. S. Fokas
Publisher : World Scientific Publishing Company
ISBN 13 : 9781860942303
Total Pages : 326 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Mathematical Physics 2000 written by A. S. Fokas and published by World Scientific Publishing Company. This book was released on 2000-01-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics -- superstring theory, for example, has led to remarkable progress in geometry -- while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics.

Author : Athanassios Fokas
Publisher : World Scientific
ISBN 13 : 1783261714
Total Pages : 336 pages
Book Rating : 4.10/5 ( download)

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Download or read book Mathematical Physics 2000 written by Athanassios Fokas and published by World Scientific. This book was released on 2000-05-05 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics — superstring theory, for example, has led to remarkable progress in geometry — while very pure mathematics, such as number theory, has found unexpected applications.The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics.

Author : Harry Hochstadt
Publisher : Courier Corporation
ISBN 13 : 0486168786
Total Pages : 354 pages
Book Rating : 4.84/5 ( download)

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Download or read book The Functions of Mathematical Physics written by Harry Hochstadt and published by Courier Corporation. This book was released on 2012-04-30 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics. In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest. Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics. Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations. Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.

Author : Harold Jeffreys
Publisher : Cambridge University Press
ISBN 13 : 9780521664028
Total Pages : 734 pages
Book Rating : 4.20/5 ( download)

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Download or read book Methods of Mathematical Physics written by Harold Jeffreys and published by Cambridge University Press. This book was released on 1999-11-18 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a reissue of classic textbook of mathematical methods.

Author : Global Express Ltd. Co.
Publisher : CRC Press
ISBN 13 : 9780824719876
Total Pages : 736 pages
Book Rating : 4.75/5 ( download)

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Download or read book Methods for Solving Inverse Problems in Mathematical Physics written by Global Express Ltd. Co. and published by CRC Press. This book was released on 2000-03-21 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.

Author : Robert Adolʹfovich Minlos
Publisher : American Mathematical Soc.
ISBN 13 : 0821813374
Total Pages : 114 pages
Book Rating : 4.79/5 ( download)

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Download or read book Introduction to Mathematical Statistical Physics written by Robert Adolʹfovich Minlos and published by American Mathematical Soc.. This book was released on 2000 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focusing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analysed in two ranges of physical parameters: "regular" (corresponding to high-temperature and low-density regimes) where no phase transition is exhibited, and "singular" (low temperature regimes) where such transitions occur. Next, a detailed approach to the analysis of the phenomena of phase transitions of the first kind, the Pirogov-Sinai theory, is presented. The author discusses this theory in a general way and illustrates it with the example of a lattice gas with three types of particles. The conclusion gives a brief review of recent developments arising from this theory. The volume is written for the beginner, yet advanced students will benefit from it as well. The book will serve nicely as a supplementary textbook for course study. The prerequisites are an elementary knowledge of mechanics, probability theory and functional analysis.

Author : Tai L. Chow
Publisher : Cambridge University Press
ISBN 13 : 1139427962
Total Pages : 575 pages
Book Rating : 4.68/5 ( download)

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Download or read book Mathematical Methods for Physicists written by Tai L. Chow and published by Cambridge University Press. This book was released on 2000-07-27 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics these days. It is assumed that the reader has an adequate preparation in general physics and calculus. The book bridges the gap between an introductory physics course and more advanced courses in classical mechanics, electricity and magnetism, quantum mechanics, and thermal and statistical physics. The text contains a large number of worked examples to illustrate the mathematical techniques developed and to show their relevance to physics. The book is designed primarily for undergraduate physics majors, but could also be used by students in other subjects, such as engineering, astronomy and mathematics.

Author : Philip Russell Wallace
Publisher : Courier Corporation
ISBN 13 : 0486646769
Total Pages : 644 pages
Book Rating : 4.63/5 ( download)

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Download or read book Mathematical Analysis of Physical Problems written by Philip Russell Wallace and published by Courier Corporation. This book was released on 1984-01-01 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Author : Molin Ge
Publisher : World Scientific Publishing Company
ISBN 13 : 9814340960
Total Pages : 596 pages
Book Rating : 4.60/5 ( download)

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Download or read book Fifty Years of Mathematical Physics written by Molin Ge and published by World Scientific Publishing Company. This book was released on 2016-02-16 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.

Author : Anatol N. Kirillov
Publisher : World Scientific
ISBN 13 : 9789812810007
Total Pages : 336 pages
Book Rating : 4.05/5 ( download)

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Download or read book Physics and Combinatorics 2000 written by Anatol N. Kirillov and published by World Scientific. This book was released on 2001 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in their fields and to discuss existing and possible interactions between the mentioned subjects. This volume constitutes the proceedings of the workshop. Contents: Vanishing Theorems and Character Formulas for the Hilbert Scheme of Points in the Plane (M Haiman); Exclusion Statistics and Chiral Partition Function (K Hikami); On the Spectrum of Dehn Twists in Quantum Teichmller Theory (R Kashaev); Introduction to Tropical Combinatorics (A Kirillov); Transition on Grothendieck Polynomials (A Lascoux); Generalized HAlder''s Theorem for Multiple Gamma Function (M Nishizawa); Quantum Calogero-Moser Models: Complete Integrability for All the Root Systems (R Sasaki); Simplification of Thermodynamic BetheOCoAnsatz Equations (M Takahashi); and other papers. Readership: Researchers and graduates in mathematical physics and combinatorics & graph theory."