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Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 620 pages
File Size : 45,6 Mb
Release : 2004-12-16
Category : Mathematics
ISBN : 0521829607
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,5 Mb
Release : 2004-12-16
Category : Science
ISBN : 9781139455831
This book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required.
Author : Peter Szekeres
Publisher : Unknown
Page : 616 pages
File Size : 40,9 Mb
Release : 2004
Category : Electronic
ISBN : OCLC:1137354455
This book provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required.
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 55,8 Mb
Release : 2002-02-08
Category : Science
ISBN : 0387985794
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Author : Victor P. Pikulin,Stanislav I. Pohozaev
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 42,9 Mb
Release : 2012-01-05
Category : Mathematics
ISBN : 9783034802673
Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.
Author : Michael Reed,Barry Simon
Publisher : Gulf Professional Publishing
Page : 417 pages
File Size : 42,6 Mb
Release : 1980
Category : Functional analysis
ISBN : 9780125850506
"This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.
Author : Michael Spivak
Publisher : Unknown
Page : 733 pages
File Size : 52,6 Mb
Release : 2010
Category : Mechanics
ISBN : 0914098322
Author : Kai S. Lam
Publisher : World Scientific
Page : 622 pages
File Size : 46,6 Mb
Release : 2003
Category : Science
ISBN : 9812384545
This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; (3) topology and differential geometry.The following are noteworthy features of this book: the style of exposition is a fusion of those common in the standard physics and mathematics literatures; the level of exposition varies from quite elementary to moderately advanced, so that the book is of interest to a wide audience; despite the diversity of the topics covered, there is a strong degree of thematic unity; much care is devoted to detailed cross-referencing so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.
Author : Michael Stone,Paul Goldbart
Publisher : Cambridge University Press
Page : 128 pages
File Size : 43,5 Mb
Release : 2009-07-09
Category : Science
ISBN : 9781139480611
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 54,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9780387215624
Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.
Author : Bernard F. Schutz
Publisher : Cambridge University Press
Page : 272 pages
File Size : 54,7 Mb
Release : 1980-01-28
Category : Science
ISBN : 9781107268142
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.
Author : Harry Hochstadt
Publisher : Courier Corporation
Page : 354 pages
File Size : 41,7 Mb
Release : 2012-04-30
Category : Science
ISBN : 9780486168784
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 : Russell L. Herman
Publisher : CRC Press
Page : 774 pages
File Size : 53,7 Mb
Release : 2013-12-04
Category : Mathematics
ISBN : 9781466584686
Based on the author's junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-u
Author : E. T. Whittaker,George Neville Watson,G. N. Watson
Publisher : Cambridge University Press
Page : 620 pages
File Size : 54,9 Mb
Release : 1927
Category : Mathematics
ISBN : 0521588073
This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.
Author : Donald H. Menzel
Publisher : Courier Corporation
Page : 432 pages
File Size : 41,7 Mb
Release : 2012-05-23
Category : Science
ISBN : 9780486139104
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.