[PDF] Graduate Mathematical Physics eBook

Author : Michael Stone
Publisher : Cambridge University Press
Page : 821 pages
File Size : 35,34 MB
Release : 2009-07-09
Category : Science
ISBN : 1139480618

GET BOOK

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 : Philippe Dennery
Publisher : Courier Corporation
Page : 420 pages
File Size : 21,49 MB
Release : 2012-06-11
Category : Science
ISBN : 0486157121

GET BOOK

Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.

Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 40,17 MB
Release : 2013-04-09
Category : Mathematics
ISBN : 1475720637

GET BOOK

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Author : H. W. Wyld
Publisher : CRC Press
Page : 395 pages
File Size : 11,53 MB
Release : 2018-03-14
Category : Science
ISBN : 0429978642

GET BOOK

This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 12,49 MB
Release : 2002-02-08
Category : Science
ISBN : 9780387985794

GET BOOK

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 : Donald H. Menzel
Publisher : Courier Corporation
Page : 434 pages
File Size : 41,49 MB
Release : 2012-05-23
Category : Science
ISBN : 0486139107

GET BOOK

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.

Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 620 pages
File Size : 37,59 MB
Release : 2004-12-16
Category : Mathematics
ISBN : 9780521829601

GET BOOK

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 27,14 MB
Release : 2013-11-11
Category : Mathematics
ISBN : 038721562X

GET BOOK

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 : Richard Courant
Publisher : John Wiley & Sons
Page : 852 pages
File Size : 39,96 MB
Release : 2008-09-26
Category : Science
ISBN : 3527617248

GET BOOK

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Author : A. N. Tikhonov
Publisher : Courier Corporation
Page : 802 pages
File Size : 35,15 MB
Release : 2013-09-16
Category : Mathematics
ISBN : 0486173364

GET BOOK

Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.