Математическая физика
  • формат pdf
  • размер 1.67 МБ
  • добавлен 24 августа 2011 г.
Stone M. Methods of Mathematical Physics. Volume I
PIMANDER-CASAUBON, 2002. - 315 pages.

These notes were prepared for PHYCS-498MMA, a fairly traditional onesemester mathematical methods course for begining graduate students in physics. The emphasis is on linear operators and stresses the analogy between such operators acting on function spaces and matrices acting on finite dimensional spaces. The operator language then provides a unified framework for
investigating ordinary differential equations, partial differential equation, and integral equations.

Although this mathematics is applicable to a wide range physical phenomena, the illustrative examples are mostly drawn from classical and quantum mechanics. Classical mechanics is a subject familiar to all physics students and the point being illustrated is immediately understandable without any further specialized knowledge. Similarly all physics students have studied quantum mechanics, and here the matrix/differential-operator analogy lies at the heart of the subject.

The mathematical prerequisites for the course are a sound grasp of undergraduate calculus (including the vector calculus needed for electricity and magnetism courses), linear algebra (the more the better), and competence at complex arithmetic. Fourier sums and integrals, as well as basic ordinary differential equation theory receive a quick review, but it would help if the reader had some prior experience to build on. Contour integration is not required.
Похожие разделы
Смотрите также

Cap F.F. Mathematical Methods in Physics and Engineering with Mathematica

  • формат djvu
  • размер 1.87 МБ
  • добавлен 22 декабря 2010 г.
CRC, 2003. - 352 pages. More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering with Mathematica clearly demonstrates how to solve difficult practical problems in...

Courant R., Hilbert D. Methods of Mathematical Physics. Vol. 2: Partial Differential Equations

  • формат djvu
  • размер 10.41 МБ
  • добавлен 04 января 2012 г.
Wiley, 1966. – 811 pages. The present volume is concerned with the theory of partial differential equations, in particular with parts of this wide field that are related to concepts of physics and mechanics. Even with this restriction, completeness seems unattainable; to a certain extent the material selected corresponds to my personal experience and taste. The intention is to make an important branch of mathematical analysis more accessible by e...

Fattorini H.O., Kerber A. The Cauchy Problem

  • формат pdf
  • размер 5.57 МБ
  • добавлен 29 октября 2011 г.
Cаmbridge Univеrsity Prеss, 1984. - 668 pages. This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schr?dinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and...

Gliklikh Y.E. Global and Stochastic Analysis with Applications to Mathematical Physics

  • формат pdf
  • размер 2.9 МБ
  • добавлен 14 января 2011 г.
Springer, 2010. - 436 pages. Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems This book develops methods of Global Analysis and Stochastic Analysis such that their combination allows one to have a...

Kelly J.J. Graduate Mathematical Physics, With MATHEMATICA Supplements

  • формат pdf
  • размер 4.22 МБ
  • добавлен 23 декабря 2010 г.
Wiley-VCH, 2007. - 482 pages. This up-to-date textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. The formal methods are supplemented by applications that use MATHEMATICA to perform both symbolic and numerical calculations. The book is written by a physicist lecturer who knows the difficulties involved in applying mathematics to real problems. As many as 40 exercises...

Reed M., Simon B. Methods of Modern Mathematical Physics. Volume 1: Functional Analysis

  • формат djv
  • размер 9.34 МБ
  • добавлен 26 июня 2011 г.
Academic Press, 1980. - 400 pages. This book is the first of a multi-volume 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 des...

Reed M., Simon B. Methods of Modern Mathematical Physics. Volume 2: Fourier Analysis, Self-Adjointness

  • формат djvu
  • размер 7.1 МБ
  • добавлен 26 июня 2011 г.
Academic Press, 1975. - 361 pages. This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we g...

Reed M., Simon B. Methods of Modern Mathematical Physics. Volume 4: Analysis of Operators

  • формат djvu
  • размер 8.27 МБ
  • добавлен 26 июня 2011 г.
Academic Press, 1978. - 325 pages. Bestseller of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical Physics. This revision will make this book more attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathematical physics. This book covers the theory of eigenvalues of S...

Samarskii A.A., Vabishchevich P.N. Numerical Methods for Solving Inverse Problems of Mathematical Physics

  • формат pdf
  • размер 4.22 МБ
  • добавлен 18 декабря 2010 г.
Walter de Gruyter, 2007. - 438 pages. The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.

Stone M., Goldbart P. Mathematics for Physics: A Guided Tour for Graduate Students

  • формат pdf
  • размер 5.47 МБ
  • добавлен 20 января 2011 г.
Cambridge University Press, 2009. - 820 pages. 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, in...