Математическая физика
Математика
  • формат djvu
  • размер 2.38 МБ
  • добавлен 22 августа 2011 г.
Nikiforov A.F., Uvarov V.B. Special functions of mathematical physics: A unified introduction with applications
Publisher: Birkh?usеr, Bоston, 1988, 427 pages
Authors of this book have collected the material on special functions that is most important in mathematical physics and quantum mechanics. They have not attempted to provide the most extensive collection possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it provides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics.
Foundations of the theory of special functions
The classical orthogonal polynomials
Bessel functions
Hypergeometric functions
Solution of some problems of mathematical physics, quantum mechanics and numerical analysis
Похожие разделы
Смотрите также

Brown J.W., Churchill R.V. Fourier Series and Boundary Value Problems

  • формат djvu
  • размер 2.1 МБ
  • добавлен 11 декабря 2010 г.
McGraw-Hill, 1993. - 348 pages. Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the conce...

Byerly W.E. An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics with Applications to Problems in Mathematical Physics

  • формат pdf
  • размер 1.33 МБ
  • добавлен 27 июня 2011 г.
BiblioBazaar, 2009. - 300 pages. From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; Laplace's Equation in Curvilinear Coordinates. Ellipsoidal Harmonics. Preface: About ten years ago I gave a course of lectures on Trigonometric Series, following clos...

Firk F.W.K. Groups, Invariants and Particles

  • формат djvu
  • размер 309.79 КБ
  • добавлен 24 февраля 2011 г.
The book places the subject matter in its historical context with discussions of Galois groups, algebraic invariants, Lie groups and differential equations, presented at a level that is not the standard fare for students majoring in the Physical Sciences. A sound mathematical basis is thereby provided for the study of special unitary groups and their applications to Particle Physics. Contens: Introduction. Galois groups. Some algebraic invarian...

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...

Harper C.A. Introduction to Mathematical Physics

  • формат pdf
  • размер 12.67 МБ
  • добавлен 21 декабря 2010 г.
Prentice Hall, 1976. - 301 pages. The chief aim of this book is to provide undergraduate students, who have a working knowledge of differential and integral calculus, with most of the mathematical prerequisites required for the study of classical and quantum mechanics, electromagnetism, statistical thermodynamics, and special and general relativity as well as other areas of physics, chemistry, applied mathematics, and engineering. The selected...

Ismail M., Koelink E. (editors) Theory and Applications of Special Functions

  • формат pdf
  • размер 13.41 МБ
  • добавлен 03 декабря 2011 г.
Sрringer, 2005. - 512 pages. This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups...

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...

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...

Villaggio P. Mathematical Models for Elastic Structures

  • формат djvu
  • размер 3.11 МБ
  • добавлен 24 декабря 2010 г.
Cambridge University Press, 1997. - 693 pages. During the seventeenth century, several useful theories of elastic structures emerged, with applications to civil and mechanical engineering problems. Recent and improved mathematical tools have extended applications into new areas such as mathematical physics, geomechanics, and biomechanics. This book offers a critically filtered collection of the most significant theories dealing with elastic slen...