MATHEMATICAL ANALYSIS OF PHYSICAL PROBLEMS

類似書籍推薦給您

商品描述 Intended for the advanced undergraduate or beginning graduate student, this lucid work links classical and modern physics through common techniques and concepts and acquaints the reader with a variety of mathematical tools physicists use to describe and comprehend the physical universe. For the physicist, mathematics is a language, or shorthand, for constructing workable models (necessarily approximate and incomplete) of aspects of physical reality. The present text, by a noted professor of physics at McGill University, Montreal, deals in an exceptionally well-organized way with some of the crucial mathematical tools used to construct such models. Contents include: I: The Vibrating String; II. Linear Vector Spaces; III. The Potential Equation; IV: Fourier and Laplace Transforms and Their Applications; V. Propagation and Scattering of Waves; VI. Problems of Diffusion and Attenuation; VII. Probability and Stochastic Processes; VIII. Fundamental Principles of Quantum Mechanics; IX. Some Soluble Problems of Quantum Mechanics; X. Quantum Mechanics of Many-body Problems. A special helpful feature of this volume is a Prelude to each chapter, which outlines the topics with which the chapter deals. In addition to providing a guide to the organization of its contents, it indicates the mathematical background assumed and calls attention to those methods and concepts which have an application in different physical problems. Relevant test problems are interspersed throughout the text to test the student's grasp of the material, while brief bibliographies at the chapter ends suggest further reading. Ideal as a primary or supplementary text, Mathematical Analysis of Physical Problems will reward any reader seeking a firmer grasp of the mathematical procedures by which physicists unlock the secrets of the universe.

Principles of Mathematical Analysis 3/e 2023 Edition (3版)

類似書籍推薦給您

Principles of Mathematical Analysis 3/e 2023 Edition 作者：Walter Rudin ISBN：9786269708116 版次：3 年份：2023 出版商：McGraw-Hill 頁數/規格：342頁/平裝單色 Description This book is intended to serve as a text for the course in analysis that is usually taken by advanced undergraduates or by first-year students who study mathematics. NEW to This Edition The material on functions of several variables in Chapter 9 is significantly rewritten, with many details filled in, and with more examples and more motivation. The proof of the inverse function theorem is simplified by means of the fixed point theorem about contraction mappings. Differential forms are discussed in much greater detail. Several applications of Stokes' theorem are included. The Riemann-Stieltjes integral in Chapter 6 has been trimmed a bit. A short do-it-yourself section on the gamma function has been added to Chapter 8. There is a large number of new exercises throughout the book, most of them with fairly detailed hints. Several references to articles appearing in the American Mathematical Monthly and in Mathematics Magazine are included for students to develop the habit of looking into the journal literature. 目錄 Table of Contents Chapter 1: The Real and Complex Number Systems  Chapter 2: Basic Topology  Chapter 3: Numerical Sequences and Series  Chapter 4: Continuity  Chapter 5: Differentiation  Chapter 6: The Riemann-Stieltjes Integral  Chapter 7: Sequences and Series of Functions  Chapter 8: Some Special Functions  Chapter 9: Functions of Several Variables  Chapter 10: Integration of Differential Forms  Chapter 11: The Lebesgue Theory