Mathematical Analysis of Physical Problems

Philip Wallace

ISBN 10: 0486646769 / ISBN 13: 9780486646763

Editore: Dover Pubns, New York, 1984

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8vo pp. xix 616."This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more.". Codice articolo 108723

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Titolo: Mathematical Analysis of Physical Problems

Casa editrice: Dover Pubns, New York

Data di pubblicazione: 1984

Legatura: Brossura

Condizione: Very Good

Condizione sovraccoperta: Paperback

Tipologia articolo: book

Descrizione articolo

Riassunto:

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.

Informazioni sull?autore:

Canadian theoretical physicist Philip Wallace (1916&;2006) was a longtime professor at McGill University. He is best remembered for his pioneering 1947 paper on graphite and graphene, later the subject of research by recipients of the 2010 Nobel Prize in Physics.