Mathematical Physics - Brossura

Menzel, Donald H.

Brossura

ISBN 10: 0486600564 ISBN 13: 9780486600567

Casa editrice: Dover Pubns, 2003

Riassunto

This is a thorough treatment in one volume of the mathematical techniques vital in classical mechanics, electromagnetic theory, quantum theory, and relativity. Designed for junior, senior, and graduate courses in mathematical physics, it presents full explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, and other advanced mathematical techniques in their logical order during the presentation of the various physical theories. The completeness of the derivations makes the book especially useful for self-study.
Several topics seldom presented, such as electron theory and relativity, appear in considerable detail, because an understanding of them is increasingly vital to the student of atomic physics. But the author's treatment of his chosen subjects in classical physics is no way slighted, and his book has proved valuable to students in all fields of physics.
The opening section provides scores of definitions, conversion factors, dimensional constants, and electromagnetic quantities for ready reference later on. There follows a full treatment of the main branches of classical physics: potential theory, spherical harmonics, vector analysis, dyadics, matrices, tensors, hydrodynamics, advanced dynamics, waves and vibrations, quantum mechanics, electromagnetic theory, and radiation theory. The book concludes with a discussion from first principles of the theory of relativity.
Nearly 200 problems ranging over a wide level of difficulty and selected from many different fields of physics are included, with answers, at ends of chapters.
"The treatment is more detailed than normal for an advanced text . . . excellent set of sections on Dyadics, Matrices, and Tensors. . . . The part on waves and vibrations is well done . . . problems well varied in difficulty." ― Journal of the Franklin Institute.

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Contenuti

PART I. PHYSICAL DIMENSIONS AND FUNDAMENTAL UNITS Units and Dimensions in Physics Dimensions of Various Physical Quantities Dimensional Analysis PART II. MECHANICS AND DYNAMICS Principles of Mechanics Theory of the Potential Vector Analysis "Dyadics, Matrices, and Tensors" Tensor Analysis Vector Operations Hydrodynamics Principles of Advanced Dynamics PART III. WAVES AND VIBRATIONS The Wave Equation The Effects of Damping in Vibrating Systems Boundary Value Problems in General PART IV. CLASSICAL ELECTROMAGNETIC THEORY Electrostatics and Magnetostatics Electromagnetism Electromagnetic Radiation PART V. RELATIVITY INDEX

Product Description

Thorough, extremely useful treatment of classical mechanics, electromagnetic theory, and relativity, includes full explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, and other advanced mathematical techniques. Nearly 200 problems with answers from many different fields of physics and varying widely in difficulty.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0486600564
• ISBN 13: 9780486600567
• Rilegatura: Copertina flessibile
• Numero di pagine: 432
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia