Table of contents

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    Front Matter

    Copyright

    Dedication

    PREFACE TO THE THIRD EDITION

    PREFACE TO THE SECOND EDITION

    PREFACE TO THE FIRST EDITION

    ACKNOWLEDGMENTS

    INTRODUCTION

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    1 - VECTOR ANALYSIS

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    2 - COORDINATE SYSTEMS

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    3 - TENSOR ANALYSIS

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    4 - DETERMINANTS, MATRICES, AND GROUP THEORY

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    5 - INFINITE SERIES

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    6 - FUNCTIONS OF A COMPLEX VARIABLE I : ANALYTIC PROPERTIES MAPPING

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    7 - FUNCTIONS OF A COMPLEX VARIABLE II : CALCULUS OF RESIDUES

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    8 - DIFFERENTIAL EQUATIONS

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    9 - STURM–LIOUVILLE THEORY—ORTHOGONAL FUNCTIONS

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    10 - THE GAMMA FUNCTION (FACTORIAL FUNCTION)

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    11 - BESSEL FUNCTIONS

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    12 - LEGENDRE FUNCTIONS

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    13 - SPECIAL FUNCTIONS

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    14 - FOURIER SERIES

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    15 - INTEGRAL TRANSFORMS

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    16 - INTEGRAL EQUATIONS

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    17 - CALCULUS OF VARIATIONS

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    APPENDIX 1 - REAL ZEROS OF A FUNCTION

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    APPENDIX 2 - GAUSSIAN QUADRATURE

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    INDEX

About the book

Description

Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

Details

Copyright

Copyright © 1985 Elsevier Inc. All rights reserved.

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Authors

GEORGE ARFKEN

Miami University, Oxford, Ohio