Advanced Mathematics in Physics and Engineering

By Arthur Bronwell | Go to book overview

Advanced Mathematics
in
Physics and Engineering

ARTHUR BRONWELL
Professor of Electrical Engineering Northwestern University Secretary, American Society for Engineering Education

FIRST EDITION

New York Toronto London
McGRAW-HILL BOOK COMPANY, INC.
1953

-iii-

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Advanced Mathematics in Physics and Engineering
Table of contents

Table of contents

  • Title Page iii
  • Preface vii
  • Contents xi
  • Chapter 1 Infinite Series 1
  • Chapter 2 - Complex Numbers and Hyperbolic Functions 19
  • Chapter 3 - Fourier Series and Fourier Integral 26
  • References 40
  • Chapter 4 Ordinary Differential Equations 42
  • References 64
  • Chapter 5 Series Solution of Differential Equations-- Bessel and Legendre Equations 66
  • References 98
  • Chapter 6 - Partial Differentiation 102
  • References 114
  • Chapter 7 Elastic Vibrations and Electric Oscillations-- - Systems with Lumped Constants 117
  • References 139
  • Chapter 8 Vibration in Systems with Distributed Elements 145
  • References 176
  • Chapter 9 Lagrange's Equations 179
  • References 194
  • Chapter 10 Vector Analysis 197
  • References 229
  • Chapter 11 Solutions of the Wave Equation 233
  • Chapter 12 - Heat Flow 254
  • References 272
  • Chapter 13 Dynamics of Fluids 276
  • References 307
  • Chapter 14 - Electromagnetic Theory 311
  • References 335
  • Chapter 15 Functions of a Complex Variable 339
  • References 383
  • Chapter 16 Complex Roots of Polynomials--Dynamic Stability 386
  • References 413
  • Chapter 17 Laplace Transformations 414
  • References 455
  • Answers to Problems 459
  • Index 469
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