Mathematical Methods for Physicists and Engineers Second Corrected Edition

by Collins, Royal Eugene

• ISBN13: 9780486402291
• ISBN10: 0486402290
• eBook ISBN(s): 9780486150123
• Edition: 2nd
• Format: Paperback
• Copyright: 2011-11-30
• Publisher: Dover Publications
• More Book Details

Summary

Practical, readable volume offers advanced undergraduates and beginning graduate students the essential mathematical tools required for thorough comprehension of their disciplines. Topics cover elementary vector calculus, special functions of mathematical physics, calculus of variations, curve fitting and numerical approximation methods, and much more. Rather than aiming at complete mastery of these complicated subjects, the text focuses on the fundamental applied mathematics needed by students to deal with physics and engineering problems. An excellent self-contained study resource. 1968 edition.

Table of Contents

  Introduction

Elementary vector calculus; the vector field

Matrix algebra and transformations in linear vector spaces; dyadics

Introduction to boundary value problems and the special functions of mathematical physics

Useful properties of some special functions of mathematical physics

Solution of linear homogeneous boundary value problems; separation of variables methods and eigenfunction concepts

Elementary applications of the Laplace transform

Two-dimensional potential problems and conformal mapping; functions of a complex variable

The calculus of residues

Integral transforms; the solution of inhomogeneous partial differential equations

Inhomogeneous boundary conditions

Green's functions

Introduction to integral equations

Variation and perturbation methods; introduction to nonlinear differential equations

Elements of probability theory

Miscellaneous topics: evaluation of integrals, summation of series, curve fitting, transcendental equations

Appendices

Index

Table of Contents provided by Publisher. All Rights Reserved.