This book explains the fundamental concepts and the applications of Fourier series--and
generalizations to Fourier integrals and orthogonal series--essential learning for
scientists, engineers and mathematicians. Clearly presented definitions, principles and
theorems are illustrated in hundreds of problems solved step-by-step. Numerous additional
problems with answers after each chapter help turn knowledge into problem-solving skills.
Table of Contents
Boundary Value Problems
Fourier Series and Applications
Orthogonal Functions
Gamma, Beta and Other Special Functions
Fourier Integrals and Applications
Bessel Functions and Applications
Legendre Functions and Applications
Hermite, Laguerre and Other Orthogonal Functions
Appendices A: Uniqueness of Solutions
Appendices B: Special Fourier Series
Appendices C: Special Fourier Transforms
Appendices D: Tables of Values for J0(x) and J1(x)
Appendices E: Zeros of Bessel Functions
190 pages