T & P OF FOURIER ANALYSIS WITH APPLICATIONS TO BOUNDARY

Chapter 1 Boundary Value Problems
Chapter 2 Fourier Series and Applications
Chapter 3 Orthogonal Functions
Chapter 4 Gamma, Beta and Other Special Functions
Chapter 5 Fourier Integrals and Applications
Chapter 6 Bessel Functions and Applications
Chapter 7 Legendre Functions and Applications
Chapter 8 Hermite, Laguerre and Other Orthogonal Functions Chapter 9 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

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.