Includes bibliographical references and index.

The important limit processes
Infinite series
Interchange of limit processes and the delta function
Fourier series and the Fourier integral
Fourier and Laplace transforms
Functions of several variables
Vectors, surfaces, and volumes
Vector field theory
The calculus of variations
Complex numbers
Functions of a complex variable
Integration, Cauchy's Theorem, and the Cauchy integral formula
Taylor and Laurent series
The Residue theorem and Contour integration
Conformal mapping
Linear spaces
Linear operators
The linear equation Lx=c
The Eigenvalue problem Lx={u019B}x
First-order equations
Higher-order systems
Quantitative methods : the phase plane
Quantitative methods
Perturbation techniques
Separation of variables and transform methods
Classification and the method of characteristics
Green's functions and perturbation techniques
Finite-difference methods

"A longtime classic text in applied mathematics, this volume also serves as a reference for undergraduate and graduate students of engineering. Topics include real variable theory, complex variables, linear analysis, partial and ordinary differential equations, and other subjects. Answers to selected exercises are provided, along with Fourier and Laplace transformation tables and useful formulas. 1978 edition"--