Methods of Applied Mathematics with a Software Overview

• Main Author: Davis, Jon H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Edition: 2nd ed. 2016.
• Series: Applied and Numerical Harmonic Analysis,
• Subjects: Mathematics.; Harmonic analysis.; Fourier analysis.; Functions of complex variables.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Physics.; Fourier Analysis.; Computational Mathematics and Numerical Analysis.; Theoretical, Mathematical and Computational Physics.; Applications of Mathematics.; Abstract Harmonic Analysis.; Functions of a Complex Variable.

This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit as...

Table of Contents:

• Introduction. Fourier Series
• Elementary Boundary Value Problems
• Strum-Liouville Theory and Boundary Value Problems
• Functions of a Complex Variable
• Laplace Transforms
• Fourier Transforms
• Discrete Variable Transforms
• Additional Topics
• Linear Algebra Overview
• Software Resources
• Transform Tables.