The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.
- ISBN13 9780387944425
- Publish Date 13 August 1999 (first published 30 August 1995)
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 1st ed 1995. Corr. 3rd printing 1999
- Format Hardcover
- Pages 481
- Language English