Applied Functional Analysis: Main Principles and Their Applications (Applied Mathematical Sciences) by Eberhard Zeidler

by Eberhard Zeidler

This is the first part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. 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 and which play an important role in the history of mathematics. The book's approach begins with the question "what are the most important applications" and proceeds to try to answer this question. The 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. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus. The second part of this textbook has been published under the title, Applied Functional Main Principles and Their Applications.

Genres: Mathematics

Unknown Binding

First published June 23, 1995

About the author

Librarian Note: There is more than one author in the Goodreads database with this name.

Eberhard Zeidler is a German mathematician who worked primarily in the field of nonlinear functional analysis.