Applied Functional Analysis: Applications to Mathematical Physics (Applied Mathematical Sciences) (v. 108): Eberhard Zeidler

Description

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 Analysis: Main Principles and Their Applications.

Review:
This is a incredible book on applied functional analyses.Every topic is motivated with an applied problem. The definitions are motivated either by the aplication or by the subsequent use.There are remainders showing you the inteconections between the subjects and finally the index and the Symbols index are both complete and very useful. The book is not complete. However he missing subjects usually are in the other colection by the same author.

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