Applied Functional Analysis: Applications to Mathematical Physics (Applied Mathematical Sciences, 108) by Eberhard Zeidler (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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 usefull.The book is not complete. However he missing subjects usually are in the other colection by the same author.

⭐This well-written text covers the fundamentals of modern linear operator theory and points out most of its connections to other branches of mathematics and physics ( differential equations, integral equations, finite elements, elasticity, quantum mechanics, and more). It includes all the basic theory on Banach spaces, Hilbert spaces, orthogonality, Fourier series, etc., and a chapter on the PDE’s of mathematical physics. The excercises are both illustrating and challenging. I find it useful for undergrads, graduate students, and as a reference for working mathematicians. Must read companion volume 109 also.Please check my other reviews in my member page (just click on my name above).

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