ENGLISH

Applied functional analysis: applications to mathematical physics

By Eberhard Zeidler

Book information

Publisher
Springer
Year
1995
ISBN
0387944427, 9780387944425
LCC
QA1 .A647 vol. 108,QA320 .A647 vol. 108
Open Library ID
OL1117085M
Language
english
Format
DJVU
Filesize
3 MB (3577690 bytes)
Series
Applied Mathematical Sciences
Edition
Springer
Pages
509\509
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

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.

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