ENGLISH

Applied functional analysis: main principles and their applications

By Eberhard Zeidler

Book information

Publisher
Springer
Year
1995
ISBN
0387944222, 9780387944227
LCC
QA1 .A647 vol. 109,QA320 .A647 vol. 109
Open Library ID
OL1115454M
Language
english
Format
DJVU
Filesize
3 MB (2759207 bytes)
Series
Applied Mathematical Sciences
Edition
1
Pages
420\420
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

Description

This is the second part of an elementary textbook which combines linear functional analysis, nonlinear 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 integral equations, differential equations, bifurcation theory, the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws (the Noether theorem), the quark model, and gauge theory in elementary particle physics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus. The first part of this textbook has been published under the title Applied Functional Analysis: Applications to Mathematical Physics.

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