Applied Functional Analysis: Applied Functional Analysis
Main Principles an Their Applications
(Sprache: Englisch)
The main emphasis on this volume is the discussion of the main applications and principles, such variational and those of linear functional analysis.
The book begins with the Hahn-Banach theorem and optimization problems, and variational principles. The...
The book begins with the Hahn-Banach theorem and optimization problems, and variational principles. The...
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Produktinformationen zu „Applied Functional Analysis: Applied Functional Analysis “
The main emphasis on this volume is the discussion of the main applications and principles, such variational and those of linear functional analysis.
The book begins with the Hahn-Banach theorem and optimization problems, and variational principles. The author continues with such subjects as principles of linear functional analysis and implicit function theorem and concludes with the topic of Fredholm operators.
The book begins with the Hahn-Banach theorem and optimization problems, and variational principles. The author continues with such subjects as principles of linear functional analysis and implicit function theorem and concludes with the topic of Fredholm operators.
Klappentext zu „Applied Functional Analysis: Applied Functional Analysis “
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.
Inhaltsverzeichnis zu „Applied Functional Analysis: Applied Functional Analysis “
Preface Contents of AMS Volume 108
1 The Hahn-Banach Theorem Optimization Problems
2 Variational Principles and Weak Convergence
3 Principles of Linear Functional Analysis
4 The Implicit Function Theorem
Fredholm Operators
References
List of Symbols
List of Theorems
List of Most Important Definitions
Subject Index
Autoren-Porträt von Eberhard Zeidler
Prof. Dr. Dr. h.c. Eberhard Zeidler works at the Max Planck Institute for Mathematics in the Sciences in Leipzig (Germany). In 1996 he was one of the founding directors of this institute. He is a member of the Academy of Natural Scientists Leopoldina. In 2006 he was awarded the 'Alfried Krupp Wissenschaftspreis' of the Alfried Krupp von Bohlen und Halbach-Stiftung.
Bibliographische Angaben
- Autor: Eberhard Zeidler
- 1995, 1995, 406 Seiten, 31 Abbildungen, Masse: 15,5 x 23,5 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387944222
- ISBN-13: 9780387944227
- Erscheinungsdatum: 30.08.1995
Sprache:
Englisch
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