Nonlinear Functional Analysis and its Applications

IV: Applications to Mathematical Physics

Author: E. Zeidler

Publisher: Springer

ISBN:

Category: Mathematics

Page: 993

View: 325

The fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.

Nonlinear Functional Analysis and its Applications

IV: Applications to Mathematical Physics

Author: E. Zeidler

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 993

View: 657

The fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.

Applied Functional Analysis

Applications to Mathematical Physics

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 481

View: 591

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.

Nonlinear Functional Analysis and Its Applications

Proceedings of the Summer Research Institute : the Result of the Thirty-first Summer Research Institute of the American Mathematical Society; Berkeley - Calif., July 11-29, 1983

Author: Felix E. Browder

Publisher: American Mathematical Soc.

ISBN:

Category: Mathematics

Page: 540

View: 972

Nonlinear Functional Analysis and Its Applications: Fixed point theorems

Author: Eberhard Zeidler

Publisher: Springer

ISBN:

Category: Mathematics

Page: 909

View: 628

From the reviews:"...has a flowing, coherent form and contains nice comments, overviews, and perspectives on the strategy and implementations of the considered procedures, and is concluded with complementary problems. Moreover, at the end of each volume there is a comprehensive and up-to-date bibliography. The work is clearly written and organized so that each chapter can be independently approached." (Zentralblatt für Mathematik und ihre Grenzgebiete)"The book is in fact dedicated to a large area of applications. Mathematicians, engineers, and natural scientists will find many interesting results." (Acta Applicandae Mathematicae)

Applied Nonlinear Functional Analysis

An Introduction

Author: Nikolaos S. Papageorgiou

Publisher: Walter de Gruyter GmbH & Co KG

ISBN:

Category: Mathematics

Page: 622

View: 280

The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis.

Nonlinear Operator Theory in Abstract Spaces and Applications

Author: Yu Qing Chen

Publisher: Nova Publishers

ISBN:

Category: Science

Page: 180

View: 268

This book primarily deals with non-linear operator theory in topological vector spaces and applications. Recently, non-linear functional analysis has become a main field of mathematics, which has played an important role in physics, mechanics and engineering, operations research and economics and many others for the past few decades. The book presents a survey of some main ideas, concepts, methods and applications in non-linear functional analysis.

Introduction to Partial Differential Equations with Applications

Author: E. C. Zachmanoglou

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 432

View: 425

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.