Nonlinearity and Functional Analysis

Lectures on Nonlinear Problems in Mathematical Analysis

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Nonlinearity and Functional Analysis by Melvyn S. Berger, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Melvyn S. Berger ISBN: 9780080570440
Publisher: Elsevier Science Publication: October 27, 1977
Imprint: Academic Press Language: English
Author: Melvyn S. Berger
ISBN: 9780080570440
Publisher: Elsevier Science
Publication: October 27, 1977
Imprint: Academic Press
Language: English

Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences.

This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings.

This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences.

This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings.

This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.

More books from Elsevier Science

Cover of the book Archives in the Digital Age by Melvyn S. Berger
Cover of the book Low Tech Hacking by Melvyn S. Berger
Cover of the book Defect Structure in Nanomaterials by Melvyn S. Berger
Cover of the book Theory and Applications of Numerical Analysis by Melvyn S. Berger
Cover of the book The International Sugar Trade by Melvyn S. Berger
Cover of the book Seismic Waves and Rays in Elastic Media by Melvyn S. Berger
Cover of the book Computer Organization and Design RISC-V Edition by Melvyn S. Berger
Cover of the book Antibiotic Resistance by Melvyn S. Berger
Cover of the book Exploring Engineering by Melvyn S. Berger
Cover of the book OS X Incident Response by Melvyn S. Berger
Cover of the book Biothermodynamics, Part B by Melvyn S. Berger
Cover of the book Bank Risk Management in Developing Economies by Melvyn S. Berger
Cover of the book Biopharmaceutical Processing by Melvyn S. Berger
Cover of the book Chemical Contaminants and Residues in Food by Melvyn S. Berger
Cover of the book Polyaniline Blends, Composites, and Nanocomposites by Melvyn S. Berger
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy