Metric Spaces: 53 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) - Tapa dura

Khamsi; Kirk

 
9780471418252: Metric Spaces: 53 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
Tapa dura
ISBN 10: 0471418250 ISBN 13: 9780471418252
Editorial: John Wiley & Sons, 2001

Sinopsis

Presents up-to-date Banach space results.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory material.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

An Introduction to Metric Spaces and Fixed Point Theory includes an extensive bibliography and an appendix which provides a complete summary of the concepts of set theory, including Zorn's Lemma, Tychonoff's Theorem, Zermelo's Theorem, and transfinite induction. Detailed coverage of the newest developments in metric spaces and fixed point theory makes this the most modern and complete introduction to the subject available.

MOHAMED A. KHAMSI, PhD, is Professor in the Department of Mathematical Sciences at the University of Texas at El Paso and visiting Professor in the Department of Mathematics at Kuwait University. He is also co-author of Nonstandard Methods in Fixed Point Theory.

WILLIAM A. KIRK, PhD, is Professor in the Department of Mathematics at the University of Iowa, Iowa City, Iowa. He has authored over 100 journal articles and is co-author of Topics in Metric Fixed Point.

De la contraportada

A comprehensive, basic level introduction to metric spaces and fixed point theory

An Introduction to Metric Spaces and Fixed Point Theory presents a highly self-contained treatment of the subject that is accessible for students and researchers from diverse mathematical backgrounds, including those who may have had little training in mathematics beyond calculus. It provides up-to-date coverage of the properties of metric spaces and Banach spaces, as well as a detailed summary of the primary concepts of set theory.

The authors take a unique approach to the subject by including a number of helpful basic level exercises and using a simple and accessible level of presentation. They provide a highly comprehensive development of what is known in a purely metric context-especially in hyperconvex spaces-and a number of up-to-date Banach space results which are too recent to be found in other books on the subject.

In addition to introductory coverage of metric spaces and Banach spaces, the authors provide detailed analyses of these important topics in the subject:
* Metric contraction principles
* Hyperconvex spaces
* "Normal" structures in metric spaces
* Continuous mappings in Banach spaces
* Metric fixed point theory
* Banach space ultrapowers

De la solapa interior

A comprehensive, basic level introduction to metric spaces and fixed point theory

An Introduction to Metric Spaces and Fixed Point Theory presents a highly self-contained treatment of the subject that is accessible for students and researchers from diverse mathematical backgrounds, including those who may have had little training in mathematics beyond calculus. It provides up-to-date coverage of the properties of metric spaces and Banach spaces, as well as a detailed summary of the primary concepts of set theory.

The authors take a unique approach to the subject by including a number of helpful basic level exercises and using a simple and accessible level of presentation. They provide a highly comprehensive development of what is known in a purely metric context-especially in hyperconvex spaces-and a number of up-to-date Banach space results which are too recent to be found in other books on the subject.

In addition to introductory coverage of metric spaces and Banach spaces, the authors provide detailed analyses of these important topics in the subject:
* Metric contraction principles
* Hyperconvex spaces
* Normal structures in metric spaces
* Continuous mappings in Banach spaces
* Metric fixed point theory
* Banach space ultrapowers

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
John Wiley & Sons
Año de publicación
2001
Idioma
Inglés
ISBN 10 
0471418250
ISBN 13 
9780471418252
Encuadernación
Tapa dura
Número de páginas
316
Contacto del fabricante
Wiley VCH Verlag GmbH
info@wiley-vch.de

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