Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis

An Introduction To Nonlinear Analysis

Second Ed.
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Last edited by ImportBot
August 17, 2023 | History

Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis

An Introduction To Nonlinear Analysis

Second Ed.
  • 1 Want to read

Many applied mathematical disciplines, such as dynamical systems and optimization theory as well as classical mathematical disciplines like differential geometry and the theory of Lie groups, have a common foundation in general topology and multivariate calculus in normed vector spaces. In this book, students from both pure and applied subjects are offered an opportunity to work seriously with fundamental notions from mathematical analysis that are important not only from a mathematical point of view but also occur frequently in the theoretical parts of, for example, the engineering sciences. The book provides complete proofs of the basic results from topology and differentiability of mappings in normed vector spaces. It is a useful resource for students and researchers in mathematics and the many sciences that depend on fundamental techniques from mathematical analysis.

Publish Date
Language
English
Pages
304

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Edition Availability
Cover of: Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis
Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis: An Introduction To Nonlinear Analysis
28 November, 2019, World Scientific Publishing Co Pvt Ltd
Hardcover in English - Second Ed.
Cover of: Fundamental Concepts in Modern Analysis
Fundamental Concepts in Modern Analysis
1999, World Scientific Publishing Co Pte Ltd
in English
Cover of: Fundamental Concepts in Modern Analysis
Fundamental Concepts in Modern Analysis
1999, World Scientific Publishing Co Pte Ltd
in English

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Book Details


Table of Contents

-- Preface to the Second Edition
-- Preface to the First Edition
-- Preliminary Notions
-- It Began with the Numbers
-- Basic Concepts in Topology
-- Advanced Concepts in Topology
-- Metric Structures in Vector Spaces
-- Differentiation in Normed Vector Spaces
-- Higher Order Derivatives
-- Differentiable Manifolds
-- An Introduction to Singularity Theory
-- An Introduction to Geometric Variational Problems
-- Bibliography
-- List of Symbols
-- Index

Edition Notes

Originally published: 1999.
Includes bibliographical references and index.
Readership: Lecturers and students in pure and applied mathematics, theoretical engineering and the physical sciences.

Published in
Singapore, Denmark
Other Titles
an introduction to nonlinear analysis
Copyright Date
©2019

Classifications

Dewey Decimal Class
515
Library of Congress
QA300 .H353 2020, QA300.H353 2020

The Physical Object

Format
Hardcover
Pagination
xvi, 286 pages : illustrations ; 24 cm
Number of pages
304
Weight
1 pounds

ID Numbers

Open Library
OL37859690M
ISBN 10
9811209405
ISBN 13
9789811209406
LCCN
2019046832
OCLC/WorldCat
1226674959
Goodreads
53924374

Work Description

In this second edition, the notions of compactness and sequentially compactness are developed with independent proofs for the main results. Thereby the material on compactness is apt for direct applications also in functional analysis, where the notion of sequentially compactness prevails. This edition also covers a new section on partial derivatives, and new material has been incorporated to make a more complete account of higher order derivatives in Banach spaces, including full proofs for symmetry of higher order derivatives and Taylor's formula. The exercise material has been reorganized from a collection of problem sets at the end of the book to a section at the end of each chapter with further results. Readers will find numerous new exercises at different levels of difficulty for practice.

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History

Download catalog record: RDF / JSON
August 17, 2023 Edited by ImportBot import existing book
February 1, 2023 Edited by ImportBot import existing book
May 7, 2022 Edited by Kaustubh Chakraborty Added second new edition.
May 7, 2022 Created by Kaustubh Chakraborty Added new book.