Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis
Subtitle: An Introduction To Nonlinear Analysis
By: authored by Vagn Lundsgaard Hansen
Edition: Second Ed.
Publisher: World Scientific Publishing Co Pvt Ltd
Published: 28 November, 2019
Place of publication: Singapore; Denmark
Language: eng
Format: Hardcover
Number of pages: 304
ISBN-13: 9789811209406
Copyright date: ©2019
Other titles: an introduction to nonlinear analysis
Description: 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.
Notes: Originally published: 1999.
Includes bibliographical references and index.
Readership: Lecturers and students in pure and applied mathematics, theoretical engineering and the physical sciences.
Table of contents: title: -- Preface to the Second Edition; title: -- Preface to the First Edition; title: -- Preliminary Notions; title: -- It Began with the Numbers; title: -- Basic Concepts in Topology; title: -- Advanced Concepts in Topology; title: -- Metric Structures in Vector Spaces; title: -- Differentiation in Normed Vector Spaces; title: -- Higher Order Derivatives; title: -- Differentiable Manifolds; title: -- An Introduction to Singularity Theory; title: -- An Introduction to Geometric Variational Problems; title: -- Bibliography; title: -- List of Symbols; title: -- Index