Elementary Mathmatics from an Advan (Dover Books on Mathematics)

Klein, Felix

ISBN 10: 0486474410 / ISBN 13: 9780486474410

Published by Dover Publications Inc., 2004

About this Item

Most items will be dispatched the same or the next working day. An apparently unread copy in perfect condition. Dust cover is intact with no nicks or tears. Spine has no signs of creasing. Pages are clean and not marred by notes or folds of any kind.

Seller Inventory # rev5654768842

Bibliographic Details

• Title: Elementary Mathmatics from an Advan (Dover Books on Mathematics)
• Publisher: Dover Publications Inc.
• Publication Date: 2004
• ISBN 10: 0486474410
• ISBN 13: 9780486474410
• Condition: Like New
• Weight: 290 grams

About this title

Synopsis

Hailed as "eminently suitable as a text for a graduate course" by the Bulletin of the American Mathematical Society, this volume offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It offers extensive commentary and many examples in addition to an abundance of interesting, challenging exercises.
Starting with coverage of the development of the Brower degree and its applications, the text proceeds to examinations of degree mappings for infinite dimensional spaces and surveys of monotone and accretive mappings. Subsequent chapters explore the inverse function theory, the implicit function theory, and Newton's methods as well as fixed-point theory, solutions to cones, and the Galerkin method of studying nonlinear equations. The final chapters address extremal problems—including convexity, Lagrange multipliers, and mini-max theorems—and offer an introduction into bifurcation theory. Suitable for graduate-level mathematics courses, this volume also serves as a reference for professionals.

About the Author

Klaus Deimling is a Professor of Mathematics at the University of Paderborn in Germany.