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Author : Jacob T. Schwartz
Release : 1969
Genre : Mathematics
Kind : eBook
Book Rating : 002/5 ( reviews)
Book Synopsis Nonlinear Functional Analysis by : Jacob T. Schwartz
Download or read book Nonlinear Functional Analysis written by Jacob T. Schwartz. This book was released on 1969. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albert Wilansky
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 251/5 ( reviews)
Book Synopsis Topics in Functional Analysis by : Albert Wilansky
Download or read book Topics in Functional Analysis written by Albert Wilansky. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jerzy Kąkol
Release : 2011-08-30
Genre : Mathematics
Kind : eBook
Book Rating : 297/5 ( reviews)
Book Synopsis Descriptive Topology in Selected Topics of Functional Analysis by : Jerzy Kąkol
Download or read book Descriptive Topology in Selected Topics of Functional Analysis written by Jerzy Kąkol. This book was released on 2011-08-30. Available in PDF, EPUB and Kindle. Book excerpt: "Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
Author : R.E. Edwards
Release : 2012-10-25
Genre : Mathematics
Kind : eBook
Book Rating : 107/5 ( reviews)
Book Synopsis Functional Analysis by : R.E. Edwards
Download or read book Functional Analysis written by R.E. Edwards. This book was released on 2012-10-25. Available in PDF, EPUB and Kindle. Book excerpt: "The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
Author : Albert Wilansky
Release : 2008-10-17
Genre : Mathematics
Kind : eBook
Book Rating : 034/5 ( reviews)
Book Synopsis Topology for Analysis by : Albert Wilansky
Download or read book Topology for Analysis written by Albert Wilansky. This book was released on 2008-10-17. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.
