Linear Functional Analysis: An Application-Oriented Introduction (Universitext) - Softcover

Alt, Hans Wilhelm Wilhelm

Softcover

ISBN 10: 1447172795 ISBN 13: 9781447172796

Verlag: Springer, 2016

Inhaltsangabe

THIS BOOK GIVES AN INTRODUCTION TO LINEAR FUNCTIONAL ANALYSIS, WHICH IS A SYNTHESIS OF ALGEBRA, TOPOLOGY, AND ANALYSIS. IN ADDITION TO THE BASIC THEORY&NBSP;IT EXPLAINS OPERATOR THEORY, DISTRIBUTIONS, SOBOLEV SPACES, AND MANY OTHER THINGS. THE TEXT IS SELF-CONTAINED AND INCLUDES ALL PROOFS, AS WELL AS MANY EXERCISES, MOST OF THEM WITH SOLUTIONS. MOREOVER, THERE ARE A NUMBER OF APPENDICES, FOR EXAMPLE ON LEBESGUE INTEGRATION THEORY.<DIV><I><BR></I></DIV><DIV>A COMPLETE INTRODUCTION TO THE SUBJECT,&NBSP;<I>LINEAR FUNCTIONAL ANALYSIS</I>&NBSP;WILL BE PARTICULARLY USEFUL TO READERS WHO WANT TO QUICKLY GET TO THE KEY STATEMENTS AND WHO ARE INTERESTED IN APPLICATIONS TO DIFFERENTIAL EQUATIONS.</DIV>

Über diesen Titel

Críticas

“The volume under review deals rigorously with mathematical models of certain applicability to real world problems. From this viewpoint it is a significant contribution to a currently active area of research. ... this book will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations. ... I wholeheartedly recommend this book both as a textbook, as well as for independent study.” (Vicenţiu D. Rădulescu, zbMATH 1358.46002, 2017)

Reseña del editor

This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory.
A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2016
• ISBN 10: 1447172795
• ISBN 13: 9781447172796
• Einband: Tapa blanda
• Sprache: Englisch
• Auflage: 1
• Anzahl der Seiten: 448