Beginning Functional Analysis

Karen Saxe

ISBN 10: 1441929142 / ISBN 13: 9781441929143

Edité par Springer New York, Springer US Dez 2010, 2010

A propos de cet article

Neuware -This book is designed as a text for a first course on functional analysis for ad vanced undergraduates or for beginning graduate students. It can be used in the undergraduate curriculum for an honors seminar, or for a 'capstone' course. It can also be used for self-study or independent study. The course prerequisites are few, but a certain degree of mathematical sophistication is required. A reader must have had the equivalent of a first real analysis course, as might be taught using [25] or [109], and a first linear algebra course. Knowledge of the Lebesgue integral is not a prerequisite. Throughout the book we use elementary facts about the complex numbers; these are gathered in Appendix A. In one spe cific place (Section 5.3) we require a few properties of analytic functions. These are usually taught in the first half of an undergraduate complex analysis course. Because we want this book to be accessible to students who have not taken a course on complex function theory, a complete description of the needed results is given. However, we do not prove these results.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 216 pp. Englisch.

N° de réf. du vendeur 9781441929143

Détails bibliographiques

• Titre: Beginning Functional Analysis
• Éditeur: Springer New York, Springer US Dez 2010
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 1441929142
• ISBN à 13 chiffres: 9781441929143
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

Synopsis

The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators as linear transformations on these spaces. It has been the author's goal to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed first courses in linear algebra and real analysis, and to develop the topics in their historical context.