Elementary Functional Analysis PDF

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AUTEUR: Barbara Maccluer

TAILLE DU FICHIER: 4,70 MB

NOM DE FICHIER: Elementary Functional Analysis.pdf

ISBN: 9780387855288

DESCRIPTION

This text is intended for a one-semester introductory course in functional analysis for graduate students and well-prepared advanced undergraduates in mathematics and related fields. It is also suitable for self-study, and could be used for an independent reading course for undergraduates preparing to start graduate school. While this book is relatively short, the author has not sacrificed detail. Arguments are presented in full, and many examples are discussed, making the book ideal for the reader who may be learning the material on his or her own, without the benefit of a formal course or instructor. Each chapter concludes with an extensive collection of exercises. The choice of topics represents not only the author's preferences, but also her desire to start with the basics and still travel a lively path through some significant parts of modern functional analysis. The text includes some historical commentary, reflecting the author's belief that some understanding of the historical context of the development of any field in mathematics both deepens and enlivens one's appreciation of the subject. The prerequisites for this book include undergraduate courses in real analysis and linear algebra, and some acquaintance with the basic notions of point set topology. An Appendix provides an expository discussion of the more advanced real analysis prerequisites, which play a role primarily in later sections of the book. Barbara MacCluer is Professor of Mathematics at the University of Virginia. She also coauthored a book with Carl Cowen, Composition Operators on Spaces of Analytic Functions (CRC Press 1995).

INFORMATION

AUTEUR: Barbara Maccluer

TAILLE DU FICHIER: 7,35 MB

NOM DE FICHIER: Elementary Functional Analysis.pdf

ISBN: 9780387855288

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Elementary Functional Analysis. Authors (view affiliations) Barbara MacCluer; Textbook. 24 Citations; 1 Mentions; 38k Downloads; Part of the Graduate Texts in Mathematics book series (GTM, volume 253) Log in to check access. Buy eBook. USD 39.99 Buy eBook. USD 39.99 Instant download; Readable on all devices; Own it forever; Local sales tax included if applicable; Buy Physical Book Learn about ...

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