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Field name	Details
Dewey Class	515
Title	Beginning Functional Analysis ([EBook] /) / by Karen Saxe.
Author	Saxe, Karen
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 2002.
Physical Details	XI, 197 p. : online resource.
Series	Undergraduate texts in mathematics 0172-6056
ISBN	9781475736878
Summary Note	The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators relating these points as linear transformations on these spaces. The author presents the basics of functional analysis with attention paid to both expository style and technical detail, while getting to interesting results as quickly as possible. The book is accessible to students who have completed first courses in linear algebra and real analysis. Topics are developed in their historical context, with accounts of the past - including biographies - appearing throughout the text. The book offers suggestions and references for further study, and many exercises. Karen Saxe is Associate Professor of Mathematics at Macalester College in St. Paul, Minnesota. She received her Ph.D. from the University of Oregon. Before joining the faculty at Macalester, she held a two-year FIPSE post-doctoral position at St. Olaf College in Northfield, Minnesota. She currently serves on the editorial board of the MAA's College Mathematics Journal. This is her first book.:
Contents note	Introduction: To the Student -- 1 Metric Spaces, Normed Spaces, Inner Product Spaces -- 2 The Topology of Metric Spaces -- 3 Measure and Integration -- 4 Fourier Analysis in Hilbert Space -- 5 An Introduction to Abstract Linear Operator Theory -- 6 Further Topics -- A Complex Numbers -- Exercises for Appendix A -- B Basic Set Theory -- Exercises for Appendix B -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-3687-8
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Authors: Saxe, Karen . Corporate Authors: SpringerLink (Online service) . Series: Undergraduate texts in mathematics . Classification: 515 .

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Beginning Functional Analysis

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