Functional Analysis

Fundamentals and Applications

Michel Willem (Autor)

Buch | Softcover

213 Seiten

2015 | Softcover reprint of the original 1st ed. 2013
Birkhauser Boston Inc (Verlag)
978-1-4899-8794-5 (ISBN)

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The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.

Preface.- The Integral.- Norm.- Lebesgue Spaces.- Duality.- Sobolev Spaces.- Capacity.- Elliptic Problems.- Appendix.- Epilogue.- References.- Index of Notations.- Index.

Erscheinungsdatum	26.07.2016
Reihe/Serie	Cornerstones
Zusatzinfo	18 Illustrations, black and white; XIII, 213 p. 18 illus.
Verlagsort	Secaucus
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4899-8794-0 / 1489987940
ISBN-13	978-1-4899-8794-5 / 9781489987945
Zustand	Neuware