Functional analysis (Record no. 55793)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02906nam a22002777a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20191022125352.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191022b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470454739 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 HAA |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Haase, Markus |
| 245 ## - TITLE STATEMENT | |
| Title | Functional analysis |
| Remainder of title | : an elementary introduction |
| Statement of responsibility, etc | / Markus Haase |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence, Rhode Island |
| Name of publisher, distributor, etc | : American Mathematical Society, |
| Date of publication, distribution, etc | ©2014 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xviii, 372 pages |
| Dimensions | ; 26 cm |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics, v. 156. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | Inner product spaces --<br/>Normed spaces --<br/>Distance and approximation --<br/>Continuity and compactness --<br/>Banach spaces --<br/>*The Contraction Principle --<br/>The Lebesgue spaces --<br/>Hilbert Space Fundamentals --<br/>Approximation Theory and Fourier Analysis --<br/>Sobolev spaces and the Poisson Problem --<br/>Operator Theory I --<br/>Operator Theory II --<br/>Spectral Theory of compact self-adjoint operators --<br/>Applications of the Spectral Theorem --<br/>Baire's Theorem and its consequences --<br/>Duality and the Hahn-Banach Theorem --<br/>Appendix A. Background --<br/>Appendix B. The completion of a metric space --<br/>Appendix C. Bernstein's proof of Weierstrass' Theorem --<br/>Appendix D. Smooth cutoff functions --<br/>Appendix E. Some topics from Fourier Analysis --<br/>Appendix F. General Orthonormal systems. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | <br/>This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts. The exposition is clear and rigorous, featuring full and detailed proofs. Many examples illustrate the new notions and results. Each chapter concludes with a large collection of exercises, some of which are referred to in the margin of the text, tailor-made in order to guide the student digesting the new material. Optional sections and chapters supplement the mandatory parts and allow for modular teaching spanning from basic to honors track level. --Provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional analysis -- |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, Partial. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Partial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differentialekvationer -- läromedel. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Haase, Markus |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Mathematics Departmental Library |
No items available.
