Handbook of analysis and its foundations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego
Academic Press
c1997
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| Schlagworte: | |
| Online-Zugang: | FAW01 Volltext |
| Beschreibung: | Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. For more information on this book, see http://math.vanderbilt.edu/ Key Features * Covers some hard-to-find results including: * Bessagas and Meyers converses of the Contraction Fixed Point Theorem * Redefinition of subnets by Aarnes and Andenaes * Ghermans characterization of topological convergences * Neumanns nonlinear Closed Graph Theorem * van Maarens geometry-free version of Sperners Lemma * Includes a few advanced topics in functional analysis * Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user * Has its own webpage: http://math.vanderbilt.edu Includes bibliographical references (p. 839-855) and index |
| Beschreibung: | 1 Online-Ressource (xxii, 883 p.) |
| ISBN: | 0126227608 9780126227604 |
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| 500 | |a Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. For more information on this book, see http://math.vanderbilt.edu/ Key Features * Covers some hard-to-find results including: * Bessagas and Meyers converses of the Contraction Fixed Point Theorem * Redefinition of subnets by Aarnes and Andenaes * Ghermans characterization of topological convergences * Neumanns nonlinear Closed Graph Theorem * van Maarens geometry-free version of Sperners Lemma * Includes a few advanced topics in functional analysis * Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user * Has its own webpage: http://math.vanderbilt.edu | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Schechter, Eric |
| author_facet | Schechter, Eric |
| author_role | aut |
| author_sort | Schechter, Eric |
| author_variant | e s es |
| building | Verbundindex |
| bvnumber | BV042317314 |
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| ctrlnum | (ZDB-33-EBS)ocn162576764 (OCoLC)175294365 (DE-599)BVBBV042317314 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317314 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 0126227608 9780126227604 |
| language | English |
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| oclc_num | 162576764 175294365 |
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| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (xxii, 883 p.) |
| psigel | ZDB-33-ESD FLA_PDA_ESD ZDB-33-ESD FAW_PDA_ESD |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | Academic Press |
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| spelling | Schechter, Eric Verfasser aut Handbook of analysis and its foundations Eric Schechter Analysis and its foundations San Diego Academic Press c1997 1 Online-Ressource (xxii, 883 p.) txt rdacontent c rdamedia cr rdacarrier Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. For more information on this book, see http://math.vanderbilt.edu/ Key Features * Covers some hard-to-find results including: * Bessagas and Meyers converses of the Contraction Fixed Point Theorem * Redefinition of subnets by Aarnes and Andenaes * Ghermans characterization of topological convergences * Neumanns nonlinear Closed Graph Theorem * van Maarens geometry-free version of Sperners Lemma * Includes a few advanced topics in functional analysis * Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user * Has its own webpage: http://math.vanderbilt.edu Includes bibliographical references (p. 839-855) and index Mathematical analysis fast Mathematical analysis Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 http://www.sciencedirect.com/science/book/9780126227604 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schechter, Eric Handbook of analysis and its foundations Mathematical analysis fast Mathematical analysis Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Handbook of analysis and its foundations |
| title_alt | Analysis and its foundations |
| title_auth | Handbook of analysis and its foundations |
| title_exact_search | Handbook of analysis and its foundations |
| title_full | Handbook of analysis and its foundations Eric Schechter |
| title_fullStr | Handbook of analysis and its foundations Eric Schechter |
| title_full_unstemmed | Handbook of analysis and its foundations Eric Schechter |
| title_short | Handbook of analysis and its foundations |
| title_sort | handbook of analysis and its foundations |
| topic | Mathematical analysis fast Mathematical analysis Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematical analysis Analysis |
| url | http://www.sciencedirect.com/science/book/9780126227604 |
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