Handbook of analysis and its foundations: = Analysis and its foundations
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
San Diego, CA.
Academic Press
1997
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Schlagworte: | |
Beschreibung: | Print version record |
Beschreibung: | 1 online resource (xxii, 883 pages) illustrations |
ISBN: | 9780080532998 0080532993 1281054437 9781281054432 |
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505 | 8 | |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 | |
650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
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Datensatz im Suchindex
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any_adam_object | |
author | Schechter, Eric 1950- |
author_facet | Schechter, Eric 1950- |
author_role | aut |
author_sort | Schechter, Eric 1950- |
author_variant | e s es |
building | Verbundindex |
bvnumber | BV045342238 |
collection | ZDB-4-ENC |
contents | 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 |
ctrlnum | (ZDB-4-ENC)ocn175294365 (OCoLC)175294365 (DE-599)BVBBV045342238 |
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.BV045342238 |
illustrated | Illustrated |
indexdate | 2024-07-10T08:15:26Z |
institution | BVB |
isbn | 9780080532998 0080532993 1281054437 9781281054432 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030728940 |
oclc_num | 175294365 |
open_access_boolean | |
physical | 1 online resource (xxii, 883 pages) illustrations |
psigel | ZDB-4-ENC |
publishDate | 1997 |
publishDateSearch | 1997 |
publishDateSort | 1997 |
publisher | Academic Press |
record_format | marc |
spelling | Schechter, Eric 1950- Verfasser aut Handbook of analysis and its foundations = Analysis and its foundations Eric Schechter Analysis and its foundations San Diego, CA. Academic Press 1997 1 online resource (xxii, 883 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Print version record 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 MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Mathematical analysis fast Mathematical analysis Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 Erscheint auch als Druck-Ausgabe Schechter, Eric, 1950- Handbook of analysis and its foundations San Diego, CA. : Academic Press, 1997 0126227608 9780126227604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Schechter, Eric 1950- Handbook of analysis and its foundations = Analysis and its foundations 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 MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Mathematical analysis fast Mathematical analysis Analysis (DE-588)4001865-9 gnd |
subject_GND | (DE-588)4001865-9 |
title | Handbook of analysis and its foundations = Analysis and its foundations |
title_alt | Analysis and its foundations |
title_auth | Handbook of analysis and its foundations = Analysis and its foundations |
title_exact_search | Handbook of analysis and its foundations = Analysis and its foundations |
title_full | Handbook of analysis and its foundations = Analysis and its foundations Eric Schechter |
title_fullStr | Handbook of analysis and its foundations = Analysis and its foundations Eric Schechter |
title_full_unstemmed | Handbook of analysis and its foundations = Analysis and its foundations Eric Schechter |
title_short | Handbook of analysis and its foundations |
title_sort | handbook of analysis and its foundations analysis and its foundations |
title_sub | = Analysis and its foundations |
topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Mathematical analysis fast Mathematical analysis Analysis (DE-588)4001865-9 gnd |
topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Mathematical analysis Analysis |
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