Handbook of analysis and its foundations
(eBook)

Book Cover
Published:
San Diego, CA. : Academic Press, ©1997.
Format:
eBook
ISBN:
9780080532998, 0080532993, 1281054437, 9781281054432, 9786611054434, 661105443X
Physical Desc:
1 online resource (xxii, 883 pages) : illustrations
Status:
Ebsco (CCU)
Description

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.

Copies
Ebsco (CCU)
More Like This
Citations
APA Citation (style guide)

Schechter, E. (1997). Handbook of analysis and its foundations. San Diego, CA., Academic Press.

Chicago / Turabian - Author Date Citation (style guide)

Schechter, Eric, 1950-. 1997. Handbook of Analysis and Its Foundations. San Diego, CA., Academic Press.

Chicago / Turabian - Humanities Citation (style guide)

Schechter, Eric, 1950-, Handbook of Analysis and Its Foundations. San Diego, CA., Academic Press, 1997.

MLA Citation (style guide)

Schechter, Eric. Handbook of Analysis and Its Foundations. San Diego, CA., Academic Press, 1997.

Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
More Copies In Prospector
Loading Prospector Copies...
More Details
Language:
English

Notes

Bibliography
Includes bibliographical references (pages 839-855) and index.
Description
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.
Language
English.
Staff View
Grouped Work ID:
10a4554a-0f81-8b5a-bb55-73da851a3bd7
Go To GroupedWork

Record Information

Last File Modification TimeMar 06, 2024 09:19:17 PM
Last Grouped Work Modification TimeMar 21, 2024 07:04:32 AM

MARC Record

LEADER06018cam a2200817 a 4500
001ocn175294365
003OCoLC
00520240223121953.0
006m     o  d        
007cr cnu---unuuu
008071022s1997    caua    ob    001 0 eng d
040 |a N$T|b eng|e pn|c N$T|d YDXCP|d OCLCQ|d IDEBK|d E7B|d OCLCQ|d OCLCF|d NLGGC|d OCLCQ|d OPELS|d UKDOC|d COO|d OCLCQ|d AGLDB|d OCLCQ|d STF|d D6H|d OCLCQ|d VTS|d OCLCQ|d M8D|d BWN|d VLY|d OCLCO|d OCLCQ|d OCLCO|d OCLCQ|d OCLCO|d OCLCL
019 |a 162576764|a 647654272|a 742285529|a 815530702|a 823109311|a 823829824|a 823899530|a 824090801|a 824138494|a 989396700|a 1035658210|a 1110364578|a 1162259355|a 1241886375|a 1300531010
020 |a 9780080532998|q (electronic bk.)
020 |a 0080532993|q (electronic bk.)
020 |a 1281054437
020 |a 9781281054432
020 |a 9786611054434
020 |a 661105443X
020 |z 9780126227604
020 |z 0126227608|q (alk. paper)
0291 |a AU@|b 000048130847
0291 |a AU@|b 000051562270
0291 |a AU@|b 000054163204
0291 |a CHNEW|b 001007219
0291 |a DEBBG|b BV036962304
0291 |a DEBBG|b BV042317314
0291 |a DEBBG|b BV043137114
0291 |a DEBSZ|b 275196615
0291 |a DEBSZ|b 422177008
0291 |a GBVCP|b 802365124
0291 |a NZ1|b 12433443
0291 |a NZ1|b 15192865
0291 |a AU@|b 000072977291
035 |a (OCoLC)175294365|z (OCoLC)162576764|z (OCoLC)647654272|z (OCoLC)742285529|z (OCoLC)815530702|z (OCoLC)823109311|z (OCoLC)823829824|z (OCoLC)823899530|z (OCoLC)824090801|z (OCoLC)824138494|z (OCoLC)989396700|z (OCoLC)1035658210|z (OCoLC)1110364578|z (OCoLC)1162259355|z (OCoLC)1241886375|z (OCoLC)1300531010
037 |a 81766:81766|b Elsevier Science & Technology|n http://www.sciencedirect.com
050 4|a QA300|b .S339 1997eb
072 7|a MAT|x 005000|2 bisacsh
072 7|a MAT|x 034000|2 bisacsh
072 7|a PBC|2 bicssc
08204|a 515|2 22
049 |a MAIN
1001 |a Schechter, Eric,|d 1950-
24510|a Handbook of analysis and its foundations /|c Eric Schechter.
24630|a Analysis and its foundations
260 |a San Diego, CA. :|b Academic Press,|c ©1997.
300 |a 1 online resource (xxii, 883 pages) :|b illustrations
336 |a text|b txt|2 rdacontent
337 |a computer|b c|2 rdamedia
338 |a online resource|b cr|2 rdacarrier
504 |a Includes bibliographical references (pages 839-855) and index.
5880 |a Print version record.
5050 |a Sets and Orderings: Sets. Functions. Relations and Orderings. More About Sups and Infs. Filters, Topologies, and Other Sets of Sets. Constructivism and Choice. Nets and Convergences. Algebra: Elementary Algebraic Systems. Concrete Categories. The Real Numbers. Linearity. Convexity. Boolean Algebras. Logic and Intangibles. Topology and Uniformity: Topological Spaces. Separation and Regularity Axioms. Compactness. Uniform Spaces. Metric and Uniform Completeness. Baire Theory. Positive Measure and Integration. Topological Vector Spaces: Norms. Normed Operators. Generalized Riemann Integrals. Frechet Derivatives. Metrization of Groups and Vector Spaces. Barrels and Other Features of TVSs. Duality and Weak Compactness. Vector Measures. Initial Value Problems. References. Subject Index. List of Symbols.
520 |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.
546 |a English.
650 0|a Mathematical analysis.
650 6|a Analyse mathématique.
650 7|a MATHEMATICS|x Calculus.|2 bisacsh
650 7|a MATHEMATICS|x Mathematical Analysis.|2 bisacsh
650 7|a Mathematical analysis|2 fast
6530 |a Calculus
758 |i has work:|a Handbook of analysis and its foundations (Text)|1 https://id.oclc.org/worldcat/entity/E39PCH6KkKJtRmGXJJ9V3tpJj3|4 https://id.oclc.org/worldcat/ontology/hasWork
77608|i Print version:|a Schechter, Eric, 1950-|t Handbook of analysis and its foundations.|d San Diego, CA. : Academic Press, ©1997|z 0126227608|z 9780126227604|w (DLC) 96032226|w (OCoLC)35084403
85640|u http://ezproxy.ccu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=207180
938 |a 123Library|b 123L|n 34842
938 |a ebrary|b EBRY|n ebr10190996
938 |a EBSCOhost|b EBSC|n 207180
938 |a ProQuest MyiLibrary Digital eBook Collection|b IDEB|n 105443
938 |a YBP Library Services|b YANK|n 2737564
94901|h 9|l cceb|s j|t 188|w EBSCO Academic : External
994 |a 92|b FCX