Handbook of analysis and its foundations
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.
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ISBN:
9781281054432
9786611054434
9780080532998
9786611054434
9780080532998
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Grouping Information
Grouped Work ID | 10a4554a-0f81-8b5a-bb55-73da851a3bd7 |
---|---|
Grouping Title | handbook of analysis and its foundations |
Grouping Author | eric schechter |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 21:12:39PM |
Last Indexed | 2024-04-29 01:06:16AM |
Solr Fields
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0
accelerated_reader_reading_level
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author
Schechter, Eric, 1950-
author2-role
ScienceDirect (Online service)
author_display
Schechter, Eric
display_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.
format_category_ccu
eBook
format_ccu
eBook
id
10a4554a-0f81-8b5a-bb55-73da851a3bd7
isbn
9780080532998
9781281054432
9786611054434
9781281054432
9786611054434
last_indexed
2024-04-29T07:06:16.982Z
lexile_score
-1
literary_form
Non Fiction
literary_form_full
Non Fiction
primary_isbn
9781281054432
publishDate
1997
publisher
Academic Press
recordtype
grouped_work
subject_facet
Analyse mathématique
Electronic books
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
Mathematical analysis
Electronic books
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
Mathematical analysis
title_display
Handbook of analysis and its foundations
title_full
Handbook of analysis and its foundations / Eric Schechter
title_short
Handbook of analysis and its foundations
topic_facet
Analyse mathématique
Calculus
MATHEMATICS
Mathematical Analysis
Mathematical analysis
Calculus
MATHEMATICS
Mathematical Analysis
Mathematical analysis
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