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Set Theory: The Third Millennium Edition, Revised and Expanded by Thomas Jech
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Located in: Lowell, Massachusetts, United States
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eBay item number:226078566107
Item specifics
- Condition
- Pages
- 772
- Publication Date
- 2006-03-21
- Features
- Revised Edition
- Edition Number
- 3
- ISBN
- 9783540440857
- Series
- Springer Monographs in Mathematics Ser., Springer Monographs in Mathematics
- Publication Year
- 2006, 2002
- Type
- Textbook
- Format
- Book, Hardcover
- Language
- English
- Publication Name
- Set Theory
- Item Length
- 9.3in
- Publisher
- Springer Berlin / Heidelberg, Springer
- Item Width
- 6.1in
- Item Weight
- 99.8 Oz
- Number of Pages
- 772 Pages, Xiv, 772 Pages
About this product
Product Information
This monograph covers the recent major advances in various areas of set theory. From the reviews: "One of the classical textbooks and reference books in set theory....The present 'Third Millennium' edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS
Product Identifiers
Publisher
Springer Berlin / Heidelberg, Springer
ISBN-10
3540440852
ISBN-13
9783540440857
eBay Product ID (ePID)
2394519
Product Key Features
Publication Name
Set Theory
Format
Book, Hardcover
Language
English
Series
Springer Monographs in Mathematics Ser., Springer Monographs in Mathematics
Publication Year
2006, 2002
Type
Textbook
Number of Pages
772 Pages, Xiv, 772 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Weight
99.8 Oz
Width
6.1in
Length
9.3in
Item Weight
99.8 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa8.9-10.3qa8.9-Qa10, Qa8.9-10.3
Publication Date
2006-03-21
Edition Description
Revised, Revised Edition,Expanded
Edition Number
3
Reviews
From the reviews of the third edition: "Thomas Jecha's text has long been considered a classic survey of the state of the set theory a? . As every logician will know, this is a work of extraordinary scholarship, essential for any graduate logician who needs to know where the current boundaries of research are situated. Each chapter ends with a valuable historical survey and there is an extensive bibliography. This will continue to be the bible for set theorists in the new century." (Gerry Leversha, The Mathematical Gazette, March, 2005) "The book does masterly what it is supposed to do. a? every mathematician who wishes to refresh his knowledge of set theory will read it with pleasure. a? They will also find historical notes, and precise references a? . A very comprehensive bibliography, and detailed indexes complete the work. This book fills a serious gap in the literature and there is no doubt that it will become a standard reference a? . One can strongly recommend its acquisition for any mathematical library." (Jean-Roger Roisin, Bulletin of the Belgian Mathematical Society, Vol. 11 (3), 2004) "One of the classical textbooks and reference books in set theory is Jecha's Set Theory. a? The present a?Third Millenniuma? edition a? is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master. a? This well-written book promises to influence the next generation of set theorists, much as its predecessor has done over the last quarter of a century." (Eva Coplakova, Mathematical Reviews, 2004 g) "Jecha's book, a?Set Theorya? has been a standard reference for over 25 years. This a?Third Millennium Editiona?, not only includes all the materials in the first two editions, but also covers recent developments of set theory during the last 25 years. We believe that this new version will become a standard reference on set theory for the next few years." (Guohua Wu, New Zealand Mathematical Society Newsletter, April, 2004) "Jecha's classic monograph has been a standard reference for a generation of set theorists. Though a? labeled a?The Third Millennium Editiona?, the present work is in fact a new book. ... Even sections presenting older results have been rewritten and modernized. Exercises have been moved to the end of each section. The bibliography, the section on notation, and the index have been considerably expanded as well. This new edition will certainly become a standard reference on set theory for years to come." (J'rg D. Brendle, Zentralblatt MATH, Vol. 1007, 2003) "Thomas Jecha's Set Theory contains the most comprehensive treatment of the subject in any one volume. The present third edition is a revised and expanded version a? . The third edition has three parts. The first, Jech says, every student of set theory should learn, the second every set theorist should master and the third consists of various results reflecting a'the state of the art of set theory at the turn of the new millenniuma?'. This last part especially contains a lot of new material." (Martin Bunder, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003), From the reviews of the third edition: "Thomas Jech's text has long been considered a classic survey of the state of the set theory ... . As every logician will know, this is a work of extraordinary scholarship, essential for any graduate logician who needs to know where the current boundaries of research are situated. Each chapter ends with a valuable historical survey and there is an extensive bibliography. This will continue to be the bible for set theorists in the new century." (Gerry Leversha, The Mathematical Gazette, March, 2005) "The book does masterly what it is supposed to do. ... every mathematician who wishes to refresh his knowledge of set theory will read it with pleasure. ... They will also find historical notes, and precise references ... . A very comprehensive bibliography, and detailed indexes complete the work. This book fills a serious gap in the literature and there is no doubt that it will become a standard reference ... . One can strongly recommend its acquisition for any mathematical library." (Jean-Roger Roisin, Bulletin of the Belgian Mathematical Society, Vol. 11 (3), 2004) "One of the classical textbooks and reference books in set theory is Jech's Set Theory. ... The present 'Third Millennium' edition ... is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master. ... This well-written book promises to influence the next generation of set theorists, much as its predecessor has done over the last quarter of a century." (Eva Coplakova, Mathematical Reviews, 2004 g) "Jech's book, 'Set Theory' has been a standard reference for over 25 years. This 'Third Millennium Edition', not only includes all the materials in the first two editions, but also covers recent developments of set theory during the last 25 years. We believe that this new version will become a standard reference on set theory for the next few years." (Guohua Wu, New Zealand Mathematical Society Newsletter, April, 2004) "Jech's classic monograph has been a standard reference for a generation of set theorists. Though ... labeled 'The Third Millennium Edition', the present work is in fact a new book. ... Even sections presenting older results have been rewritten and modernized. Exercises have been moved to the end of each section. The bibliography, the section on notation, and the index have been considerably expanded as well. This new edition will certainly become a standard reference on set theory for years to come." (Jörg D. Brendle, Zentralblatt MATH, Vol. 1007, 2003) "Thomas Jech's Set Theory contains the most comprehensive treatment of the subject in any one volume. The present third edition is a revised and expanded version ... . The third edition has three parts. The first, Jech says, every student of set theory should learn, the second every set theorist should master and the third consists of various results reflecting 'the state of the art of set theory at the turn of the new millennium'. This last part especially contains a lot of new material." (Martin Bunder, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003), From the reviews of the third edition: "Thomas Jech's text has long been considered a classic survey of the state of the set theory … . As every logician will know, this is a work of extraordinary scholarship, essential for any graduate logician who needs to know where the current boundaries of research are situated. Each chapter ends with a valuable historical survey and there is an extensive bibliography. This will continue to be the bible for set theorists in the new century." (Gerry Leversha, The Mathematical Gazette, March, 2005) "The book does masterly what it is supposed to do. … every mathematician who wishes to refresh his knowledge of set theory will read it with pleasure. … They will also find historical notes, and precise references … . A very comprehensive bibliography, and detailed indexes complete the work. This book fills a serious gap in the literature and there is no doubt that it will become a standard reference … . One can strongly recommend its acquisition for any mathematical library." (Jean-Roger Roisin, Bulletin of the Belgian Mathematical Society, Vol. 11 (3), 2004) "One of the classical textbooks and reference books in set theory is Jech's Set Theory. … The present 'Third Millennium' edition … is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master. … This well-written book promises to influence the next generation of set theorists, much as its predecessor has done over the last quarter of a century." (Eva Coplakova, Mathematical Reviews, 2004 g) "Jech's book, 'Set Theory' has been a standard reference for over 25 years. This 'Third Millennium Edition', not only includes all the materials in the first two editions, but also covers recent developments of set theory during the last 25 years. We believe that this new version will become a standard reference on set theory for the next few years." (Guohua Wu, New Zealand Mathematical Society Newsletter, April, 2004) "Jech's classic monograph has been a standard reference for a generation of set theorists. Though … labeled 'The Third Millennium Edition', the present work is in fact a new book. ... Even sections presenting older results have been rewritten and modernized. Exercises have been moved to the end of each section. The bibliography, the section on notation, and the index have been considerably expanded as well. This new edition will certainly become a standard reference on set theory for years to come." (Jörg D. Brendle, Zentralblatt MATH, Vol. 1007, 2003) "Thomas Jech's Set Theory contains the most comprehensive treatment of the subject in any one volume. The present third edition is a revised and expanded version … . The third edition has three parts. The first, Jech says, every student of set theory should learn, the second every set theorist should master and the third consists of various results reflecting 'the state of the art of set theory at the turn of the new millennium'. This last part especially contains a lot of new material." (Martin Bunder, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003), From the reviews of the third edition: "Thomas Jech's text has long been considered a classic survey of the state of the set theory ... . As every logician will know, this is a work of extraordinary scholarship, essential for any graduate logician who needs to know where the current boundaries of research are situated. Each chapter ends with a valuable historical survey and there is an extensive bibliography. This will continue to be the bible for set theorists in the new century." (Gerry Leversha, The Mathematical Gazette, March, 2005) "The book does masterly what it is supposed to do. ... every mathematician who wishes to refresh his knowledge of set theory will read it with pleasure. ... They will also find historical notes, and precise references ... . A very comprehensive bibliography, and detailed indexes complete the work. This book fills a serious gap in the literature and there is no doubt that it will become a standard reference ... . One can strongly recommend its acquisition for any mathematical library." (Jean-Roger Roisin, Bulletin of the Belgian Mathematical Society, Vol. 11 (3), 2004) "One of the classical textbooks and reference books in set theory is Jech's Set Theory. ... The present 'Third Millennium' edition ... is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master. ... This well-written book promises to influence the next generation of set theorists, much as its predecessor has done over the last quarter of a century." (Eva Coplakova, Mathematical Reviews, 2004 g) "Jech's book, 'Set Theory' has been a standard reference for over 25 years. This 'Third Millennium Edition', not only includes all the materials in the first two editions, but also covers recent developments of set theory during the last 25 years. We believe that this new version will become a standard reference on set theory for the next few years." (Guohua Wu, New Zealand Mathematical Society Newsletter, April, 2004) "Jech's classic monograph has been a standard reference for a generation of set theorists. Though ... labeled 'The Third Millennium Edition', the present work is in fact a new book. ... Even sections presenting older results have been rewritten and modernized. Exercises have been moved to the end of each section. The bibliography, the section on notation, and the index have been considerably expanded as well. This new edition will certainly become a standard reference on set theory for years to come." (Jrg D. Brendle, Zentralblatt MATH, Vol. 1007, 2003) "Thomas Jech's Set Theory contains the most comprehensive treatment of the subject in any one volume. The present third edition is a revised and expanded version ... . The third edition has three parts. The first, Jech says, every student of set theory should learn, the second every set theorist should master and the third consists of various results reflecting 'the state of the art of set theory at the turn of the new millennium'. This last part especially contains a lot of new material." (Martin Bunder, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003), From the reviews of the third edition: "Thomas Jech's text has long been considered a classic survey of the state of the set theory ... . As every logician will know, this is a work of extraordinary scholarship, essential for any graduate logician who needs to know where the current boundaries of research are situated. Each chapter ends with a valuable historical survey and there is an extensive bibliography. This will continue to be the bible for set theorists in the new century." (Gerry Leversha, The Mathematical Gazette, March, 2005) "The book does masterly what it is supposed to do. ... every mathematician who wishes to refresh his knowledge of set theory will read it with pleasure. ... They will also find historical notes, and precise references ... . A very comprehensive bibliography, and detailed indexes complete the work. This book fills a serious gap in the literature and there is no doubt that it will become a standard reference ... . One can strongly recommend its acquisition for any mathematical library." (Jean-Roger Roisin, Bulletin of the Belgian Mathematical Society, Vol. 11 (3), 2004) "One of the classical textbooks and reference books in set theory is Jech's Set Theory. ... The present 'Third Millennium' edition ... is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master. ... This well-written book promises to influence the next generation of set theorists, much as its predecessor has done over the last quarter of a century." (Eva Coplakova, Mathematical Reviews, 2004 g) "Jech's book, 'Set Theory' has been a standard reference for over 25 years. This 'Third Millennium Edition', not only includes all the materials in the first two editions, but also covers recent developments of set theory during the last 25 years. We believe that this new version will become a standard reference on set theory for the next few years."(Guohua Wu, New Zealand Mathematical Society Newsletter, April, 2004) "Jech's classic monograph has been a standard reference for a generation of set theorists. Though ... labeled 'The Third Millennium Edition', the present work is in fact a new book. ... Even sections presenting older results have been rewritten and modernized. Exercises have been moved to the end of each section. The bibliography, the section on notation, and the index have been considerably expanded as well. This new edition will certainly become a standard reference on set theory for years to come." (Jörg D. Brendle, Zentralblatt MATH, Vol. 1007, 2003) "Thomas Jech's Set Theory contains the most comprehensive treatment of the subject in any one volume. The present third edition is a revised and expanded version ... . The third edition has three parts. The first, Jech says, every student of set theory should learn, the second every set theorist should master and the third consists of various results reflecting 'the state of the art of set theory at the turn of the new millennium'. This last part especially contains a lot of new material." (Martin Bunder, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003)
Table of Content
I. Basic Set Theory.- Axioms of Set Theory.- Ordinal Numbers.- Cardinal Numbers.- Real Numbers.- The Axiom of Choice and Cardinal Arithmetic.- The Axiom of Regularity.- Filters, Ultrafilters and Boolean Algebras.- Stationary Sets.- Combinatorial Set Theory.- Measurable Cardinals.- Borel and Analytic Sets.- Models of Set Theory.- II. Advanced Set Theory.- Constructible Sets.- Forcing.- Applications of Forcing.- Iterated Forcing and Martin's Axiom.- Large Cardinals.- Large Cardinals and L.- Iterated Ultrapowers and LÃ'UÃÅ.- Very Large Cardinals.- Large Cardinals and Forcing.- Saturated Ideals.- The Nonstationary Ideal.- The Singular Cardinal Problem.- Descriptive Set Theory.- The Real Line.- III. Selected Topics.- Combinatorial Principles in L.- More Applications of Forcing.- More Combinatorial Set Theory.- Complete Boolean Algebras.- Proper Forcing.- More Descriptive Set Theory.- Determinacy.- Supercompact Cardinals and the Real Line.- Inner Models for Large Cadinals.- Forcing and Large Cardinals.- Martin's Maximum.- More on Stationary Sets.- Bibliography.- Notation.- Index.- Name Index., Basic Set Theory.- Axioms of Set Theory.- Ordinal Numbers.- Cardinal Numbers.- Real Numbers.- The Axiom of Choice and Cardinal Arithmetic.- The Axiom of Regularity.- Filters, Ultrafilters and Boolean Algebras.- Stationary Sets.- Combinatorial Set Theory.- Measurable Cardinals.- Borel and Analytic Sets.- Models of Set Theory.- Advanced Set Theory.- Constructible Sets.- Forcing.- Applications of Forcing.- Iterated Forcing and Martin's Axiom.- Large Cardinals.- Large Cardinals and L.- Iterated Ultrapowers and L[U].- Very Large Cardinals.- Large Cardinals and Forcing.- Saturated Ideals.- The Nonstationary Ideal.- The Singular Cardinal Problem.- Descriptive Set Theory.- The Real Line.- Selected Topics.- Combinatorial Principles in L.- More Applications of Forcing.- More Combinatorial Set Theory.- Complete Boolean Algebras.- Proper Forcing.- More Descriptive Set Theory.- Determinacy.- Supercompact Cardinals and the Real Line.- Inner Models for Large Cardinals.- Forcing and Large Cardinals.- Martin's Maximum.- More on Stationary Sets.
Copyright Date
2003
Topic
Computer Science, Set Theory, Logic
Lccn
2002-030443
Dewey Decimal
511.3/22
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Computers, Mathematics
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eBay item number:226078566107
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