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Hardcover ISBN:  9780821802663 
Product Code:  GSM/8 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
eBook ISBN:  9781470420680 
Product Code:  GSM/8.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Hardcover ISBN:  9780821802663 
eBook ISBN:  9781470420680 
Product Code:  GSM/8.B 
List Price:  $184.00 $141.50 
MAA Member Price:  $165.60 $127.35 
AMS Member Price:  $147.20 $113.20 

Book DetailsGraduate Studies in MathematicsVolume: 8; 1996; 210 ppMSC: Primary 03;
This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating BanachTarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for selfstudy.
ReadershipGraduate students and mathematicians interested in settheoretical techniques.

Table of Contents

Chapters

Introduction

Part 1: Not entirely naive set theory

Chapter 1. Pairs, relations, and functions

Chapter 2. Partial order relations

Chapter 3. Cardinality

Chapter 4. Induction

Part 2: An axiomatic foundation of set theory

Chapter 5. Formal languages and models

Chapter 6. Power and limitations of the axiomatic method

Chapter 7. The axioms

Chapter 8. Classes

Chapter 9. Versions of the Axiom of Choice

Chapter 10. The ordinals

Chapter 11. The Cardinals

Chapter 12. Pictures of the universe


Reviews

These books aim to support first courses in rigorous set theory ... are thoroughly competent: wellorganized, scrupulous in pointing out both mathematical and philosophical difficulties, carefully graded from relatively straightforward beginnings to demanding conclusions. The more interesting, and more demanding, approach is that of Just and Weese. These books are for those who not only want to learn mathematics, but want to think about mathematics.
Bulletin of the London Mathematical Society 
Well written and userfriendly.
Zentralblatt MATH 
Serious graduate students ... would profit from reading the book for the mathematical maturity they would gain in the process. The conversational, almost Socratic, style of exposition is well suited to giving students some insight into the process of doing mathematics as well as to the importance of asking the right questions ... Just and Weese's text would be ideally suited for ... students who are serious about studying set theory.
Journal of Symbolic Logic 
The careful exposition, written in a lively and very readable style which addresses the reader rather directly, provides (by explanations, comments, and remarks) much information and motivation. Recommended.
Monatshefte für Mathematik


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This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating BanachTarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for selfstudy.
Graduate students and mathematicians interested in settheoretical techniques.

Chapters

Introduction

Part 1: Not entirely naive set theory

Chapter 1. Pairs, relations, and functions

Chapter 2. Partial order relations

Chapter 3. Cardinality

Chapter 4. Induction

Part 2: An axiomatic foundation of set theory

Chapter 5. Formal languages and models

Chapter 6. Power and limitations of the axiomatic method

Chapter 7. The axioms

Chapter 8. Classes

Chapter 9. Versions of the Axiom of Choice

Chapter 10. The ordinals

Chapter 11. The Cardinals

Chapter 12. Pictures of the universe

These books aim to support first courses in rigorous set theory ... are thoroughly competent: wellorganized, scrupulous in pointing out both mathematical and philosophical difficulties, carefully graded from relatively straightforward beginnings to demanding conclusions. The more interesting, and more demanding, approach is that of Just and Weese. These books are for those who not only want to learn mathematics, but want to think about mathematics.
Bulletin of the London Mathematical Society 
Well written and userfriendly.
Zentralblatt MATH 
Serious graduate students ... would profit from reading the book for the mathematical maturity they would gain in the process. The conversational, almost Socratic, style of exposition is well suited to giving students some insight into the process of doing mathematics as well as to the importance of asking the right questions ... Just and Weese's text would be ideally suited for ... students who are serious about studying set theory.
Journal of Symbolic Logic 
The careful exposition, written in a lively and very readable style which addresses the reader rather directly, provides (by explanations, comments, and remarks) much information and motivation. Recommended.
Monatshefte für Mathematik