Name: Elements of Set Theory By Herbert B. Enderton (University of California, Los Angeles, U.S.A.)
SKU: 9780122384400
Availability: OutOfStock

Elements of Set Theory Summary

Elements of Set Theory by Herbert B. Enderton (University of California, Los Angeles, U.S.A.)

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Contents Preface List of Symbols Chapter 1 Introduction Baby Set Theory Sets-An Informal View Classes Axiomatic Method Notation Historical Notes Chapter 2 Axioms and Operations Axioms Arbitrary Unions and Intersections Algebra of Sets Epilogue Review Exercises Chapter 3 Relations and Functions Ordered Pairs Relations n-Ary Relations Functions Infinite Cartesian Products Equivalence Relations Ordering Relations Review Exercises Chapter 4 Natural Numbers Inductive Sets Peano's Postulates Recursion on ? Arithmetic Ordering on ? Review Exercises Chapter 5 Construction of the Real Numbers Integers Rational Numbers Real Numbers Summaries Two Chapter 6 Cardinal Numbers and the Axiom of Choice Equinumerosity Finite Sets Cardinal Arithmetic Ordering Cardinal Numbers Axiom of Choice Countable Sets Arithmetic of Infinite Cardinals Continuum Hypothesis Chapter 7 Orderings and Ordinals Partial Orderings Well Orderings Replacement Axioms Epsilon-Images Isomorphisms Ordinal Numbers Debts Paid Rank Chapter 8 Ordinals and Order Types Transfinite Recursion Again Alephs Ordinal Operations Isomorphism Types Arithmetic of Order Types Ordinal Arithmetic Chapter 9 Special Topics Well-Founded Relations Natural Models Cofinality Appendix Notation, Logic, and Proofs Selected References for Further Study List of Axioms Index

Additional information

Sku

NGR9780122384400

ISBN 13

9780122384400

ISBN 10

0122384407

Title

Elements of Set Theory by Herbert B. Enderton (University of California, Los Angeles, U.S.A.)

Author

Herbert B. Enderton (University of California, Los Angeles, U.S.A.)

Condition

New

Binding type

Hardback

Publisher

Elsevier Science Publishing Co Inc

Year published

19770523

Number of pages

296

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Elements of Set Theory Herbert B. Enderton (University of California, Los Angeles, U.S.A.)

Elements of Set Theory by Herbert B. Enderton (University of California, Los Angeles, U.S.A.)

Elements of Set Theory Summary

Elements of Set Theory by Herbert B. Enderton (University of California, Los Angeles, U.S.A.)

Table of Contents

Additional information

Customer Reviews - Elements of Set Theory