The basics

Author(s)

• Just, Winfried
• Weese, Martin

Bibliographic Information

The basics

Winfried Just, Martin Weese

（Graduate studies in mathematics, v. 8 . Discovering modern set theory ; 1）

American Mathematical Society, 1998

Reprinted wih corrections 1998

• : hc

Note

Includes bibliographical references and indexes

Description and Table of Contents

Description

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 Banach-Tarski 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 self-study.

Table of Contents

Introduction Pairs, relations, and functions Partial order relations Cardinality Induction Formal languages and models Power and limitations of the axiomatic method The axioms Classes Versions of the axiom of choice The ordinals The cardinals Pictures of the universe Subject index Index of notation.

by "Nielsen BookData"

Details

• NCID: BA54698145
• ISBN:
  • 9780821802663
• LCCN: 95044663
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xvii, 210 p.
• Size: 27 cm
• Classification:
  • LCC : QA248
  • DC20 : 511.3/22
• Subject Headings:
  • LCSH : Set theory
• Parent Bibliography ID:
  • BA20542214