Discovering Modern Set Theory, Part 2

W. Just, Martin Weese

ISBN 10: 0821805282 / ISBN 13: 9780821805282

Published by American Mathematical Society, US, 1997

About this Item

This is the second volume of a two-volume graduate text in set theory. The first volume covered the basics of modern set theory and was addressed primarily to beginning graduate students. This second volume is intended as a bridge between introductory set theory courses and advanced monographs that cover selected branches of set theory, such as forcing or large cardinals. The authors give short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, Martin's Axiom, closed unbounded and stationary sets, the Diamond Principle ($\diamond$), and the use of elementary submodels. Great care has been taken to motivate the concepts and theorems presented. The book is written as a dialogue with the reader.The presentation is interspersed with numerous exercises. The authors wish to entice readers into active participation in discovering the mathematics presented, making the book particularly suitable for self-study. Each topic is presented rigorously and in considerable detail. Carefully planned exercises lead the reader to active mastery of the techniques presented. Suggestions for further reading are given. Volume II can be read independently of Volume I.

Seller Inventory # LU-9780821805282

Bibliographic Details

• Title: Discovering Modern Set Theory, Part 2
• Publisher: American Mathematical Society, US
• Publication Date: 1997
• Language: English
• ISBN 10: 0821805282
• ISBN 13: 9780821805282
• Binding: Hardback
• Condition: New
• Dimensions: 18.42W x 1.91H x 26.67D centimeters 18.42 centimeters width by 1.91 centimeters height by 26.67 centimeters depth
• Weight: 635 grams

About this title

Synopsis

The second in a two-volume text for a graduate course or self- study in set theory. Volume I would be the best prerequisite, but any background would suffice that supplied a basic naive and axiomatic knowledge of set theory, and some knowledge of mathematical logic and general topology. Introduces various set- theory techniques that have been fertile applied in other fields. Bibliographic references are minimal. The member price is $29. Annotation c. by Book News, Inc., Portland, Or.

From the Publisher

A Station Favorable to the Pursuits of Science: - Albree, et al.

The edition is carefully done, the 40-page introductory chapter [is] informative and captivating, and above all, the rich bibliography and the annotated catalog can prove of great utility for a historian of American mathematical education and research.

Zentralblatt f\"ur Mathematik