An Outline of Set Theory - Brossura

Henle, James M.

Brossura

ISBN 10: 0486453375 ISBN 13: 9780486453378

Casa editrice: Dover Pubns, 2007

Riassunto

A problem-oriented introduction to set theory, this volume is intended for undergraduate courses in which students work on projects in groups and present their solutions to the class. With all necessary assistance from the instructor, students complete their weekly assignments, write short papers for their classmates, and lecture on their results. This method offers a deeper understanding of the material, as well as a clearer view of what it means to do mathematics.
An Outline of Set Theory is organized into three parts: the first presents definitions and statements of problems, the second offers suggestions for their solutions, and the third contains complete solutions. Topics include standard undergraduate set theory, as well as considerations of nonstandard analysis, large cardinals, and Goodstein's theorem. Drawn from the author's practical experience as Professor of Mathematics at Smith College, this text offers a novel and effective approach to teaching and learning the fundamentals of set theory.

Su questo libro

Product Description

An innovative problem-oriented introduction to set theory, this volume is intended for undergraduate courses in which students work in groups on projects and present their solutions to the class. The three-part treatment consists of problems, hints for their solutions, and complete answers. 1986 edition.

Contenuti

Preface Introduction Part I. Projects Logic and set theory; the natural numbers; the integers; the rationals; the real numbers; the ordinals; the cardinals; the universe; choice and infinitesimals; Goodstein's theorem Part II. Suggestions Part III. Solutions Index

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2007
• ISBN 10: 0486453375
• ISBN 13: 9780486453378
• Rilegatura: Copertina flessibile
• Numero di pagine: 145