Combinatorial Set Theory: With a Gentle Introduction to Forcing Hardcover - 2011 - 2012th Edition
by Lorenz J. Halbeisen
From the rear cover
This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing.
The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research.
This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.
Details
- Title Combinatorial Set Theory: With a Gentle Introduction to Forcing
- Author Lorenz J. Halbeisen
- Binding Hardcover
- Edition number 2012th
- Edition 2012
- Pages 456
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2011-12-09
- Illustrated Yes
- Features Illustrated
- ISBN 9781447121725 / 1447121724
- Weight 1.84 lbs (0.83 kg)
- Dimensions 9.21 x 6.14 x 1 in (23.39 x 15.60 x 2.54 cm)
- Dewey Decimal Code 511.322
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Combinatorial Set Theory : With a Gentle Introduction to Forcing
by Lorenz J. Halbeisen
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Combinatorial Set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics)
by Halbeisen, Lorenz J
- New
- Hardcover
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- Hardcover
- ISBN 10 / ISBN 13
- 9781447121725 / 1447121724
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