Equivalents of the Axiom of Choice
Author: Herman Rubin
Publisher: Elsevier
Published: 1963
Total Pages: 159
ISBN-13: 0444533990
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Equivalents of the Axiom of Choice, II
Author: H. Rubin
Publisher: Elsevier
Published: 1985-03-01
Total Pages: 354
ISBN-13: 0080887651
DOWNLOAD EBOOKThis monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.
Axiom of Choice
Author: Horst Herrlich
Publisher: Springer
Published: 2006-07-21
Total Pages: 207
ISBN-13: 3540342680
DOWNLOAD EBOOKAC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
The Axiom of Choice
Author: Thomas J. Jech
Publisher: Courier Corporation
Published: 2008-01-01
Total Pages: 226
ISBN-13: 0486466248
DOWNLOAD EBOOKComprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
Handbook of Analysis and Its Foundations
Author: Eric Schechter
Publisher: Academic Press
Published: 1996-10-24
Total Pages: 907
ISBN-13: 0080532993
DOWNLOAD EBOOKHandbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/
Set Theory and Its Philosophy
Author: Michael D. Potter
Publisher: Clarendon Press
Published: 2004
Total Pages: 345
ISBN-13: 9780199269730
DOWNLOAD EBOOKA wonderful new book ... Potter has written the best philosophical introduction to set theory on the market - Timothy Bays, Notre Dame Philosophical Reviews.
Axiomatic Set Theory
Author: Patrick Suppes
Publisher: Courier Corporation
Published: 2012-05-04
Total Pages: 290
ISBN-13: 0486136876
DOWNLOAD EBOOKGeared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Naive Set Theory
Author: Paul Halmos
Publisher:
Published: 2019-06
Total Pages: 98
ISBN-13: 9781950217014
DOWNLOAD EBOOKWritten by a prominent analyst Paul. R. Halmos, this book is the most famous, popular, and widely used textbook in the subject. The book is readable for its conciseness and clear explanation. This emended edition is with completely new typesetting and corrections. Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image. The free PDF file available on the publisher's website www.bowwowpress.org
Homotopy Type Theory: Univalent Foundations of Mathematics
Author:
Publisher: Univalent Foundations
Published:
Total Pages: 484
ISBN-13:
DOWNLOAD EBOOKA Set Theory Workbook
Author: Iain Adamson
Publisher: Springer Science & Business Media
Published: 2012-09-10
Total Pages: 145
ISBN-13: 0817681388
DOWNLOAD EBOOKThis book is a companion to A general topology workbook published by Birkhiiuser last year. In an ideal world the order of publication would have been reversed, for the notation and some of the results of the present book are used in the topology book and on the other hand (the reader may be assured) no topology is used here. Both books share the word Workbook in their titles. They are based on the principle that for at least some branches of mathematics a good way for a student to learn is to be presented with a clear statement of the definitions of the terms with which the subject is concerned and then to be faced with a collection of problems involving the terms just defined. In adopting this approach with my Dundee students of set theory and general topology I found it best not to differentiate too precisely between simple illustrative examples, easy exercises and results which in conventional textbooks would be labelled as Theorems.
