Free shipping on orders over $99
Set Theory and Logic

Set Theory and Logic

by Robert R. Stoll
Paperback
Publication Date: 28/03/2003

Share This Book:

 
$52.99
Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the most complex and essential of modern mathematical innovations, the theory of sets (crucial to quantum mechanics and other sciences), is introduced in a most careful concept manner, aiming for the maximum in clarity and stimulation for further study in set logic. Contents include: Sets and Relations - Cantor's concept of a set, etc.Natural Number Sequence - Zorn's Lemma, etc.Extension of Natural Numbers to Real NumbersLogic - the Statement and Predicate Calculus, etc.Informal Axiomatic MathematicsBoolean AlgebraInformal Axiomatic Set TheorySeveral Algebraic Theories - Rings, Integral Domains, Fields, etc.First-Order Theories - Metamathematics, etc.Symbolic logic does not figure significantly until the final chapter. The main theme of the book is mathematics as a system seen through the elaboration of real numbers; set theory and logic are seen s efficient tools in constructing axioms necessary to the system. Mathematics students at the undergraduate level, and those who seek a rigorous but not unnecessarily technical introduction to mathematical concepts, will welcome the return to print of this most lucid work. ""Professor Stoll . . . has given us one of the best introductory texts we have seen."" - Cosmos. ""In the reviewer's opinion, this is an excellent book, and in addition to its use as a textbook (it contains a wealth of exercises and examples) can be recommended to all who wish an introduction to mathematical logic less technical than standard treatises (to which it can also serve as preliminary reading)."" - Mathematical Reviews.
ISBN:
9780486638294
9780486638294
Category:
Set theory
Format:
Paperback
Publication Date:
28-03-2003
Language:
English
Publisher:
Dover Publications Inc.
Country of origin:
United States
Pages:
496
Dimensions (mm):
217x140x27mm
Weight:
0.62kg

Click 'Notify Me' to get an email alert when this item becomes available

You can find this item in:

Show more Show less

Reviews

Be the first to review Set Theory and Logic.