Set Theory and Logic by Robert R Stoll

Set Theory and Logic by Robert R Stoll

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 Numbers
Logic -- the Statement and Predicate Calculus, etc.
Informal Axiomatic Mathematics
Boolean 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.

The late Robert R. Stoll taught mathematics at Oberlin College and at Cleveland State University. He was the recipient of several National Science Foundation grants and fellowships.

SKU	Nicht verfügbar
ISBN 13	9780486638294
ISBN 10	0486638294
Titel	Set Theory and Logic
Autor	Robert R Stoll
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Dover Publications Inc.
Erscheinungsjahr	2003-03-28
Seitenanzahl	496
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar