Sets, Functions, and Logic An Introduction to Abstract Mathematics, Third Edition

Name: Sets, Functions, and Logic An Introduction to Abstract Mathematics, Third Edition
Price: 40.65 USD
Availability: InStock
ISBN: 9781584884491

ISBN-10: 1584884495

ISBN-13: 9781584884491

Edition: 3rd 2003 (Revised)

Authors: Keith Devlin

List price: $77.95

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Description:

Since its first edition published in 1981, Set, Function and Logic has smoothed the road to higher mathematics for legions of undergraduate students. Now in its third edition, the author--a leading popularizer of mathematics -- has fully revised his text to reflect a new generation. The narrative is more lively, less textbook-like. Remarks and asides link the various topics to the real world. The chapter on complex numbers and discussion of formal symbolic logic is gone in favor of a new introductory chapter on the nature of mathematics and more exercises. The result is an affordable, thoroughly engaging book that every student making the transition from calculus to higher mathematics will…

Book details

List price: $77.95
Edition: 3rd
Copyright year: 2003
Publisher: CRC Press LLC
Publication date: 11/24/2003
Binding: Hardcover
Pages: 160
Size: 6.30" wide x 9.45" long x 0.51" tall
Weight: 0.990
Language: English



Preface


Students Start Here



What Is Mathematics and What Does It Do for Us?



It's Not Just Numbers



Mathematical Notation



Making the Invisible Visible



This Is Where You Come In



The Stuff of Modern Mathematics



Math Speak



The Language of Mathematics: Part 1



Properties of the Language



The Language of Mathematics: Part 2



Properties of Quantification



Proofs in Mathematics



The Integers



Mathematical Truth



Set Theory



Sets



Operations on Sets



Real Intervals



Absolute Values



Inequalities



Arbitrary Unions and Intersections



Cartesian Products



The Historical Development of Set Theory



Functions



The Function Concept



Examples of Functions



History of the Modern Function Concept



One-One and Onto Functions



Composition and Inverse Functions



Denumerability



Uncountability



Relations



Binary Relations



Properties of Relations



Relations as Sets of Ordered Pairs



Relations as Graphs



Equivalence Relations



Functions as Relations



An Example: The Reals



Upper Bounds. Completeness



Sequences


No Answers to the Exercises


List of Symbols


Index