ISBN13:978-1584884491 ISBN10: 1584884495 Edition/Copyright:3RD 04 Cover: Paperback Publisher:Chapman & Hall Published: 11/25/2003 International: No
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Devlin, Keith : Stanford University, Stanford, California, USA
Dr. Keith Devlin is Executive Director of Stanford University's Center for the Study of Language and Information and a Consulting Professor of Mathematics at Stanford. He has written 23 books, one interactive book on CD-ROM, and over 70 published research articles. He is a Fellow of the American Association for the Advancement of Science, a World Economic Forum Fellow, and a former member of the Mathematical Sciences Education Board of the National Academy of Sciences,. Dr. Devlin is also one of the world's leading popularizers of mathematics. Known as "The Math Guy" on NPR's Weekend Edition, he is a frequent contributor to other local and national radio and TV shows in the US and Britain, writes a monthly column for the Web journal MAA Online, and regularly writes on mathematics and computers for the British newspaper The Guardian.
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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 Study of Modern Mathematics
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
Sets Operations on Sets Real Intervals Absolute Values Inequalities Arbitrary Unions and Intersections Cartesian Products The Historical Development of Set Theory
The Function Concept Examples of Functions History of the Modern Function Concept One-One and onto Functions Composition and Inverse Functions Denumerability Uncountability
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
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