Description
Taylor & Francis Ltd Sets Functions And Logic 3Rd Edition 2003 by Keith Devlin
Keith Devlin. You know him. You've read his columns in MAA Online, you've heard him on the radio, and you've seen his popular mathematics books. In between all those activities and his own research, he's been hard at work revising Sets, Functions and Logic, his standard-setting text that has smoothed the road to pure mathematics for legions of undergraduate students.Now in its third edition, Devlin has fully reworked the book to reflect a new generation. The narrative is more lively and less textbook-like. Remarks and asides link the topics presented to the real world of students' experience. The chapter on complex numbers and the discussion of formal symbolic logic are gone in favor of more exercises, and a new introductory chapter on the nature of mathematics--one that motivates readers and sets the stage for the challenges that lie ahead. Students crossing the bridge from calculus to higher mathematics need and deserve all the help they can get. Sets, Functions, and Logic, Third Edition is an affordable little book that all of your transition-course students not only can afford, but will actually read...and enjoy...and learn from.About the AuthorDr. 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. PREFACESTUDENTS START HEREWHAT IS MATHEMATICS AND WHAT DOES IT DO FOR US?It's Not Just NumbersMathematical NotationMaking the Invisible Visible This is Where You Come InThe Study of Modern Mathematics MATH SPEAKThe Language of Mathematics: Part 1Properties of the LanguageThe Language of Mathematics: Part 2Properties of Quantification Proofs in Mathematics The IntegersMathematical TruthSET THEORYSetsOperations on SetsReal Intervals Absolute ValuesInequalitiesArbitrary Unions and IntersectionsCartesian Products The Historical Development of Set TheoryFUNCTIONSThe Function ConceptExamples of FunctionsHistory of the Modern Function ConceptOne-One and onto FunctionsComposition and Inverse FunctionsDenumerability UncountabilityRELATIONSBinary Relations Properties of Relations Relations as Sets of Ordered Pairs Relations as GraphsEquivalence Relations Functions as Relations An Example: the Reals Upper Bounds. Completeness SequencesNo Answers to the ExercisesList of SymbolsIndex