The Mathematical Experience, Study Edition (Google eBook)Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..."  The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to nonprofessionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to nonmathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request. 
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Review: The Mathematical Experience
User Review  Stephen  GoodreadsWonderful book for anyone interested in mathematicians and their place in society. The imaginary dialogs are hilarious. Read full review
Review: The Mathematical Experience
User Review  drublood Duro  GoodreadsI tried my best to get through this, and was encouraged by the preface that claimed non math nerds would find comprehensible material in the book. I found very little I could relate to on any level, and finally gave up. hahaha. Read full review
Contents
XIII  24 
XIV  26 
XV  29 
XVI  31 
XVII  35 
XVIII  36 
XIX  38 
XX  48 
XXI  56 
XXII  59 
XXIII  64 
XXIV  70 
XXV  75 
XXVI  76 
XXVII  85 
XXVIII  87 
XXIX  97 
XXX  121 
XXXI  128 
XXXII  138 
XXXIII  142 
XXXIV  150 
XXXV  152 
XXXVI  156 
XXXVII  163 
XXXVIII  168 
XXXIX  174 
XL  179 
XLI  184 
XLII  188 
XLIII  196 
Common terms and phrases
abstract aesthetic algebra algorithm analysis analytic answer applied mathematics argument arithmetic axiom of choice Bibliography calculation called circle complex concept conjecture construct continuum hypothesis course Davis digits Douglas Campbell elements ematics essay Euclid Euclidean geometry Euler example existence experience fact figure finite formalist formula Fourier Fourier series function Further Readings G. H. Hardy Hersh Hilbert human hypercube idea ideal infinite set infinitesimal infinity integers intuition John Higgins knowledge Lakatos logic mathe mathematical objects mathematical proof mathematicians matics means ment method natural numbers nonEuclidean geometry nonstandard notion number theory parallel postulate philosophy of mathematics physical Platonism Platonist Polya prime number prime number theorem problem proof proved question real number reason restricted set theory rigorous sense sequence solution square statement straight line symbols theorem thing tion triangle true truth University Press York zero