The Mathematical Experience: Study EditionWinner of the 1984 American 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 (1984 American 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 non-professionals 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 non-mathematics 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. The Companion Guide to the Mathematical Experience 120 pp. * Softcover * $14.95 * ISBN 0-8176-3849-0 |
From inside the book
Results 1-5 of 85
... Problem Sets 2. Varieties of Mathematical Experience The Current Individual and Collective xi xiii XV xix 1 6 8 9 13 17 20 24 26 2226 29 31 Consciousness 36 The Ideal Mathematician 38 A Physicist Looks at Mathematics 48 I. R. ...
... Problem Sets 128 4. Inner Issues Symbols Abstraction 138 142 Generalization 150 Formalization 152 Mathematical Objects and Structure ; Existence 156 Proof 163 Infinity , or the Miraculous Jar of Mathematics The Stretched String The Coin ...
... Problem Sets 247 261 261 279 295 6. Teaching and Learning Confessions of a Prep School Math Teacher 304 The Classic Classroom Crisis of Understanding and Pedagogy 306 PĆ³lya's Craft of Discovery 317 The Creation of New Mathematics : An ...
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Contents
V | 1 |
VI | 5 |
VII | 6 |
VIII | 8 |
IX | 9 |
X | 13 |
XI | 17 |
XII | 20 |
XLVIII | 203 |
XLIX | 212 |
L | 217 |
LI | 226 |
LII | 227 |
LIII | 233 |
LIV | 241 |
LV | 247 |
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 |
XXX | 85 |
XXXI | 87 |
XXXII | 97 |
XXXIII | 121 |
XXXIV | 128 |
XXXV | 138 |
XXXVI | 142 |
XXXVII | 150 |
XXXVIII | 152 |
XXXIX | 156 |
XL | 163 |
XLI | 168 |
XLII | 174 |
XLIV | 179 |
XLV | 184 |
XLVI | 188 |
XLVII | 196 |
Other editions - View all
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |
The Mathematical Experience, Study Edition Philip Davis,Reuben Hersh,Elena Anne Marchisotto Limited preview - 2011 |