Creative Mathematics

Front Cover
MAA, Mar 19, 2009 - Mathematics - 195 pages
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Professor H. S. Wall (1902-1971) developed Creative Mathematics over a period of many years of working with students at the University of Texas, Austin. His aim was to lead students to develop their mathematical abilities, to help them learn the art of mathematics, and to teach them to create mathematical ideas. This book, according to Wall, 'is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical discovery.' In less than two hundred pages, he takes the reader on a stimulating tour starting with numbers, and then moving on to simple graphs, the integral, simple surfaces, successive approximations, linear spaces of simple graphs, and concluding with mechanical systems. The book is self contained, and assumes little formal mathematical background on the part of the reader.
 

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Contents

Numbers
1
Ordered Number Pairs
11
Slope
23
Combinations of Simple Graphs
31
Theorems about Simple Graphs
37
The Simple Graphs of Trigonometry
43
The Integral
55
Computation Formulas Obtained by Means of the Integral
67
Simple Surfaces
93
Successive Approximations
119
Linear Spaces of Simple Graphs
135
More about Linear Spaces
161
Mechanical Systems
175
Integral Tables
187
Index of Simple Graphs
189
Glossary of Definitions
191

Simple Graphs Made to Order
79
More about Integrals
83

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About the author (2009)

H. S. Wall (1902-1971) was a Professor of pure mathematics at the University of Texas, Austin, where he directed the doctoral work of over sixty students.

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