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Oxton House Publishers, LLC

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The contents of Math through the Ages

Table of Contents

Preface

 

History in the Mathematics Classroom

 

The History of Mathematics in a Large Nutshell

Beginnings

Greek Mathematics

Meanwhile, in India

Arabic Mathematics

Medieval Europe

The 15th and 16th Centuries

Algebra Comes of Age

Calculus and Applied Mathematics

Rigor and Professionalism

Abstraction, Computers, and New Applications

Mathematics Today

 

Sketches

 1.  Keeping Count:  Writing Whole Numbers

 2.  Reading and Writing Arithmetic:  Where the Symbols Came From

 3.  Nothing Becomes a Number:  The Story of Zero

 4.  Broken Numbers:  Writing Fractions

 5.  Something Less Than Nothing?:  Negative Numbers

 6.  By Tens and Tenths:  Metric Measurement

 7.  Measuring the Circle:  The Story of π

 8.  The Cossic Art:  Writing Algebra with Symbols

 9.  Linear Thinking:  Solving First Degree Equations

10.  A Square and Things:  Quadratic Equations

11.  Intrigue in Renaissance Italy:  Solving Cubic Equations

12.  A Cheerful Fact:  The Pythagorean Theorem

13.  A Marvelous Proof:  Fermat's Last Theorem

14.  On Beauty Bare:  Euclid's Plane Geometry

15.  In Perfect Shape:  The Platonic Solids

16.  Shapes by the Numbers:  Coordinate Geometry

17.  Impossible, Imaginary, Useful:  Complex Numbers

18.  Half Is Better:  Sine and Cosine

19.  Strange New Worlds:  The Non-Euclidean Geometries

20.  In the Eye of the Beholder:  Projective Geometry

21.  What's in a Game?:  The Start of Probability Theory

22.  Making Sense of Data:  Statistics Becomes a Science

23.  Machines that Think?:  Electronic Computers

24.  The Arithmetic of Reasoning:  Logic and Boolean Algebra

25.  Beyond Counting:  Infinity and the Theory of Sets

 

What to Read Next

The Reference Shelf

Fifteen Historical Books You Ought to Read

Internet and Other Media

 

Bibliography

 

Index

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To see any of the following sample pages, just click on its name.

Preface, complete

The first page of:

The History ... in a Large Nutshell

The 15th and 16th Centuries

Keeping Count

The Cossic Art

Impossible, Imaginary, Useful

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“This is a beautiful, important book, a pleasure to read...”

Barry Mazur, Harvard Univ.

“A marvelous book...very well organized and thus very user friendly...a wonderful resource for teachers.”

Victor Katz, U. of the District of Columbia

“I highly recommend this book for every math teacher’s personal library.”

Karen Dee Michalowicz
The Langley School, McLean, VA

 

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© 2006 Oxton House Publishers, LLC

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Made by Serif

Original Edition
paperback  
$19.95

Expanded Edition
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$47.95

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