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Enjoyment of Math Reprint~tqw~_darksiderg

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INFO

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Title................: Enjoyment of Math Reprint

Type.................: Ebook

Reader...............: PDF Reader

Size.................: 14.6 MB

Torrent Hash.........: 978E9297A00218E3C9AFE092AB153C7C2545446D

Posted by............: ~tqw~



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CONTENTS

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http://i25.tinypic.com/i5td9d.jpg

Synopsis:

Requiring no more background than plane geometry and elementary algebra, 

this book leads the reader into some of the most fundamental ideas of 

mathematics, the ideas that make the subject exciting and interesting. 



Table Of Contents:

Preface	v

Introduction	5

1.	The Sequence of Prime Numbers	9

2.	Traversing Nets of Curves	13

3.	Some Maximum Problems	17

4.	Incommensurable Segments and Irrational Numbers	22

5.	A Minimum Property of the Pedal Triangle	27

6.	A Second Proof of the Same Minimum Property	30

7.	The Theory of Sets	34

8.	Some Combinatorial Problems	43

9.	On Waring's Problem	52

10.	On Closed Self-Intersecting Curves	61

11.	Is the Factorization of a Number into Prime Factors Unique?	66

12.	The Four-Color Problem	73

13.	The Regular Polyhedrons	82

14.	Pythagorean Numbers and Fermat's Theorem	88

15.	The Theorem of the Arithmetic and Geometric Means	95

16.	The Spanning Circle of a Finite Set of Points	103

17.	Approximating Irrational Numbers by Means of Rational Numbers	111

18.	Producing Rectilinear Motion by Means of Linkages	119

19.	Perfect Numbers	129

20.	Euler's Proof of the Infinitude of the Prime Numbers	135

21.	Fundamental Principles of Maximum Problems	139

22.	The Figure of Greatest Area with a Given Perimeter	142

23.	Periodic Decimal Fractions	147

24.	A Characteristic Property of the Circle	160

25.	Curves of Constant Breadth	163

26.	The Indispensability of the Compass for the Constructions of Elementary 

    Geometry	177

27.	A Property of the Number 30	187

28.	An Improved Inequality	192

	Notes and Remarks	197



Product Details:

    * ISBN: 0691023514

    * ISBN-13: 9780691023519

    * Format: Paperback, 216pp

    * Publisher: Princeton University Press

    * Pub. Date: November 1966

    * Edition Description: Reprint



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Greetz Fellow UL'ers

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       mazuki `jedi Flatline newartriot aXXo KingBen Paulx1 unisonband

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