The enjoyment of math

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The enjoyment of math / by Hans Rademacher and Otto Toeplitz ; translated by Herbert Zuckerman

資料種別:

図書

出版情報:

Princeton : Princeton University Press, 1994

形態:

205 p. ; 21 cm

シリーズ名:

Princeton science library <BA0485530X>

著者名:

ISBN:

9780691023519 [0691023514] (: pbk)

書誌ID:

BA23204750

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Von Zahlen und Figuren : Proben Mathematischen Denkens für Liebhaber der Mathematik

注記:

"A translation from Von Zahlen und Figuren ... Chapters 15 and 28 by Herbert Zuckerman have been added to the English language edition" -- T.p. verso

主題:

Mathematical recreations

言語:

英語

目次情報:

Preface

Introduction

The Sequence of Prime Numbers / 1.：

Traversing Nets of Curves / 2.：

Some Maximum Problems / 3.：

Incommensurable Segments and Irrational Numbers / 4.：

A Minimum Property of the Pedal Triangle / 5.：

A Second Proof of the Same Minimum Property / 6.：

The Theory of Sets / 7.：

Some Combinatorial Problems / 8.：

On Waring's Problem / 9.：

On Closed Self-Intersecting Curves / 10.：

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

The Four-Color Problem / 12.：

The Regular Polyhedrons / 13.：

Pythagorean Numbers and Fermat's Theorem / 14.：

The Theorem of the Arithmetic and Geometric Means / 15.：

The Spanning Circle of a Finite Set of Points / 16.：

Approximating Irrational Numbers by Means of Rational Numbers / 17.：

Producing Rectilinear Motion by Means of Linkages / 18.：

Perfect Numbers / 19.：

Euler's Proof of the Infinitude of the Prime Numbers / 20.：

Fundamental Principles of Maximum Problems / 21.：

The Figure of Greatest Area with a Given Perimeter / 22.：

Periodic Decimal Fractions / 23.：

A Characteristic Property of the Circle / 24.：

Curves of Constant Breadth / 25.：

The Indispensability of the Compass for the Constructions of Elementary Geometry / 26.：

A Property of the Number 30 / 27.：

An Improved Inequality / 28.：

Notes and Remarks

Preface

Introduction

The Sequence of Prime Numbers / 1.：

Traversing Nets of Curves / 2.：

Some Maximum Problems / 3.：

Incommensurable Segments and Irrational Numbers / 4.：

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