E And Other Interesting Numbers Pleasures Of Pi

by Adrian Ning Hong Yeo

Overview

This is a mathematics book written specifically for the enjoyment of non-mathematicians and those who “hated math in school.” The book is organized into two sections: (I) Beauty for the Eye (shallow water for the non-swimmer); and (II) A Feast for the Mind (slowly getting deeper for the more adventurous).The author covers beautiful infinite series beginning with those that a young child can understand to one that even Isaac Newton, Gottfried Liebniz and the famous Bernoulli brothers could not sum.

Product Details

ISBN-13:	9789812700780
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	11/01/2006
Pages:	268
Product dimensions:	6.20(w) x 9.00(h) x 0.80(d)

Table of Contents

Foreword   Professor Shih Choon Fong     xiii
Foreword   Professor Cham Tao Soon     xv
Preface     1
Acknowledgments     xxi
Beauty for the Eye
Infinity and Infinite Series: (Getting acquainted with Big and Small Numbers)     1
[Pi]-series: (The Inexplicable and Elegant Expressions of [Pi])     23
e-series: (Infinite Series with Sums that change like Magic Putty)     55
Other Interesting Number Series: (Millions of Ways of Adding up to 1)     101
Feast for the Mind
Easy Proofs: (Even a six-year-old child can understand some of these)     141
Less Easy Proofs: (With occassional "eureka" moments)     177
Not-So-Easy Proofs: (Even Newton, Liebniz and Bernoulli would have loved to see how Euler did it)     209
Appendix
Elementary Trigonometry     235
Elementary Series     237
Elementary Calculus     238