Title:
The pleasures of Pi,e and other interesting numbers
Personal Author:
Publication Information:
Singapore : World Scientific Publishing, 2006
ISBN:
9789812700797
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010130175 | QA95 A37 2006 | Open Access Book | Book | Searching... |
Searching... | 30000010132806 | QA95 A37 2006 | Open Access Book | Book | Searching... |
Searching... | 33000000002632 | QA95 A37 2006 | Open Access Book | Gift Book | Searching... |
On Order
Summary
Summary
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.
Table of Contents
| Foreword | p. xiii |
| Foreword | p. xv |
| Preface | p. 1 |
| Acknowledgments | p. xxi |
| I Beauty for the Eye | |
| Infinity and Infinite Series: (Getting acquainted with Big and Small Numbers) | p. 1 |
| [Pi]-series: (The Inexplicable and Elegant Expressions of [Pi]) | p. 23 |
| e-series: (Infinite Series with Sums that change like Magic Putty) | p. 55 |
| Other Interesting Number Series: (Millions of Ways of Adding up to 1) | p. 101 |
| II Feast for the Mind | |
| Easy Proofs: (Even a six-year-old child can understand some of these) | p. 141 |
| Less Easy Proofs: (With occassional "eureka" moments) | p. 177 |
| Not-So-Easy Proofs: (Even Newton, Liebniz and Bernoulli would have loved to see how Euler did it) | p. 209 |
| Appendix | |
| Elementary Trigonometry | p. 235 |
| Elementary Series | p. 237 |
| Elementary Calculus | p. 238 |
