John Napier: Life, Logarithms, and Legacy

John Napier: Life, Logarithms, and Legacy

by Julian Havil
John Napier: Life, Logarithms, and Legacy

John Napier: Life, Logarithms, and Legacy

by Julian Havil

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Overview

The most comprehensive account of the mathematician's life and work

John Napier (1550–1617) is celebrated today as the man who invented logarithms—an enormous intellectual achievement that would soon lead to the development of their mechanical equivalent in the slide rule: the two would serve humanity as the principal means of calculation until the mid-1970s. Yet, despite Napier's pioneering efforts, his life and work have not attracted detailed modern scrutiny. John Napier is the first contemporary biography to take an in-depth look at the multiple facets of Napier’s story: his privileged position as the eighth Laird of Merchiston and the son of influential Scottish landowners; his reputation as a magician who dabbled in alchemy; his interest in agriculture; his involvement with a notorious outlaw; his staunch anti-Catholic beliefs; his interactions with such peers as Henry Briggs, Johannes Kepler, and Tycho Brahe; and, most notably, his estimable mathematical legacy.

Julian Havil explores Napier’s original development of logarithms, the motivations for his approach, and the reasons behind certain adjustments to them. Napier’s inventive mathematical ideas also include formulas for solving spherical triangles, "Napier’s Bones" (a more basic but extremely popular alternative device for calculation), and the use of decimal notation for fractions and binary arithmetic. Havil also considers Napier’s study of the Book of Revelation, which led to his prediction of the Apocalypse in his first book, A Plaine Discovery of the Whole Revelation of St. John—the work for which Napier believed he would be most remembered.

John Napier assesses one man’s life and the lasting influence of his advancements on the mathematical sciences and beyond.


Product Details

ISBN-13: 9780691155708
Publisher: Princeton University Press
Publication date: 10/05/2014
Pages: 296
Product dimensions: 6.40(w) x 9.30(h) x 1.00(d)

About the Author

Julian Havil is the author of Gamma: Exploring Euler's Constant, Nonplussed!: Mathematical Proof of Implausible Ideas, Impossible?: Surprising Solutions to Counterintuitive Conundrums, and The Irrationals: A Story of the Numbers You Can't Count On (all Princeton). He is a retired former master at Winchester College, England, where he taught mathematics for more than three decades.

Table of Contents

Acknowledgments xv

Introduction 1

Chapter One Life and Lineage 8

Chapter Two Revelation and Recognition 35

Chapter Three A New Tool for Calculation 62

Chapter Four Constructing the Canon 96

Chapter Five Analogue and Digital Computers 131

Chapter Six Logistics: The Art of Computing Well 155

Chapter Seven Legacy 179

Epilogue 207

Appendix A Napier's Works 209

Appendix B The Scottish Science Hall of Fame 210

Appendix C Scotland and Conflict 211

Appendix D Scotland and Reformation 216

Appendix E A Stroll Down Memory Lane 220

Appendix F Methods of Multiplying 229

Appendix G Amending Napier's Kinematic Model 232

Appendix H Napier's Inequalities 233

Appendix I Hos Ego Versiculos Feci 236

Appendix J The Rule of Three 238

Appendix K Mercator's Map 250

Appendix L The Swiss Claimant 264

References 270

Index 275

What People are Saying About This

From the Publisher

"Havil is an enthusiastic and engaging writer—he brings to life John Napier's original work and gives an account of his mathematical ideas. Readers will gain an appreciation for Napier's brilliance and for an era when scientific computation was still in its infancy. It's about time someone wrote a book on this subject for a general audience."—Glen Van Brummelen, author of Heavenly Mathematics

"Offering a thorough look into Napier's contributions, family lineage, and life, this effectively organized book will be most useful to general readers and those with interests in Napier the man, the Reformation, early seventeenth-century mathematics, and Napier's influence on logarithms and scientific developments of the time."—Kathy Clark, Florida State University

"Havil has crafted a complete biography of John Napier, including detailed explanations of his mathematical creations, all in the proper historical context. Readers will gain a deep understanding of the background and uses of the logarithm, as well as the significance of Napier's achievement."—Paul C. Pasles, author of Benjamin Franklin's Numbers

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