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Trigonometric Delights von Eli Maor
by Eli Maor | PB | LikeNew
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eBay-Artikelnr.:376411893867
Artikelmerkmale
- Artikelzustand
- Neuwertig
- Hinweise des Verkäufers
- Binding
- Paperback
- Book Title
- Trigonometric Delights
- Weight
- 0 lbs
- Product Group
- Book
- IsTextBook
- Yes
- ISBN
- 9780691095417
Über dieses Produkt
Product Identifiers
Publisher
Princeton University Press
ISBN-10
0691095418
ISBN-13
9780691095417
eBay Product ID (ePID)
2318033
Product Key Features
Number of Pages
256 Pages
Publication Name
Trigonometric Delights
Language
English
Publication Year
2002
Subject
History & Philosophy, Trigonometry
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
1.6 in
Item Weight
13 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Trade
Dewey Edition
21
Reviews
Maor's presentation of the historical development of the concepts and results deepens one's appreciation of them, and his discussion of the personalities involved and their politics and religions puts a human face on the subject. His exposition of mathematical arguments is thorough and remarkably easy to understand. There is a lot of material here that teachers can use to keep their students awake and interested. In short, Trigonometric Delights should be required reading for everyone who teaches trigonometry and can be highly recommended for anyone who uses it. -- George H. Swift, American Mathematics Monthly, Maor's presentation of the historical development of the concepts and results deepens one's appreciation of them, and his discussion of the personalities involved and their politics and religions puts a human face on the subject. His exposition of mathematical arguments is thorough and remarkably easy to understand. There is a lot of material here that teachers can use to keep their students awake and interested. In short, Trigonometric Delights should be required reading for everyone who teaches trigonometry and can be highly recommended for anyone who uses it., "Maor's presentation of the historical development of the concepts and results deepens one's appreciation of them, and his discussion of the personalities involved and their politics and religions puts a human face on the subject. His exposition of mathematical arguments is thorough and remarkably easy to understand. There is a lot of material here that teachers can use to keep their students awake and interested. In short, Trigonometric Delights should be required reading for everyone who teaches trigonometry and can be highly recommended for anyone who uses it."-- George H. Swift, American Mathematics Monthly, Maor's presentation of the historical development of the concepts and results deepens one's appreciation of them, and his discussion of the personalities involved and their politics and religions puts a human face on the subject. His exposition of mathematical arguments is thorough and remarkably easy to understand. There is a lot of material here that teachers can use to keep their students awake and interested. In short,Trigonometric Delightsshould be required reading for everyone who teaches trigonometry and can be highly recommended for anyone who uses it. -- George H. Swift, American Mathematics Monthly
Illustrated
Yes
Dewey Decimal
516.24/2
Original Language
English
Table Of Content
Preface Prologue: Ahmes the Scribe, 1650 B.C. 3 Recreational Mathematics in Ancient Egypt 11 1 Angles 15 2 Chords 20 Plimpton 322: The Earliest Trigonometric Table? 30 3 Six Functions Come of Age 35 Johann Muller alias Regiomonianus 41 4 Trigonometry Becomes Analytic 50 Francois Viete 56 5 Measuring Heaven and Earth 63 Abraham De Moivre 80 6 Two Theorems from Geometry 87 7 Epicycloids and Hypocycloids 95 Maria Agnesi and Her "Witch" 108 8 Variations on a Theme by Gauss 112 9 Had Zeno Only Known This! 117 10 (sin x) / x 129 11 A Remarkable Formula 139 Jules Lissajous and His Figures 145 12 tan x 150 13 A Mapmaker's Paradise 165 14 sin x = 2: Imaginary Trigonometry 181 Edmund Landau: The Master Rigorist 192 15 Fourier's Theorem 198 Appendixes 211 1 Let's Revive an Old Idea 213 2 Barrow's Integration of sec [phi] 218 3 Some Trigonometric Gems 220 4 Some Special Values of sin [alpha] 222 Bibliography 225 Credits for Illustrations 229 Index 231
Synopsis
Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the titleTrigonometric Delights. Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles. Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection.Trigonometric Delightswill change forever our view of a once dreaded subject., Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights. Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles. Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.
LC Classification Number
QA531.M394 1998
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99% positive Bewertungen•19.9 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (5'793'747)
Dieser Artikel (1)
Alle Artikel (5'793'747)
- c***o (468)- Bewertung vom Käufer.Letzter MonatBestätigter KaufGreat seller, fast shipping, smooth transaction, A+
- eBay automated Feedback- Bewertung vom Käufer.Letzter MonatOrder completed successfully – tracked and on time
- b***o (334)- Bewertung vom Käufer.Letzter MonatBestätigter KaufArrived quickly and in great condition. Thank you!
- e***e (408)- Bewertung vom Käufer.Letzter MonatBestätigter KaufBook like new , better in person, quick delivery