Trigonometric Delights

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Author: Eli Maor

Publisher: Princeton University Press

ISBN: 1400846757

Category: Mathematics

Page: 256

View: 3979

Trigonometry has always been an underappreciated branch 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.

Alex im Wunderland der Zahlen

Eine Reise durch die aufregende Welt der Mathematik

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Author: Alex Bellos

Publisher: eBook Berlin Verlag

ISBN: 3827078083

Category: Mathematics

Page: 480

View: 5280

Erinnern wir uns nicht alle mit Schrecken an die ratlosen Momente vor der Tafel im Matheunterricht? Mit Kurvendiskussionen und Dreisatz dürften jedenfalls nur wenige Spaß und Spannung verbinden... Bis jetzt! Denn nun wagt sich Alex Bellos in den Kaninchenbau der Mathematik: in das Reich von Geometrie und Algebra, von Wahrscheinlichkeitsrechnung, Statistik und logischen Paradoxa. Auf der anderen Seite des Erdballs, am Amazonas, zählen die Mitglieder des Indianerstammes der Munduruku nur bis fünf und halten die Vorstellung, dass dies nicht genügen solle, für reichlich lächerlich. Bei uns in Deutschland dagegen finden jährlich die Meisterschaften der besten Kopfrechner der Welt statt - 2010 wurde in Magdeburg eine elfjährige Inderin zur Nummer eins unter den "Mathleten" gekürt. Die Mathe-Weltmeisterin unter den Tieren ist hingegen die Schimpansin Ai, die Alex Bellos im japanischen Inuyama aufspürt und über deren Rechenkünste er nur staunen kann. Auch wenn er von den bahnbrechenden Überlegungen Euklids erzählt oder erklärt, warum man in Japan seine Visitenkarten keinesfalls zu Dodekaedern falten sollte - Bellos führt uns durch das wahrhaft erstaunliche Reich der Zahlen und bringt uns eine komplexe Wissenschaft spielerisch nahe. Mit seiner Mischung aus spannender Reportage, Wissenschaftsgeschichte und mathematischen Kabinettstückchen erbringt er souverän den Beweis, dass die Gleichung Mathematik = Langeweile eindeutig nicht wahr ist. Quod erat demonstrandum.

The Mathematics of the Heavens and the Earth

The Early History of Trigonometry

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Author: Glen Van Brummelen

Publisher: Princeton University Press

ISBN: 9780691129730

Category: Mathematics

Page: 329

View: 9116

"There does not seem to have been a book-length history of trigonometry in English before this fine book. Van Brummelen takes us from the unnamed Egyptians and Babylonians who created trigonometry to the subject's first few centuries in Europe. In between, he deftly traces how it was studied by the astronomers Hipparchus and Ptolemy in classical Greece, and later by a host of scholars in India and the Islamic world."--John H. Conway, coauthor of "The Book of Numbers" "This book is the first detailed history of trigonometry in more than half a century, and it far surpasses any earlier attempts. "The Mathematics of the Heavens and the Earth" is an extremely important contribution to scholarship. It will be the definitive history of trigonometry for years to come. There is nothing like this out there."--Victor J. Katz, professor emeritus, University of the District of Columbia "A pleasure to read. "The Mathematics of the Heavens and the Earth" is destined to become the standard reference on the history of trigonometry for the foreseeable future. Although other authors have attempted to tell the story, I know of no other book that has either the breadth or the depth of this one. Van Brummelen is one of the leading experts in the world on this subject."--Dennis Duke, Florida State University "Van Brummelen presents a history of trigonometry from the earliest times to the end of the sixteenth century. He has produced a work that rises to the highest standards of scholarship but never strays into pedantry. His extensive bibliography cites every work of consequence for the history of trigonometry, copious footnotes and diagrams illuminate the text, and reproductions from old printed works add interest and texture to the narrative."--J. Lennart Berggren, professor emeritus, Simon Fraser University "This book presents, for the first time in more than a century, a concise history of plane and spherical trigonometry, an important field within applied mathematics. It will appeal to a wide audience thanks to the pleasant style in which it is written, but at the same time it adheres to a very high scholarly standard."--Benno van Dalen, Ludwig Maximilians University, Munich

An Equation for Every Occasion

Fifty-Two Formulas and Why They Matter

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Author: John M. Henshaw

Publisher: JHU Press

ISBN: 1421414929

Category: Mathematics

Page: 200

View: 3740

With this fun romp through the world of equations we encounter in our everyday lives, you’ll find yourself flipping through the stories of fifty-two formulas faster than a deck of cards. John M. Henshaw’s intriguing true accounts, each inspired by a different mathematical equation, are both succinct and easy to read. His tales come from the spheres of sports, business, history, the arts, science, and technology. Anecdotes about famous equations, like E=mc 2, appear alongside tales of not-so-famous—but equally fascinating—equations, such as the one used to determine the SPF number for sunscreen. Drawn from the breadth of human endeavor, Henshaw's stories demonstrate the power and utility of math. He entertains us by exploring the ways that equations can be used to explain, among other things, Ponzi schemes, the placebo effect, "dog years," IQ, the wave mechanics of tsunamis, the troubled modern beekeeping industry, and the Challenger disaster. Smartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.

Fourier Series

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Author: Rajendra Bhatia

Publisher: MAA

ISBN: 9780883857403

Category: Mathematics

Page: 120

View: 4042

This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, or to supplement undergraduate courses on mathematical analysis. Beginning with a brief summary of the rich history of the subject over three centuries, the reader will appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity, and convergence. The abstract theory then provides unforeseen applications in diverse areas. Exercises of varying difficulty are included throughout to test understanding. A broad range of applications are also covered, and directions for further reading and research are provided, along with a chapter that provides material at a more advanced level suitable for graduate students.

Unvergängliche Geometrie

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Author: H.S. Coxeter

Publisher: Springer-Verlag

ISBN: 3034851510

Category: Juvenile Nonfiction

Page: 558

View: 8968

Erwachende Wissenschaft

Ägyptische, babylonische und griechische Mathematik

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Author: Bartel Leendert Waerden

Publisher: N.A

ISBN: N.A

Category: Astronomy, Assyro-Babylonian

Page: 488

View: 6295

Divine proportions

rational trigonometry to universal geometry

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Author: N.J. Wildberger,Norman John Wildberger

Publisher: N.A

ISBN: 9780975749203

Category: Mathematics

Page: 300

View: 9724

"... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.

Science and Its Times: 700-1449

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Author: Neil Schlager,Josh Lauer

Publisher: Gale / Cengage Learning

ISBN: 9780787639341

Category: Science

Page: 448

View: 9447

Combining essays on people, theories, discoveries and concepts with overviews, primary documents and chronological elements, this reference offers a way to understand the impact of science on the course of human history and how science affects everyday life.

Scientific American Science Desk Reference

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Author: Scientific American

Publisher: Wiley

ISBN: N.A

Category: Science

Page: 704

View: 4650

Who names newly discovered planets? What exactly are black holes? Where are there the most earthquakes? When did the first Homo sapiens walk the earth? Why is the night sky dark? How does the fluoride in toothpaste prevent cavities? Since 1845, Scientific American has answered questions and provided the best information available in all areas of science. Now, Scientific American is proud to present an accessible, one-volume reference covering all the sciences. Whether you want to examine the tiniest microbes, the properties of the earth's core, or the farthest reaches of space, this handy desk reference is the resource to turn to for the answers you need. * Over 500 biographies of key science figures * Thousands of glossary terms * Hundreds of useful Web sites * Tables, charts, diagrams, and illustrations * Sidebars featuring fascinating facts, mnemonic aids, and quizzes * Essays exploring ideas in-depth

Math Through the Ages

A Gentle History for Teachers and Others

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Author: William P. Berlinghoff,Fernando Quadros Gouvêa

Publisher: Oxton House Pub

ISBN: N.A

Category: Mathematics

Page: 216

View: 3266

Om matematikkens historie og hvordan den kan anvendes i matematikundervisningen

Science and its times

understanding the social significance of scientific discovery. 2000 B.C. to A.D. 699. Vol.1

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Author: Neil Schlager,Josh Lauer

Publisher: Gale / Cengage Learning

ISBN: N.A

Category: Science

Page: 429

View: 1592

"This series discusses how the major fields of science developed during specific time periods. Each volume focuses on a range of years and includes developments in exploration, life sciences, mathematics, physical sciences, and technology. When the series is completed, the seven volumes will cover 2000 B.C. to the present."--"Outstanding Reference Sources," American Libraries, May 2001.