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Home » Engineering » Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Free PDF

Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Free PDF

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Engineering
Friday, December 6, 2013

Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Hardcover

Author: Visit Amazon's Glen Van Brummelen Page | Language: English | ISBN: 0691148929 | Format: PDF, EPUB

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Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Free PDF
Download Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Free PDF from 4shared, mediafire, hotfile, and mirror link

Review


One of Choice's Outstanding Academic Titles for 2013



Shortlisted for the 2013 BSHM Neumann Book Prize, British Society for the History of Mathematics


"The present book is very well written; it leaves a clear impression that the author intended to endear--not merely present and teach--spherical trigonometry to the reader. Although not a history book, there are separate chapters shedding light on the approaches to the subject in the ancient, medieval, and modern times. There are also chapters on spherical geometry, polyhedra, stereographic projection and the art of navigation. The book is thoroughly illustrated and is a pleasant read. Chapters end with exercises; the appendices contain a long list of available and not so available textbooks and recommendations for further reading organized by individual chapters. The book made a valuable addition to my library. I freely recommend it to math teachers and curious high schoolers."--Alexander Bogomolny, CTK Insights



"A no-nonsense introduction to spherical trigonometry."--
Book News, Inc.



"A beautiful popular book."--
ThatsMaths.com



"Full of academic, textbook content, the book is a delight to math students. So if you are game for a journey into the world of spherical trigonometry, pick up the book. Van Brummelen gives exercises at the end of the chapters that can be fun."--R. Balashankar, Organiser



"Heavenly Mathematics is a truly enjoyable description of the somewhat forgotten science of spherical trigonometry. . . . Van Brummelen's book invites readers to consider trigonometry in more than two dimensions, making it a useful supplement to a college geometry or trigonometry class."--
Choice



"Heavenly Mathematics proves the value of bringing a fascinating piece of mathematical history within the grasp of the general reader."--Florin Diacu, Literary Review of Canada



"Glen van Brummelen has written a wonderful introduction to the forgotten subject of spherical trigonometry that draws on the history of the subject to illuminate the mathematics itself and at the same time gives readers a real sense of what research in the history of early mathematics is all about. He has succeeded in writing a book that is not intended for historians of science, but which historians of science will find little to complain about and indeed will surely enjoy reading. The book itself is handsomely produced with dozens of attractive illustrations and sold at an affordable price. If spherical trigonometry is ever to become a widely known subject again, this book will surely have played a major role in rescuing it from obscurity."--John M. Steele, Metascience



"This book is an excellent survey of spherical trigonometry, discussing and explaining many historic and modern applications in detail and giving full proofs for all theorems. The author has found the right conversational style for a very broad audience, like high school students and teachers of mathematics and amateur historians, who might also skip the proofs. A series of figures from old textbooks and photographs of historical teaching aids make the book very appealing."--Martin Funk, Mathematical Reviews



"This is a lovely book to read. I gained a great deal of satisfaction from working through the proofs and constructions, not least because the author has succeeded in convincing me that spherical trigonometry is not as hard as I once thought it was. The style and level of the book are definitely suited to those secondary school pupils who are prepared to follow the technical details, and perhaps try their hand at the very many exercises that are included. More generally, however, the book would provide a wonderful introduction for anyone who wishes to learn more about this subject. Having read the book, I am in full agreement with the author that spherical trigonometry ought to be brought to a wider audience, and I believe that this is the book to do it."--Christopher Hollings, Mathematics Today



"The author's style is engaging, clear, and not overly technical; you can safely lend this book to your friends in the history department. . . . [T]he book is excellent, and would be suited to a wide readership. Libraries (school and university) should give it serious consideration, and it is reasonably priced for private purchase."--Robert Dawson, Zentralblatt MATH

From the Inside Flap


"Heavenly Mathematics is heavenly, is mathematics, and is so much more: history, astronomy, geography, and navigation replete with historical illustrations, elegant diagrams, and charming anecdotes. I haven't followed mathematical proofs with such delight in decades. If, as the author laments, spherical trigonometry was in danger of extinction, this book will give it a long-lasting reprieve."--David J. Helfand, president of the American Astronomical Society


"This beautifully written book on an unusual topic, with its wealth of historical information about astronomy, navigation, and mathematics, is greatly to be welcomed."--Robin Wilson, president of the British Society for the History of Mathematics, author of Four Colors Suffice: How the Map Problem Was Solved


"Written by the leading expert on the subject, this engaging book provides an in-depth historical introduction to spherical trigonometry. Heavenly Mathematics breathes new and interesting life into a topic that has been slumbering for far too long."--June Barrow-Green, associate editor of The Princeton Companion to Mathematics


"Heavenly Mathematics is a very good book. It offers an interesting, accessible, and entertaining introduction to spherical trigonometry, which used to be a standard school topic but is now rarely studied. Interesting stories, engaging illustrations, and practical examples come together to enhance the reader's pleasure and understanding."--Fernando Q. Gouvêa, Colby College


"Van Brummelen provides not only a wonderful historical treatment of spherical trigonometry but also a modern one that shows how the ancient and medieval methods were replaced by newer and simpler means of problem solving. Many students will find this a fascinating and worthwhile subject."--Victor J. Katz, editor of The Mathematics of Egypt, Mesopotamia, China, India, and Islam


See all Editorial Reviews

Download latest books on mediafire and other links compilation Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Hardcover Free PDF
  • Hardcover: 216 pages
  • Publisher: Princeton University Press; 1st Ed. edition (December 23, 2012)
  • Language: English
  • ISBN-10: 0691148929
  • ISBN-13: 978-0691148922
  • Product Dimensions: 9.3 x 6.3 x 1 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
The author is so wonderfully entranced and entrancing with this "lost art" that he kindof misses the fact that some of the "old" arts like quaternions (revolving around a world centered on the square root of negative 1 instead of 1!), triangular polygons on surfaces, Napier's pentagon, etc. are being reborn today in the art and craft of modeling, game programming, simulation, digital art and computer graphics (eg. Maya, ZBrush).

Sure, there are now algorithms and calculus functions that "eclipse" the ancient navigational methods, not to mention GPS, but no self respecting GIS teacher can ignore Spherical Trig even today! Wolfram in particular has spent a lot of time tinkering with Java and other applets in spherical trig, and many GIS (Geographical Information Systems) teachers I know will LOVE this text.

This book is really about the beauty of mathematics, and in a Platonic sense, the translation of angular dimensions and fractals into the "real spherical" world not only of planets and stars, but more recently, molecules and RNA folding. If you're a math amateur, you'll love the beauty, and the trig is doable with a little review. If you're a pro, you might just find relationships that newer methods have obscured, but give you many "aha" moments about limits and even hyper modern applications like inverse kinematics, joints and robotics that often have to translate angular into circular momentum and are full of what we'd call trig functions and ODE's today. You'll love this whether you're doing robotics, or working on prosthetic limbs, as well as the more obvious celestial and navigational applications.

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https://just-avto.kiev.ua
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