Himmlische Mathematik: Die vergessene Kunst der sphärischen Trigonometrie
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Himmlische Mathematik: Die vergessene Kunst der sphärischen Trigonometrie
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Artikelmerkmale
- Artikelzustand
- Book Title
- Heavenly Mathematics: The Forgotten Art of Spherical Trigonometr
- ISBN
- 9780691148922
Über dieses Produkt
Product Identifiers
Publisher
Princeton University Press
ISBN-10
0691148929
ISBN-13
9780691148922
eBay Product ID (ePID)
117215208
Product Key Features
Number of Pages
208 Pages
Language
English
Publication Name
Heavenly Mathematics : the Forgotten Art of Spherical Trigonometry
Subject
History & Philosophy, Geometry / General, Trigonometry
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
17.8 Oz
Item Length
9.5 in
Item Width
6.5 in
Additional Product Features
Intended Audience
College Audience
LCCN
2012-023216
Reviews
"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, 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, "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, An engaging read that will appeal to historians of science, mathematicians, trigonometry teachers, and anyone interested in the history of mathematics. ---Elizabeth Hamm, Aestimatio Critical Reviews in the History of Science, "Once a mainstay of mathematics, spherical trigonometry no longer appears on school curricula. Here, Glen Van Brummelen reasserts the field's importance, sharing in illuminating detail how it figured in astronomy, cartography and our understanding of Earth's rotation." --Rosalind Metcalfe, Nature, " 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, "This book could serve as an excellent textbook for any secondary school mathematics classroom at or above the level of geometry and certainly trigonometry; as the basis for a high school honors class; or as a textbook and seminar topic for college students." ---Teresa Floyd, Mathematics Teacher, "Any reader of this book (and there should be many) will see how present day mathematics may be viewed through the kaleidoscope of its historical origins. . . . Glen Van Brummelen has written a beautifully produced book that includes fascinating biographical detail at every stage of his narrative." ---P.N. Ruane, Mathematical Gazette, "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, Once a mainstay of mathematics, spherical trigonometry no longer appears on school curricula. Here, Glen Van Brummelen reasserts the field's importance, sharing in illuminating detail how it figured in astronomy, cartography and our understanding of Earth's rotation. ---Rosalind Metcalfe, Nature, " 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, "This book could serve as an excellent textbook for any secondary school mathematics classroom at or above the level of geometry and certainly trigonometry; as the basis for a high school honors class; or as a textbook and seminar topic for college students." --Teresa Floyd, Mathematics Teacher, "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, " 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 will be of interest to mathematically inclined historians of science and also to students of mathematics and engineering. Because spherical trigonometry is relevant in applications of modern science, this elegant book may even contribute to a renaissance of the subject. ---Jan P. Hogendijk, Isis, "Van Brummelen has written a wonderful introduction . . . that draws on the history of [spherical trigonometry] 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." -- Metascience, "In this grand chronicle of the science behind the origins of our 4.6-billion-year-old Solar System, John Chambers and Jacqueline Mitton peruse everything from the giant collision thought to have formed our Moon to the nature of meteorites." --Rosalind Metcalfe, Nature, "[ Heavenly Mathematics ] is a lovely book to read. . . . [A] wonderful introduction for anyone who wishes to learn more about this subject. . . . 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." -- Mathematics Today, 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., "Once a mainstay of mathematics, spherical trigonometry no longer appears on school curricula. Here, Glen Van Brummelen reasserts the field's importance, sharing in illuminating detail how it figured in astronomy, cartography and our understanding of Earth's rotation." ---Rosalind Metcalfe, Nature, "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, "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, "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, " 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, Engaging, clear and not overly technical; you can safely lend this book to your friends in the history department. . . . [ Heavenly Mathematics ] is excellent., "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, "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, [ Heavenly Mathematics ] is an excellent survey of spherical trigonometry. . . . Simply an appreciation of a beautiful lost subject, with historical overtones. . . . [D]istinguishable for its appealingly fresh style., 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, "[ Heavenly Mathematics ] is an excellent survey of spherical trigonometry. . . . Simply an appreciation of a beautiful lost subject, with historical overtones. . . . [D]istinguishable for its appealingly fresh style." -- Mathematical Reviews, "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, "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, This book could serve as an excellent textbook for any secondary school mathematics classroom at or above the level of geometry and certainly trigonometry; as the basis for a high school honors class; or as a textbook and seminar topic for college students. ---Teresa Floyd, Mathematics Teacher, Heavenly Mathematics is a truly enjoyable description of the somewhat forgotten science of spherical trigonometry. . . . As readers discover this discipline, they will also appreciate the beauty inherent in the topic., "An engaging read that will appeal to historians of science, mathematicians, trigonometry teachers, and anyone interested in the history of mathematics." --Elizabeth Hamm, Aestimatio Critical Reviews in the History of Science, 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, "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, [ Heavenly Mathematics ] is a lovely book to read. . . . [A] wonderful introduction for anyone who wishes to learn more about this subject. . . . 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., 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., " 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, "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, Van Brummelen has written a wonderful introduction . . . that draws on the history of [spherical trigonometry] 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., "This book could serve as an excellent textbook for any secondary school mathematics classroom at or above the level of geometry and certainly trigonometry; as the basis for a high school honors class; or as a textbook and seminar topic for college students."-- Teresa Floyd, Mathematics Teacher, "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, One of Choice 's Outstanding Academic Titles for 2013 Shortlisted for the 2013 BSHM Neumann Book Prize, British Society for the History of Mathematics, Heavenly Mathematics is a truly enjoyable description of the somewhat forgotten science of spherical trigonometry. . . . As readers discover this discipline, they will also appreciate the beauty inherent in the topic., "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, Any reader of this book (and there should be many) will see how present day mathematics may be viewed through the kaleidoscope of its historical origins. . . . Glen Van Brummelen has written a beautifully produced book that includes fascinating biographical detail at every stage of his narrative. ---P.N. Ruane, Mathematical Gazette, " Heavenly Mathematics will be of interest to mathematically inclined historians of science and also to students of mathematics and engineering. Because spherical trigonometry is relevant in applications of modern science, this elegant book may even contribute to a renaissance of the subject." ---Jan P. Hogendijk, Isis, " Heavenly Mathematics will be of interest to mathematically inclined historians of science and also to students of mathematics and engineering. Because spherical trigonometry is relevant in applications of modern science, this elegant book may even contribute to a renaissance of the subject." --Jan P. Hogendijk, Isis, "Engaging, clear and not overly technical; you can safely lend this book to your friends in the history department. . . . [ Heavenly Mathematics ] is excellent." -- Zentralblatt MATH, "Any reader of this book (and there should be many) will see how present day mathematics may be viewed through the kaleidoscope of its historical origins. . . . Glen Van Brummelen has written a beautifully produced book that includes fascinating biographical detail at every stage of his narrative." --P.N. Ruane, Mathematical Gazette, " Heavenly Mathematics is a truly enjoyable description of the somewhat forgotten science of spherical trigonometry. . . . As readers discover this discipline, they will also appreciate the beauty inherent in the topic." -- Choice, "An engaging read that will appeal to historians of science, mathematicians, trigonometry teachers, and anyone interested in the history of mathematics." ---Elizabeth Hamm, Aestimatio Critical Reviews in the History of Science, " 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, " 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
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
516.24
Synopsis
Heavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the discipline was also a mainstay of mathematics education for centuries and taught widely until the 1950s. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation of its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams. This unique compendium also features easy-to-use appendixes as well as exercises that originally appeared in textbooks from the eighteenth to the early twentieth centuries., An unparalleled illustrated history of spherical trigonometry from antiquity to today Heavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the discipline was also a mainstay of mathematics education for centuries and taught widely until the 1950s. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation of its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams. This unique compendium also features easy-to-use appendixes as well as exercises that originally appeared in textbooks from the eighteenth to the early twentieth centuries., Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. This title traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth.
LC Classification Number
QA535.V36 2013
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