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Trigonometry (Mathematics)
A Very Short Introduction | Mathematics
Trigonometry
ISBN: 9780198814313
Series: A Very Short Introduction
Trigonometry (Mathematics)
A Very Short Introduction Trigonometry (Mathematics) Media > Books > Non-Fiction > Education Books Expect Delays of Up to 4 Weeks
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ISBN
9780198814313 (10-digit ISBN: 0198814313)
- Description
- Key Features
- Series Description
- Table of Contents
- Draws together the full history of trigonometry, stretching across two millennia and several cultures
- Introduces the key concepts of trigonometry, drawing readers beyond the basic relationships first encountered in school to ideas such as curved space
- Explores connections with genuine modern applications, including navigation, the analysis of music, and computer graphics
- Shows how trigonometry has participated in big questions about the world, including the shape of the universe and the nature of infinity
Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars".In this Very Short Introduction Glen Van Brummelen shows how trigonometry connects mathematics to science, and has today become an indispensable tool in predicting cyclic patterns like animal populations and ocean tides. Its historical journey through major cultures such as medieval India and the Islamic World has taken it through disciplines such as geography and even religious practice. Trigonometry has also been a major player in the most startling mathematical developments of the modern world. Its interactions with the concept of infinity led to Taylor and Fourier series, some of the most practical tools of modern science. The birth of complex numbers led to a shocking union of exponential and trigonometric functions, creating the most beautiful formulas and powerful modelling tools in science. Finally, as Van Brummelen shows, trigonometry allows us to explore the strange new worlds of non-Euclidean geometries, opening up bizarre possibilities for the shape of space itself. And indeed, one of those new geometries - spherical - takes us full circle back to ancient Greek astronomers and European navigators, who first used it to chart their ways across the heavens and the earth.
Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible.
Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library.
Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.
Please note: As this series is not ELT material, these titles are not subject to discount.
1: Why?
2: Sines, Cosines and their Relatives
3: Building a Sine Table with Your Bare Hands: The Basic Identities
4: Identities, and More Identities
5: To Infinity...
6: ...And Beyond, to Complex Things
7: Spheres and More
Further Reading
Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars".In this Very Short Introduction Glen Van Brummelen shows how trigonometry connects mathematics to science, and has today become an indispensable tool in predicting cyclic patterns like animal populations and ocean tides. Its historical journey through major cultures such as medieval India and the Islamic World has taken it through disciplines such as geography and even religious practice. Trigonometry has also been a major player in the most startling mathematical developments of the modern world. Its interactions with the concept of infinity led to Taylor and Fourier series, some of the most practical tools of modern science. The birth of complex numbers led to a shocking union of exponential and trigonometric functions, creating the most beautiful formulas and powerful modelling tools in science. Finally, as Van Brummelen shows, trigonometry allows us to explore the strange new worlds of non-Euclidean geometries, opening up bizarre possibilities for the shape of space itself. And indeed, one of those new geometries - spherical - takes us full circle back to ancient Greek astronomers and European navigators, who first used it to chart their ways across the heavens and the earth.
Key Features
- Draws together the full history of trigonometry, stretching across two millennia and several cultures
- Introduces the key concepts of trigonometry, drawing readers beyond the basic relationships first encountered in school to ideas such as curved space
- Explores connections with genuine modern applications, including navigation, the analysis of music, and computer graphics
- Shows how trigonometry has participated in big questions about the world, including the shape of the universe and the nature of infinity
Series Description
Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible.
Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library.
Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.
Please note: As this series is not ELT material, these titles are not subject to discount.
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