Trigonometry A Very Short Introduction

RELATIVITY A Very Short Introduction RUSSell Stannard 100 years ago, Einstein's theory of relativity shattered the world of physics. Our comforting Newtonian ideas of space and time were replaced by bizarre and counterintuitive ...

Trigonometry  A Very Short Introduction

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. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

More Books:

Trigonometry: A Very Short Introduction
Language: en
Pages: 152
Authors: Glen Van Brummelen
Categories: Mathematics
Type: BOOK - Published: 2020-01-23 - Publisher: Oxford University Press

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
Time: A Very Short Introduction
Language: en
Pages: 144
Authors: Jenann Ismael
Categories: Science
Type: BOOK - Published: 2021-10-28 - Publisher: Oxford University Press

What is time? What does it mean for time to pass? Is it possible to travel in time? What is the difference between the past and future? Until the work of Newton, these questions were purely topics of philosophical speculation. Since then we've learned a great deal about time, and
Renewable Energy: a Very Short Introduction
Language: en
Pages: 168
Authors: Nick Jelley
Categories: Technology & Engineering
Type: BOOK - Published: 2020-02 - Publisher: Oxford University Press, USA

Energy is vital for a good standard of living, and much of the world's population does not have enough. Affordable and adequate sources of power that do not cause climate change or pollution are crucial; and renewables provide the answer. Wind and solar farms can now provide the cheapest electricity
Geometry: a Very Short Introduction
Language: en
Pages: 144
Authors: Maciej Dunajski
Categories: Geometry
Type: BOOK - Published: 2022-01-27 - Publisher: Oxford University Press

This book provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and non-Euclidean geometries, to curved spaces, and the geometry of space-time inside a black hole, and outlines the role geometry plays in the broader context of science and
Waves: A Very Short Introduction
Language: en
Pages: 144
Authors: Mike Goldsmith
Categories: Science
Type: BOOK - Published: 2018-11-15 - Publisher: Oxford University Press

We live in a world of waves. The Earth shakes to its foundations, the seas and oceans tremble incessantly, sounds reverberate through land, sea, and air. Beneath the skin, our brains and bodies are awash with waves of their own, and the Universe is filled by a vast spectrum of