Trigonometry A Very Short Introduction

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Trigonometry
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Author : Glen Van Brummelen
language : en
Publisher: Oxford University Press
Release Date : 2020-01-23
Trigonometry written by Glen Van Brummelen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
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.
Trigonometry A Very Short Introduction
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Author : Glen Van Brummelen
language : en
Publisher: Oxford University Press
Release Date : 2020-01-23
Trigonometry A Very Short Introduction written by Glen Van Brummelen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
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.
Philosophy Of Science A Very Short Introduction
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Author : Samir Okasha
language : en
Publisher: Oxford Paperbacks
Release Date : 2002-05-30
Philosophy Of Science A Very Short Introduction written by Samir Okasha and has been published by Oxford Paperbacks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-30 with Philosophy categories.
This Very Short Introduction provides a concise overview of the main themes of contemporary philosophy of science. After a short history, the author goes on to investigate the nature of scientific reasoning, scientific explanation and more.
Measurement A Very Short Introduction
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Author : David J. Hand
language : en
Publisher: Oxford University Press
Release Date : 2016-09-29
Measurement A Very Short Introduction written by David J. Hand and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-29 with Mathematics categories.
Measurement is a fundamental concept that underpins almost every aspect of the modern world. It is central to the sciences, social sciences, medicine, and economics, but it affects everyday life. We measure everything - from the distance of far-off galaxies to the temperature of the air, levels of risk, political majorities, taxes, blood pressure, IQ, and weight. The history of measurement goes back to the ancient world, and its story has been one of gradual standardization. Today there are different types of measurement, levels of accuracy, and systems of units, applied in different contexts. Measurement involves notions of variability, accuracy, reliability, and error, and challenges such as the measurement of extreme values. In this Very Short Introduction, David Hand explains the common mathematical framework underlying all measurement, the main approaches to measurement, and the challenges involved. Following a brief historical account of measurement, he discusses measurement as used in the physical sciences and engineering, the life sciences and medicine, the social and behavioural sciences, economics, business, and public policy. 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.
Philosophy Of Science Very Short Introduction
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Author : Samir Okasha
language : en
Publisher: Oxford University Press
Release Date : 2016-07-21
Philosophy Of Science Very Short Introduction written by Samir Okasha and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-21 with Science categories.
How much faith should we place in what scientists tell us? Is it possible for scientific knowledge to be fully 'objective'? What, really, can be defined as science? In the second edition of this Very Short Introduction, Samir Okasha explores the main themes and theories of contemporary philosophy of science, and investigates fascinating, challenging questions such as these. Starting at the very beginning, with a concise overview of the history of science, Okasha examines the nature of fundamental practices such as reasoning, causation, and explanation. Looking at scientific revolutions and the issue of scientific change, he asks whether there is a discernible pattern to the way scientific ideas change over time, and discusses realist versus anti-realist attitudes towards science. He finishes by considering science today, and the social and ethical philosophical questions surrounding modern science. 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.
Memory A Very Short Introduction
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Author : Jonathan K. Foster
language : en
Publisher: Oxford University Press
Release Date : 2009
Memory A Very Short Introduction written by Jonathan K. Foster and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Medical categories.
"Why can we sometimes remember events from our childhood as if they happened yesterday, but not what we did last week? How are memories stored in the brain, and how does our memory change as we age? What happens when our memory goes wrong, and how easy is it for others to manipulate our memories?" "This fascinating Very Short Introduction brings together the latest research in psychology and neuroscience to address these and many other important questions about the science of memory - revealing how our memory works, why we couldn't live without it, and even how we may learn to remember more."--BOOK JACKET.
The Renaissance A Very Short Introduction
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Author : Jerry Brotton
language : en
Publisher: Oxford University Press, USA
Release Date : 2006-04-27
The Renaissance A Very Short Introduction written by Jerry Brotton and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-27 with Art categories.
Exploring the Renaissance as a time of unprecedented intellectual excitement & cultural experimentation & interaction on a global scale, this book guides the reader through the key issues that defined the period, from art, architecture, & literature, to the advances in science, trade & travel.
The History Of Physics A Very Short Introduction
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Author : J. L. Heilbron
language : en
Publisher: Oxford University Press
Release Date : 2018-01-18
The History Of Physics A Very Short Introduction written by J. L. Heilbron and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with Science categories.
How does the physics we know today - a highly professionalised enterprise, inextricably linked to government and industry - link back to its origins as a liberal art in Ancient Greece? What is the path that leads from the old philosophy of nature and its concern with humankind's place in the universe to modern massive international projects that hunt down fundamental particles and industrial laboratories that manufacture marvels? This Very Short Introduction introduces us to Islamic astronomers and mathematicians calculating the size of the earth whilst their caliphs conquered much of it; to medieval scholar-theologians investigating light; to Galileo, Copernicus, Kepler, and Newton, measuring, and trying to explain, the universe. We visit the 'House of Wisdom' in 9th-century Baghdad; Europe's first universities; the courts of the Renaissance; the Scientific Revolution and the academies of the 18th century; and the increasingly specialised world of 20th and 21st century science. Highlighting the shifting relationship between physics, philosophy, mathematics, and technology - and the implications for humankind's self-understanding - Heilbron explores the changing place and purpose of physics in the cultures and societies that have nurtured it over the centuries. 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.
Navigation A Very Short Introduction
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Author : Jim Bennett
language : en
Publisher: Oxford University Press
Release Date : 2017-02-10
Navigation A Very Short Introduction written by Jim Bennett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-10 with History categories.
From the Bronze Age mariners of the Mediterranean to contemporary sailors using satellite-based technologies, the history of navigation at sea, the art of finding a position and setting a course, is fascinating. The scientific and technological developments that have enabled accurate measurements of position were central to exploration, trade, and the opening up of new continents, and the resulting journeys taken under their influence have had a profound influence on world history. In this Very Short Introduction Jim Bennett looks at the history of navigation, starting with the distinctive cultures of navigation that are defined geographically - the Mediterranean Sea, and the Pacific, Indian, and Atlantic Oceans. He shows how the adoption of mathematical methods, the use of instruments, the writing of textbooks and the publication of charts all combined to create a more standardised practice. Methods such as longitude-finding by chronometer and lunar distance were complemented by the routine business of recording courses and reckoning position 'by account'. Bennett also introduces the incredible array of instruments relied on by sailors, from astrolabes, sextants, and chronometers, to our more modern radio receivers, electronic equipment, and charts, and highlights the crucial role played by the individual qualities of endeavour and resourcefulness from mathematicians, scientists, and seamen in finding their way at sea. The story of navigation combines the societal, the technical, and the human, and it was vital for shaping the modern world. 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.
Routledge Handbook On The Sciences In Islamicate Societies
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Author : Sonja Brentjes
language : en
Publisher: Taylor & Francis
Release Date : 2023-01-24
Routledge Handbook On The Sciences In Islamicate Societies written by Sonja Brentjes and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-24 with History categories.
The Routledge Handbook on the Sciences in Islamicate Societies provides a comprehensive survey on science in the Islamic world from the 8th to the 19th century. Across six sections, a group of subject experts discuss and analyze scientific practices across a wide range of Islamicate societies. The authors take into consideration several contexts in which science was practiced, ranging from intellectual traditions and persuasions to institutions, such as courts, schools, hospitals, and observatories, to the materiality of scientific practices, including the arts and craftsmanship. Chapters also devote attention to scientific practices of minority communities in Muslim majority societies, and Muslim minority groups in societies outside the Islamicate world, thereby allowing readers to better understand the opportunities and constraints of scientific practices under varying local conditions. Through replacing Islam with Islamicate societies, the book opens up ways to explain similarities and differences between diverse societies ruled by Muslim dynasties. This handbook will be an invaluable resource for both established academics and students looking for an introduction to the field. It will appeal to those involved in the study of the history of science, the history of ideas, intellectual history, social or cultural history, Islamic studies, Middle East and African studies including history, and studies of Muslim communities in Europe and South and East Asia.