Search results for: trigonometry-a-very-short-introduction

Trigonometry a Very Short Introduction

Author : Glen Van Brummelen
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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

Author : Samir Okasha
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This Very Short Introduction provides a concise overview of the main themes of contemporary philosophy of science. Beginning with a short history of science to set the scene, Samir Okasha goes on to investigate the nature of scientific reasoning, scientific explanation, revolutions in science, and theories such as realism and anti-realism. He also looks at philosophical issues in particular sciences.

Measurement A Very Short Introduction

Author : David J. Hand
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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.

Numbers A Very Short Introduction

Author : Peter M. Higgins
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In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.

Memory A Very Short Introduction

Author : Jonathan K. Foster
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Why do we remember events from our childhood as if they happened yesterday, but not what we did last week? Why does our memory seem to work well sometimes and not others? What happens when it goes wrong? Can memory be improved or manipulated, by psychological techniques or even 'brain implants'? How does memory grow and change as we age? And what of so-called 'recovered' memories? This book brings together the latest research in neuroscience and psychology, and weaves in case-studies, anecdotes, and even literature and philosophy, to address these and many other important questions about the science of memory - how it works, and why we can't live without it. 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.

Symmetry A Very Short Introduction

Author : Ian Stewart
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In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. 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.

Geometry

Author : Steve Slavin
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Learn geometry at your own pace What are congruent circles? How do you find the hypotenuse of atriangle? What is the sum of the angles in a decagon? How can youapply geometric equations to your daily life? With the unbeatablestudy companion Geometry: A Self-Teaching Guide, you'll discoverthe answers to these questions and many more. This thorough primer presents an easy-to-follow, proven method forgrasping the key concepts of geometry. You'll progress step by stepthrough plane, solid, and analytic geometry and then move on togeometric applications for calculus. You'll build yourproblem-solving skills along the way through detailed examples,reviews, exercises, and answer explanations. The clearly structuredformat of Geometry makes it fully accessible, providing an easilyunderstood, comprehensive overview for everyone from high schoolstudents to adult learners to math mavens. Like all Self-Teaching Guides, Geometry allows you to buildgradually on what you have learned-at your own pace. Questions andself-tests reinforce the information in each chapter and allow youto skip ahead or focus on specific areas of concern. Packed withuseful, up-to-date information, this clear, concise volume is avaluable learning tool and reference source for anyone who wants toimprove his or her understanding of basic geometry.

Fractals A Very Short Introduction

Author : Kenneth Falconer
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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. 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.

The Renaissance A Very Short Introduction

Author : Jerry Brotton
File Size : 28.14 MB
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More than ever before, the Renaissance stands as one of the defining moments in world history. Between 1400 and 1600, European perceptions of society, culture, politics and even humanity itself emerged in ways that continue to affect not only Europe but the entire world. This wide-ranging exploration of the Renaissance sees the period as a time of unprecedented intellectual excitement and cultural experimentation and interaction on a global scale, alongside a darker side of religion, intolerance, slavery, and massive inequality of wealth and status. It guides the reader through the key issues that defined the period, from its art, architecture, and literature, to advancements in the fields of science, trade, and travel. In its incisive account of the complexities of the political and religious upheavals of the period, the book argues that Europe's reciprocal relationship with its eastern neighbours offers us a timely perspective on the Renaissance that still has much to teach us today. 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.

Elementary Trigonometry

Author : James Hamblin Smith
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An Analysis of Achievement by Selected Superior University of Wisconsin Freshmen with Implications for the Development of Enrichment Materials for High School Mathematics

Author : H. Mason Atwood
File Size : 30.47 MB
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Introduction to Trigonometry

Author : Allyn J. Washington
File Size : 29.56 MB
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Elements of Mathematics Linear algebra and geometry with trigonometry

Author : Comprehensive School Mathematics Program
File Size : 64.40 MB
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Trigonometry for beginners

Author : Isaac Todhunter
File Size : 42.18 MB
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Science Books

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Companion to Concrete Mathematics

Author : Z. A. Melzak
File Size : 71.22 MB
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Queen s Quarterly

Author :
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A Treatise on Trigonometric Series

Author : N. K. Bary
File Size : 55.43 MB
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A Treatise on Trigonometric Series, Volume 1 deals comprehensively with the classical theory of Fourier series. This book presents the investigation of best approximations of functions by trigonometric polynomials. Organized into six chapters, this volume begins with an overview of the fundamental concepts and theorems in the theory of trigonometric series, which play a significant role in mathematics and in many of its applications. This text then explores the properties of the Fourier coefficient function and estimates the rate at which its Fourier coefficients tend to zero. Other chapters consider some tests for the convergence of a Fourier series at a given point. This book discusses as well the conditions under which the series does converge uniformly. The final chapter deals with adjustment of a summable function outside a given perfect set. This book is a valuable resource for advanced students and research workers. Mathematicians will also find this book useful.

A Treatise on Plane and Spherical Trigonometry

Author : Robert Woodhouse
File Size : 82.31 MB
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A treatise on Plane and Spherical Trigonometry

Author : Robert WOODHOUSE (Mathematician)
File Size : 26.51 MB
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