Trigonometry: a Very Short Introduction

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Publisher : Oxford University Press, USA
ISBN 13 : 0198814313
Total Pages : 193 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Trigonometry: a Very Short Introduction by : Glen Van Brummelen

Download or read book Trigonometry: a Very Short Introduction written by Glen Van Brummelen and published by Oxford University Press, USA. This book was released on 2020-01-23 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Oxford University Press
ISBN 13 : 0192545469
Total Pages : 152 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Trigonometry: A Very Short Introduction by : Glen Van Brummelen

Download or read book Trigonometry: A Very Short Introduction written by Glen Van Brummelen and published by Oxford University Press. This book was released on 2020-01-23 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics: A Very Short Introduction

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Author :
Publisher : Oxford Paperbacks
ISBN 13 : 9780192853615
Total Pages : 172 pages
Book Rating : 4.8/5 (536 download)

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Book Synopsis Mathematics: A Very Short Introduction by : Timothy Gowers

Download or read book Mathematics: A Very Short Introduction written by Timothy Gowers and published by Oxford Paperbacks. This book was released on 2002-08-22 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.

Algebra

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Publisher : Oxford University Press, USA
ISBN 13 : 0198732821
Total Pages : 161 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Algebra by : Peter M. Higgins

Download or read book Algebra written by Peter M. Higgins and published by Oxford University Press, USA. This book was released on 2015 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction invites readers to revisit algebra and appreciate the elegance and power of equations and inequalities. Offering a clear explanation of algebra through theory and example, Higgins shows how equations lead to complex numbers, matrices, groups, rings, and fields.--

Mathematical Analysis

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Publisher : Oxford University Press
ISBN 13 : 019886891X
Total Pages : 225 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Mathematical Analysis by : Richard Earl

Download or read book Mathematical Analysis written by Richard Earl and published by Oxford University Press. This book was released on 2023-06-22 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Short Introductions: Brilliant, sharp, inspiring The 17th-century calculus of Newton and Leibniz was built on shaky foundations, and it wasn't until the 18th and 19th centuries that mathematicians--especially Bolzano, Cauchy, and Weierstrass--began to establish a rigorous basis for the subject. The resulting discipline is now known to mathematicians as analysis. This book, aimed at readers with some grounding in mathematics, describes the nascent evolution of mathematical analysis, its development as a subject in its own right, and its wide-ranging applications in mathematics and science, modelling reality from acoustics to fluid dynamics, from biological systems to 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.

The Doctrine of Triangles

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691179417
Total Pages : 390 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Doctrine of Triangles by : Glen Van Brummelen

Download or read book The Doctrine of Triangles written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-06-08 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.

Trigonometry Refresher

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Publisher : Courier Corporation
ISBN 13 : 0486151042
Total Pages : 640 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Trigonometry Refresher by : A. Albert Klaf

Download or read book Trigonometry Refresher written by A. Albert Klaf and published by Courier Corporation. This book was released on 2011-11-30 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format. Its 913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up difficulties in particular areas. Questions and answers in the first part discuss plane trigonometry, proceeding to examinations of special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. The final section explores spherical trigonometry and the solution of spherical triangles, with applications to terrestrial and astronomical problems. Readers can test their progress with 1,738 problems, many of which feature solutions. 1946 edition. 494 figures.

Heavenly Mathematics

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Publisher : Princeton University Press
ISBN 13 : 0691148929
Total Pages : 218 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Heavenly Mathematics by : Glen Van Brummelen

Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2013 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics 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. 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 for its elegent proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries. -- Jacket.

Calculus: A Complete Introduction

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Author :
Publisher : Teach Yourself
ISBN 13 : 1473678455
Total Pages : 368 pages
Book Rating : 4.4/5 (736 download)

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Book Synopsis Calculus: A Complete Introduction by : Hugh Neill

Download or read book Calculus: A Complete Introduction written by Hugh Neill and published by Teach Yourself. This book was released on 2018-06-07 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.

Measurement: A Very Short Introduction

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Author :
Publisher : Oxford University Press
ISBN 13 : 0191085014
Total Pages : 144 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Measurement: A Very Short Introduction by : David J. Hand

Download or read book Measurement: A Very Short Introduction written by David J. Hand and published by Oxford University Press. This book was released on 2016-09-29 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Trigonometry: A Complete Introduction

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Author :
Publisher : Hachette UK
ISBN 13 : 1473678501
Total Pages : 208 pages
Book Rating : 4.4/5 (736 download)

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Book Synopsis Trigonometry: A Complete Introduction by : Hugh Neill

Download or read book Trigonometry: A Complete Introduction written by Hugh Neill and published by Hachette UK. This book was released on 2018-06-07 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trigonometry: A Complete Introduction is the most comprehensive yet easy-to-use introduction to Trigonometry. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of trigonometry including the theory and equations of tangent, sine and cosine, using trigonometry in three dimensions and for angles of any magnitude, and applications of trigonometry including radians, ratio, compound angles and circles related to triangles. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.

Statistics: A Very Short Introduction

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Publisher : OUP Oxford
ISBN 13 : 0191578924
Total Pages : 138 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Statistics: A Very Short Introduction by : David J. Hand

Download or read book Statistics: A Very Short Introduction written by David J. Hand and published by OUP Oxford. This book was released on 2008-10-23 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern statistics is very different from the dry and dusty discipline of the popular imagination. In its place is an exciting subject which uses deep theory and powerful software tools to shed light and enable understanding. And it sheds this light on all aspects of our lives, enabling astronomers to explore the origins of the universe, archaeologists to investigate ancient civilisations, governments to understand how to benefit and improve society, and businesses to learn how best to provide goods and services. Aimed at readers with no prior mathematical knowledge, this Very Short Introduction explores and explains how statistics work, and how we can decipher them. 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.

Fractals: A Very Short Introduction

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Publisher : OUP Oxford
ISBN 13 : 0191663441
Total Pages : 144 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Fractals: A Very Short Introduction by : Kenneth Falconer

Download or read book Fractals: A Very Short Introduction written by Kenneth Falconer and published by OUP Oxford. This book was released on 2013-09-26 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Trigonometry

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Publisher :
ISBN 13 : 9781981517275
Total Pages : 440 pages
Book Rating : 4.5/5 (172 download)

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Book Synopsis Trigonometry by : Ted Sundstrom

Download or read book Trigonometry written by Ted Sundstrom and published by . This book was released on 2017-12-08 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This college level trigonometry text may be different than most other trigonometry textbooks. In this book, the reader is expected to do more than read the book but is expected to study the material in the book by working out examples rather than just reading about them. So the book is not just about mathematical content (although it does contain important topics in trigonometry needed for further study in mathematics), but it is also about the process of learning and doing mathematics and is designed not to be just casually read but rather to be engaged. Recognizing that actively studying a mathematics book is often not easy, several features of the textbook have been designed to help students become more engaged as they study the material. Some of the features are: Beginning activities in each section that engage students with the material to be introduced, focus questions that help students stay focused on what is important in the section, progress checks that are short exercises or activities that replace the standard examples in most textbooks, a section summary, and appendices with answers for the progress checks and selected exercises.

Philosophy of Science: A Very Short Introduction

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Author :
Publisher : Oxford Paperbacks
ISBN 13 : 9780192802835
Total Pages : 168 pages
Book Rating : 4.8/5 (28 download)

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Book Synopsis Philosophy of Science: A Very Short Introduction by : Samir Okasha

Download or read book Philosophy of Science: A Very Short Introduction written by Samir Okasha and published by Oxford Paperbacks. This book was released on 2002-05-30 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topology

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Publisher : Oxford University Press, USA
ISBN 13 : 0198832680
Total Pages : 169 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Topology by : Richard Earl

Download or read book Topology written by Richard Earl and published by Oxford University Press, USA. This book was released on 2020-01-11 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: How is a subway map different from other maps? What makes a knot knotted? What makes the M�bius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics. In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. 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 :
Publisher : Oxford University Press
ISBN 13 : 0191062782
Total Pages : 160 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Philosophy of Science: Very Short Introduction by : Samir Okasha

Download or read book Philosophy of Science: Very Short Introduction written by Samir Okasha and published by Oxford University Press. This book was released on 2016-07-21 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.