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Modern Trigonometry
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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.
Book Synopsis Concepts of Modern Mathematics by : Ian Stewart
Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Book Synopsis Modern Algebra and Trigonometry by : Mary P. Dolciani
Download or read book Modern Algebra and Trigonometry written by Mary P. Dolciani and published by . This book was released on 1973 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Modern Mathematics by : Kenneth O, May
Download or read book Elements of Modern Mathematics written by Kenneth O, May and published by Dover Publications. This book was released on 2019-11-13 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra. From that starting point, it is designed to lead readers willing to work through its exercises and problems to the achievement of basic mathematical literacy. The text provides a fundamental orientation in modern mathematics, an essential vocabulary of mathematical terms, and some facility in the use of mathematical concepts and symbols. From there, readers will be equipped to move on to more serious work, and they'll be well on the way to having the tools essential for work in the physical sciences, engineering, and the biological and social sciences. Starting with elementary treatments of algebra, logic, and set theory, the book advances to explorations of plane analytic geometry, relations and functions, numbers, and calculus. Subsequent chapters discuss probability, statistical inference, and abstract mathematical theories. Each section is enhanced with exercises in the text and problems at the end. Answers to the exercises and some of the problems are included at the end of each section.
Book Synopsis Advanced Trigonometry by : C. V. Durell
Download or read book Advanced Trigonometry written by C. V. Durell and published by Courier Corporation. This book was released on 2012-11-20 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.
Book Synopsis Geometry with Trigonometry by : Patrick D Barry
Download or read book Geometry with Trigonometry written by Patrick D Barry and published by Woodhead Publishing. This book was released on 2015-12-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three years Errors have been corrected and some proofs marginally improved The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere
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.
Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen
Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.
Book Synopsis Modern Trigonometry by : William A. Rutledge
Download or read book Modern Trigonometry written by William A. Rutledge and published by . This book was released on 1961 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Modern Algebra, International Edition by : Linda Gilbert
Download or read book Elements of Modern Algebra, International Edition written by Linda Gilbert and published by Cengage Learning. This book was released on 2008-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: ELEMENTS OF MODERN ALGEBRA, 7e, INTERNATIONAL EDITION with its user-friendly format, provides you with the tools you need to get succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses.. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills.
Book Synopsis Modern Trigonometry by : William Wooton
Download or read book Modern Trigonometry written by William Wooton and published by . This book was released on 1979 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Algebra and Trigonometry by :
Download or read book Modern Algebra and Trigonometry written by and published by . This book was released on 1975 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Ernest William 1856-1933 Hobson Publisher :Hassell Street Press ISBN 13 :9781014614957 Total Pages :424 pages Book Rating :4.6/5 (149 download)
Book Synopsis A Treatise on Plane and Advanced Trigonometry by : Ernest William 1856-1933 Hobson
Download or read book A Treatise on Plane and Advanced Trigonometry written by Ernest William 1856-1933 Hobson and published by Hassell Street Press. This book was released on 2021-09-09 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Books and Pamphlets, Including Serials and Contributions to Periodicals by : Library of Congress. Copyright Office
Download or read book Books and Pamphlets, Including Serials and Contributions to Periodicals written by Library of Congress. Copyright Office and published by . This book was released on 1968 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Geometry, and Plane Trigonometry by : Sir John Leslie
Download or read book Elements of Geometry, and Plane Trigonometry written by Sir John Leslie and published by . This book was released on 1820 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Trigonometry by : William Wooton
Download or read book Modern Trigonometry written by William Wooton and published by . This book was released on 1969 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Trigonometry by : William J. Bruce
Download or read book Analytic Trigonometry written by William J. Bruce and published by Elsevier. This book was released on 2014-05-16 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Trigonometry details the fundamental concepts and underlying principle of analytic geometry. The title aims to address the shortcomings in the instruction of trigonometry by considering basic theories of learning and pedagogy. The text first covers the essential elements from elementary algebra, plane geometry, and analytic geometry. Next, the selection tackles the trigonometric functions of angles in general, basic identities, and solutions of equations. The text also deals with the trigonometric functions of real numbers. The fifth chapter details the inverse trigonometric functions, while the sixth chapter covers the procedures for sketching graphs of trigonometric functions. The coverage of the selection also includes logarithm, solutions of triangles, polar coordinates, and complex numbers. The book will be of great use to both instructors and students of trigonometry.
