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Learning Trigonometry By Problem Solving

Author: Alexander Rozenblyum

Publisher: World Scientific

Published: 2021-06-25

Total Pages: 381

ISBN-13: 9811231222

In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters.The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college.We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material.

The Humongous Book of Algebra Problems

Author: W. Michael Kelley

Publisher: Penguin

Published: 2008-07

Total Pages: 576

ISBN-13: 9781592577224

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Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics.

Trigonometry

Author: James Tanton

Publisher: The Mathematical Association of America

Published: 2015-08-10

Total Pages: 233

ISBN-13: 0883858363

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This guide covers the story of trigonometry. It is a swift overview, but it is complete in the context of the content discussed in beginning and advanced high-school courses. The purpose of these notes is to supplement and put into perspective the material of any course on the subject you may have taken or are currently taking. (These notes will be tough going for those encountering trigonometry for the very first time!)

Solving Problems in Algebra and Trigonometry

Author: V. N. Litvinenko

Publisher:

Published: 1987

Total Pages: 322

ISBN-13:

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Heavenly Mathematics

Author: Glen Van Brummelen

Publisher: Princeton University Press

Published: 2013

Total Pages: 218

ISBN-13: 0691148929

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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.

The Humongous Book of Statistics Problems

Author: Robert Donnelly

Publisher: Penguin

Published: 2009-12-01

Total Pages: 732

ISBN-13: 1101151390

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Learn to solve statistics problems—and make them no problem! Most math and science study guides are dry and difficult, but this is the exception. Following the successful The Humongous Books in calculus and algebra, bestselling author Mike Kelley takes a typical statistics workbook, full of solved problems, and writes notes in the margins, adding missing steps and simplifying concepts and solutions. By learning how to interpret and solve problems as they are presented in statistics courses, students prepare to solve those difficult problems that were never discussed in class but are always on exams. There are also annotated notes throughout the book to clarify each problem—all guided by an author with a great track record for helping students and math enthusiasts. His website (calculus-help.com) reaches thousands of students every month.

103 Trigonometry Problems

Author: Titu Andreescu

Publisher: Springer Science & Business Media

Published: 2006-03-06

Total Pages: 214

ISBN-13: 0817644326

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* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training

Trigonometric Functions

Author: Alexey A. Panchishkin

Publisher:

Published: 1988

Total Pages: 172

ISBN-13: 9785030002224

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115 Trigonometry Problems from the AwesomeMath Summer Program

Author: Titu Andreescu

Publisher:

Published: 2017-11

Total Pages: 200

ISBN-13: 9780999342800

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Focusing on Trigonometry reveals a wealth of alternate approaches to solving intricate geometry problems while providing foundational support in other areas of mathematics such as Fourier Analysis and Differential Equations. It is time for Trigonometry to receive the attention it deserves in this stand-alone book where the theory chapter is an invaluable pedagogical resource with lots of examples and guided exercises and the subsequent chapters offer a collection of carefully selected introductory through advanced problems and solutions intended to enhance the problem-solving skills of the reader. This book is not only for those studying for mathematics Olympiads but all individuals who want a better understanding of Trigonometry so they will be more successful in different settings such as a calculus course. This book offers a comprehensive overview of the trigonometric functions and contains a collection of 115 carefully selected introductory and advanced problems in Trigonometry from world-wide renowned Olympiads and mathematical magazines, as well as original problems designed by the authors. Together with the beautiful examples and the creative solutions, the present text is a valuable resource and teaching material for anybody who wants to explore the beauty of Trigonometry.

Algebra and Trigonometry

Author: Jay P. Abramson

Publisher:

Published: 2015-02-13

Total Pages: 1564

ISBN-13: 9781938168376

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"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.