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Learning Trigonometry By Problem Solving

Learning Trigonometry By Problem Solving
Author: Alexander Rozenblyum
Publisher: World Scientific
Total Pages: 381
Release: 2021-06-25
Genre: Mathematics
ISBN: 9811231222

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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

The Humongous Book of Algebra Problems
Author: W. Michael Kelley
Publisher: Penguin
Total Pages: 576
Release: 2008-07
Genre: Mathematics
ISBN: 9781592577224

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


Heavenly Mathematics

Heavenly Mathematics
Author: Glen Van Brummelen
Publisher: Princeton University Press
Total Pages: 218
Release: 2013
Genre: Mathematics
ISBN: 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

The Humongous Book of Statistics Problems
Author: Robert Donnelly
Publisher: Penguin
Total Pages: 732
Release: 2009-12-01
Genre: Mathematics
ISBN: 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.


Trigonometry

Trigonometry
Author: James Tanton
Publisher: The Mathematical Association of America
Total Pages: 233
Release: 2015-08-10
Genre: Mathematics
ISBN: 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!)


103 Trigonometry Problems

103 Trigonometry Problems
Author: Titu Andreescu
Publisher: Springer Science & Business Media
Total Pages: 214
Release: 2006-03-06
Genre: Mathematics
ISBN: 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

Trigonometric Functions
Author: Alexey A. Panchishkin
Publisher:
Total Pages: 172
Release: 1988
Genre: Trigonometrical functions
ISBN: 9785030002224

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Trigonometry Success in 20 Minutes a Day

Trigonometry Success in 20 Minutes a Day
Author: Christopher Thomas
Publisher: Learning Express (NY)
Total Pages: 0
Release: 2007
Genre: Advanced placement programs (Education)
ISBN: 9781576855966

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Teaches the essential trigonometry skills needed for school or Advanced Placement tests. Concepts range from vectors and the unit circle to Law of Sines and Cosines, inverse trigonometric functions and Heron's formula. Exercises in test format allow students to sharpen their test-taking skills.


115 Trigonometry Problems from the AwesomeMath Summer Program

115 Trigonometry Problems from the AwesomeMath Summer Program
Author: Titu Andreescu
Publisher:
Total Pages: 200
Release: 2017-11
Genre: Trigonometry
ISBN: 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.