115 trigonometry problems from the AwesomeMath Summer Program
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書誌事項
115 trigonometry problems from the AwesomeMath Summer Program
XYZ Press, c2017
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Preface
Theory and Examples
Definition of Trigonometric Functions
Trigonometric Identities
Further Properties, Substitutions and Inverse Functions
A Key Limit, Power Series and Complex Numbers
Inequalities
Trigonometry and Geometry
Appendix: Complements from Real and Complex Analysis
Introductory Problems
Advanced Problems
Solutions to Introductory Problems
Solutions to Advanced Problems
Bibliography
Other Books from XYZ Press
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