Trigonometry
by I.M. Gelfand, Mark Saul
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Book Summary Information
Author: I.M. Gelfand, Mark SaulEdition: Paperback
Audio: English (Unknown); English (Original Language); English (Published)
Published: 2001-06-08
ISBN: 0817639144
Number of pages: 239
Publisher: Birkhäuser Boston
Accessories:
- The Geometer's Sketchpad: Dynamic Geometry Software for Exploring Mathematics
- The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004 (Problem Books in Mathematics)
Book Reviews of Trigonometry
Book Review: A fascinating treatment of trigonometry.
Summary: 5 Stars
This text, which is designed as a supplement to a trigonometry course, is noteworthy for the clarity of its explanations, the connections it draws between trigonometry and other mathematical topics, its many challenging problems, and its numerous worked and illustrated examples. Of particular interest are the appendices to the later chapters in which the authors relate trigonometry to Pythagorean triples, use sequences of trigonometric functions to approximate pi, and introduce Fourier series.
After reviewing the geometry of the triangle, the authors cover right triangle trigonometry, the relationship between trigonometry and the geometry of the triangle, unit circle trigonometry, trigonometric formulas and identities, graphs of trigonometric functions, and inverse trigonometric functions. The authors make every effort to explain why the results hold and how to use them. Rather than presenting a self-contained treatment, the authors make every effort to connect trigonometry with other branches of mathematics, thereby providing the reader with many fascinating insights.
The problems are designed to be challenging. The reader who diligently studies the numerous worked examples in the text and works through the problems will acquire considerable knowledge of the subject. Solutions to the problems are not provided in the text.
I also highly recommend the other texts in the Gelfand School Outreach Program. They include The Method of Coordinates, Algebra, and Functions and Graphs (Dover Books on Mathematics).
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