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Trigonometry - (Gelfand Mathematical Seminar) by I M Gelfand & Mark Saul (Paperback)
About this item
Highlights
- "The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done.
- Author(s): I M Gelfand & Mark Saul
- 229 Pages
- Mathematics, Trigonometry
- Series Name: Gelfand Mathematical Seminar
Description
About the Book
Replete with illustrations and examples, this book covers all the basic topics of trigonometry and stimulates readers to think of mathematics as a unified subject. Definitions of trigonometric functions are geometrically motivated, and various geometric relationships are rewritten in trigonometric form and extended. The text is written by two experienced pre-college teachers, one of whom, I.M. Gelfand, is considered the most distinguished living mathematician. 6/99.Book Synopsis
"The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gel'fand and Shen. There are specific 'practical' problems but there is much more development of the ideas....[The authors] have shown how to write a serious yet lively book on algebra."
--- R. Askey, The American Mathematics Monthly (review of Algebra)
Review Quotes
"Cover[s] all of the basic topics that a high school or beginning university student should be expected to know.... There are...some nice touches; for example, a nice informal discussion showing that the sine of an angle in a right triangle does not depend on whether the sides are measured in inches or centimeters..."
--Choice
"Covers all the basics of the subject through beautiful illustrations and examples.... Throughout, the treatment stimulates the reader to think of mathematics as a unified subject."
-- L'enseignement Mathématique
"As a teacher I enjoyed this book enormously and I will doubtless borrow many of the plums to spice up my lessons.... [For] that ideal student who is to be prepared to be challenged to think what the subject is really about, and has the patience to excavate the basic ideas for all they are worth before jumping on to the next chapter, it should prove to be a godsend."
--The Mathematical Gazette
"The authors tried to explain the results of trigonometry as simply as possible.... The exercises include a few problems of each routine type. Most of the problems exhibit a new aspect of the technique or object under discussion. One of the goals of this book is to prepare students for a course in calculus. We recommend it for teachers and students."
--Publicationes Mathematicae