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Trigonometry

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Trigonometry Cover

 

Synopses & Reviews

Publisher Comments:

Trigonometry, a work in the collection of the Gelfand School Program, is the result of a collaboration between two experienced pre-college teachers, one of whom, I.M. Gelfand, is considered to be among our most distinguished living mathematicians. His impact on generations of young people, some now mathematicians of renown, continues to be remarkable. Trigonometry covers all the basics of the subject through beautiful illustrations and examples. The definitions of the trigonometric functions are geometrically motivated. Geometric relationships are rewritten in trigonometric form and extended. The text then makes a transition to the study of algebraic and analytic properties of trigonometric functions, in a way that provides a solid foundation for more advanced mathematical discussions. Throughout, the treatment stimulates the reader to think of mathematics as a unified subject. Like other I.M. Gelfand treasures in the program--Algebra, Functions and Graphs, and The Method of Coordinates--Trigonometry is written in an engaging style, and approaches the material in a unique fashion that will motivate students and teachers alike.

From a review of Algebra, I.M. Gelfand and A. Shen, ISBN 0-8176-3677-3:

"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

 

Synopsis:

Trigonometry, a work in the collection of the Gelfand School Program, is the result of a collaboration between two experienced pre-college teachers, one of whom, I.M. Gelfand, is considered to be among our most distinguished living mathematicians. His impact on generations of young people, some now mathematicians of renown, continues to be remarkable. Trigonometry covers all the basics of the subject through beautiful illustrations and examples. The definitions of the trigonometric functions are geometrically motivated. Geometric relationships are rewritten in trigonometric form and extended. The text then makes a transition to the study of algebraic and analytic properties of trigonometric functions, in a way that provides a solid foundation for more advanced mathematical discussions. Throughout, the treatment stimulates the reader to think of mathematics as a unified subject. Like other I.M. Gelfand treasures in the program--Algebra, Functions and Graphs, and The Method of Coordinates--Trigonometry is written in an engaging style, and approaches the material in a unique fashion that will motivate students and teachers alike. From a review of Algebra, I.M. Gelfand and A. Shen, ISBN 0-8176-3677-3: "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  

Synopsis:

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.

Table of Contents

Preface 0. Trigonometry 1. What Is New About Trigonometry? 2. Right Triangles 3. The Pythagorean Theorem 4. Our Best Friends (Among Right Triangles) 5. Our Next Best Friends (Among Right Triangles) 6. Some Standard Notation Appendix I. Classifying Triangles II. Proof of the Pythagorean Theorem 1. Trigonometric Ratios in a Triangle 1. Definition Of Sin [Alpha] 2. Find the Hidden Sine

Product Details

ISBN:
9780817639143
Author:
Gelfand, Israel M.
Author:
Saul, Mark E.
Author:
Gelfand, I. M.
Author:
Saul, Mark
Author:
Gel'fand, I. M.
Publisher:
Birkhauser
Location:
Boston, MA
Subject:
Trigonometry
Subject:
Trigonometry, plane
Subject:
Plane trigonometry.
Subject:
Geometry - General
Subject:
Algebra
Subject:
Mathematics
Subject:
Geometry
Subject:
Mathematics -- education.
Subject:
Mathematics-Geometry and Trigonometry
Subject:
The Arts
Subject:
mathematics and statistics
Copyright:
Edition Description:
Book
Publication Date:
20010608
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
239
Dimensions:
229 x 152 mm 760 gr

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Related Subjects


Science and Mathematics » Mathematics » Calculus » Precalculus
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Trigonometry

Trigonometry New Trade Paper
0 stars - 0 reviews
$38.25 In Stock
Product details 239 pages Birkhauser Boston - English 9780817639143 Reviews:
"Synopsis" by , Trigonometry, a work in the collection of the Gelfand School Program, is the result of a collaboration between two experienced pre-college teachers, one of whom, I.M. Gelfand, is considered to be among our most distinguished living mathematicians. His impact on generations of young people, some now mathematicians of renown, continues to be remarkable. Trigonometry covers all the basics of the subject through beautiful illustrations and examples. The definitions of the trigonometric functions are geometrically motivated. Geometric relationships are rewritten in trigonometric form and extended. The text then makes a transition to the study of algebraic and analytic properties of trigonometric functions, in a way that provides a solid foundation for more advanced mathematical discussions. Throughout, the treatment stimulates the reader to think of mathematics as a unified subject. Like other I.M. Gelfand treasures in the program--Algebra, Functions and Graphs, and The Method of Coordinates--Trigonometry is written in an engaging style, and approaches the material in a unique fashion that will motivate students and teachers alike. From a review of Algebra, I.M. Gelfand and A. Shen, ISBN 0-8176-3677-3: "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  
"Synopsis" by , 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.
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