Gelfand, I.M.; Saul, Mark Trigonometry (Gelfand Mathematical Seminar Series)

# Trigonometry (Gelfand Mathematical Seminar Series)

## Gelfand, I.M.; Saul, Mark

4,67 valoración promedio
( 12 valoraciones por GoodReads )

Review:

"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

From the Publisher:

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

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## 1.Trigonometry (Paperback)

Editorial: BIRKHAUSER BOSTON INC, United States (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Estado de conservación: New. 2001 ed.. 226 x 152 mm. Language: English . Brand New Book. In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud- ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers. Nº de ref. de la librería KNV9780817639143

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## 2.Trigonometry

ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descripción Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería 207003-n

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## 3.Trigonometry (Paperback)

Editorial: BIRKHAUSER BOSTON INC, United States (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Estado de conservación: New. 2001 ed.. 226 x 152 mm. Language: English . Brand New Book. In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud- ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers. Nº de ref. de la librería KNV9780817639143

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## 4.Trigonometry

ISBN 10: 0817639144 ISBN 13: 9780817639143
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English-Book-Service Mannheim
(Mannheim, Alemania)
Valoración

Descripción Estado de conservación: New. Publisher/Verlag: Springer, Basel | In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers. | 0 Trigonometry.- 1 Trigonometric Ratios in a Triangle.- 2 Relations among Trigonometric Ratios.- 3 Relationships in a Triangle.- 4 Angles and Rotations.- 5 Radian Measure.- 6 The Addition Formulas.- 7 Trigonometric Identities.- 8 Graphs of Trigonometric Functions.- 9 Inverse Functions and Trigonometric Equations. | Format: Paperback | Language/Sprache: english | 328 gr | 229x152x12 mm | 229 pp. Nº de ref. de la librería K9780817639143

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## 5.Trigonometry

Editorial: Birkhauser Boston Inc (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descripción Birkhauser Boston Inc, 2001. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería I2-9780817639143

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## 6.Trigonometry

Editorial: Birkhäuser (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Book Deals
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Descripción Birkh&auml;user, 2001. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 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. Nº de ref. de la librería ABE_book_new_0817639144

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## 7.Trigonometry

ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descripción Estado de conservación: New. Nº de ref. de la librería NU-ING-00703862

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## 8.Trigonometry

Editorial: BirkhÃ¤user (2016)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descripción BirkhÃ¤user, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780817639143_lsuk

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## 9.Trigonometry

Editorial: Birkhauser Boston Inc (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descripción Birkhauser Boston Inc, 2001. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780817639143

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## 10.Trigonometry

Editorial: BirkhÃ¤user (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Herb Tandree Philosophy Books
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Descripción BirkhÃ¤user, 2001. Paperback. Estado de conservación: NEW. 9780817639143 Paperback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0411748

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