Trigonometry

I.M. Gelfand; Mark Saul

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( su 17 valutazioni fornite da Goodreads )

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.

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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

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1.Trigonometry (Paperback)

Editore: BIRKHAUSER BOSTON INC, United States (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Condizione libro: New. 2001 ed.. 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. Codice libro della libreria KNV9780817639143

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2.Trigonometry (Paperback)

Editore: BIRKHAUSER BOSTON INC, United States (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Condizione libro: New. 2001 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. 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. Codice libro della libreria LIE9780817639143

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3.Trigonometry

Editore: Birkhäuser Boston 2001-06-08, Boston, [Mass.] (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descrizione libro Birkhäuser Boston 2001-06-08, Boston, [Mass.], 2001. paperback. Condizione libro: New. Codice libro della libreria 9780817639143

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4.Trigonometry (Paperback)

Editore: BIRKHAUSER BOSTON INC, United States (2001)
ISBN 10: 0817639144 ISBN 13: 9780817639143
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2001. Paperback. Condizione libro: New. 2001 ed.. 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. Codice libro della libreria KNV9780817639143

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Descrizione libro Birkhauser Boston Inc, 2001. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780817639143

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6.Trigonometry (Gelfand Mathematical Seminar Series)

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Descrizione libro Birkhäuser, 2013. Condizione libro: New. This item is printed on demand for shipment within 3 working days. Codice libro della libreria LP9780817639143

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7.Trigonometry

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Descrizione libro BirkhÃ¤user, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780817639143_lsuk

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Descrizione libro BirkhÃ¤user. Paperback. Condizione libro: New. Paperback. 229 pages. Dimensions: 8.9in. x 6.0in. x 0.5in.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 programAlgebra, Functions and Graphs, and The Method of CoordinatesTrigonometry 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 Gelfand 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 This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780817639143

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9.Trigonometry

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Descrizione libro Birkhauser Boston Inc, 2001. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780817639143

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Editore: BirkhÃ¤user (2001)
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Descrizione libro BirkhÃ¤user, 2001. Paperback. Condizione libro: NEW. 9780817639143 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0411748

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