Trigonometry, Gelfand, I.M., Saul, Mark, 9780817639143
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Trigonometry, Gelfand, I.M., Saul, Mark, 9780817639143
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eBay-Artikelnr.:205403507105
Artikelmerkmale
- Artikelzustand
- ISBN
- 9780817639143
Über dieses Produkt
Product Identifiers
Publisher
Birkhäuser Boston
ISBN-10
0817639144
ISBN-13
9780817639143
eBay Product ID (ePID)
1151493
Product Key Features
Number of Pages
X, 229 Pages
Publication Name
Trigonometry
Language
English
Subject
Geometry / General, Algebra / General, Trigonometry, Teaching Methods & Materials / Mathematics
Publication Year
2001
Type
Textbook
Subject Area
Mathematics, Education
Series
Gel'fand School Outreach Program Ser.
Format
Trade Paperback
Dimensions
Item Weight
26.8 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
99-032245
Reviews
"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 Mathmatique "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, "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, "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..." a?Choice "Covers all the basics of the subject through beautiful illustrations and examplesa? . Throughout, the treatment stimulates the reader to think of mathematics as a unified subject." a? L'enseignement Math'matique "As a teacher I enjoyed this book enormously and I will doubtless borrow many of the plums to spice up my lessonsa? . [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." a?The Mathematical Gazette "The authors tried to explain the results of trigonometry as simply as possiblea? . 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." a?Publicationes Mathematicae, "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, "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
Dewey Edition
21
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.24/2
Table Of Content
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.
Synopsis
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., "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), 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.
LC Classification Number
QA440-699
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98,7% positive Bewertungen•73 Tsd. Artikel verkauft
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Verkäuferbewertungen (16'807)
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Alle Artikel (16'807)
- c***e (1441)- Bewertung vom Käufer.Letzter MonatBestätigter KaufGreat seller! Thanks
- i***1 (93)- Bewertung vom Käufer.Letzter MonatBestätigter KaufExcellent condition! Now for a good read…
- e***e (642)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe book is in excellent condition
- f***_ (265)- Bewertung vom Käufer.Letzter MonatBestätigter KaufGreat Book good price. Condition of the book was excellent.