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Cover: 9780817639143 | Trigonometry | Mark Saul (u. a.) | Taschenbuch | Paperback | Englisch
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Trigonometry
Taschenbuch von Mark Saul (u. a.)
Sprache: Englisch

36,40 €*

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Lieferzeit 4-7 Werktage

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Beschreibung
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.
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.
Zusammenfassung

"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)

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2001
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 240
Inhalt: x
229 S.
ISBN-13: 9780817639143
ISBN-10: 0817639144
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Saul, Mark
Gelfand, I. M.
Auflage: 2001
Hersteller: Birkhäuser Boston
Maße: 229 x 152 x 14 mm
Von/Mit: Mark Saul (u. a.)
Erscheinungsdatum: 08.06.2001
Gewicht: 0,354 kg
preigu-id: 106661365
Zusammenfassung

"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)

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2001
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 240
Inhalt: x
229 S.
ISBN-13: 9780817639143
ISBN-10: 0817639144
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Saul, Mark
Gelfand, I. M.
Auflage: 2001
Hersteller: Birkhäuser Boston
Maße: 229 x 152 x 14 mm
Von/Mit: Mark Saul (u. a.)
Erscheinungsdatum: 08.06.2001
Gewicht: 0,354 kg
preigu-id: 106661365
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