Trigonometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| 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 |
| Beschreibung: | 1 Online-Ressource (X, 229p. 185 illus) |
| ISBN: | 9781461201496 9780817639143 |
| DOI: | 10.1007/978-1-4612-0149-6 |
Internformat
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| 500 | |a 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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Datensatz im Suchindex
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| author | Gelfand, I. M. |
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| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0149-6 |
| format | Electronic eBook |
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| isbn | 9781461201496 9780817639143 |
| language | English |
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| spelling | Gelfand, I. M. Verfasser aut Trigonometry by I. M. Gelfand, Mark Saul Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (X, 229p. 185 illus) txt rdacontent c rdamedia cr rdacarrier 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 Mathematics Algebra Geometry Mathematics Education Mathematik Trigonometrie (DE-588)4060888-8 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Trigonometrie (DE-588)4060888-8 s 2\p DE-604 Saul, Mark Sonstige oth https://doi.org/10.1007/978-1-4612-0149-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gelfand, I. M. Trigonometry Mathematics Algebra Geometry Mathematics Education Mathematik Trigonometrie (DE-588)4060888-8 gnd |
| subject_GND | (DE-588)4060888-8 (DE-588)4143389-0 |
| title | Trigonometry |
| title_auth | Trigonometry |
| title_exact_search | Trigonometry |
| title_full | Trigonometry by I. M. Gelfand, Mark Saul |
| title_fullStr | Trigonometry by I. M. Gelfand, Mark Saul |
| title_full_unstemmed | Trigonometry by I. M. Gelfand, Mark Saul |
| title_short | Trigonometry |
| title_sort | trigonometry |
| topic | Mathematics Algebra Geometry Mathematics Education Mathematik Trigonometrie (DE-588)4060888-8 gnd |
| topic_facet | Mathematics Algebra Geometry Mathematics Education Mathematik Trigonometrie Aufgabensammlung |
| url | https://doi.org/10.1007/978-1-4612-0149-6 |
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