Trigonometry
- ISBN-10
- 0817639144
- ISBN-13
- 9780817639143
- Series
- Trigonometry
- Category
- Mathematics
- Pages
- 229
- Language
- English
- Published
- 2001-06-08
- Publisher
- Springer Science & Business Media
- Authors
- I.M. Gelfand, Mark Saul
Description
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.
Get the book
Other editions
Similar books
-
Trigonometry
By Ted Sundstrom, Steven SchlickerIn this book, the reader is expected to do more than read the book but is expected to study the material in the book by working out examples rather than just reading about them.
-
Trigonometry Smarts!
By Rebecca Wingard-NelsonThis book is designed for students to use alone or with a tutor or parent, and provides clear lessons with easy-to-learn techniques and plenty of examples.
-
Trigonometry
By Charles P. McKeagueTrigonometry. To the student: We are going to begin this chapter with a second definition for the six trigonometric functions. This second definition will be given in terms of right triangles. As you will see, it will not conflict with ...
-
Essential Trigonometry: A Self-Teaching Guide
By Tim HillThis no-nonsense guide provides students and self-learners with a clear and readable study of trigonometry's most important ideas.
-
Trigonometry: A Complete Introduction: Teach Yourself: The Easy Way to Learn Trig
By Hugh NeillWritten by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge.
-
Trigonometry: A Very Short Introduction
By Glen van BrummelenABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly.
-
Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry
By Glen van BrummelenI haven't followed mathematical proofs with such delight in decades. If, as the author laments, spherical trigonometry was in danger of extinction, this book will give it a long-lasting reprieve.
-
CliffsStudySolver Trigonometry
By David A HerzogWritten by teachers and educational specialists Get the concise review materials and practice you need to learn Trigonometry, including: Explanations of All Elements and Principles * Angles and quadrants * Graphs of trigonometric functions ...
-
Learning Trigonometry By Problem Solving
By Alexander Rozenblyum, Leonid Rozenblyum22 Mathematical Labyrinths. Pathfinding by Boris Pritsker Vol. 21 Adventures in Recreational Mathematics: Selected Writings on Recreational Mathematics and its History (In 2 Volumes) by David Singmaster Vol. 20 X Games in Mathematics: ...
-
Essentials of Trigonometry
By Karl J. SmithFollowing the same presentation of and features for Trigonometry for College Students, Seventh Edition, this text was built by beginning with the right angle definition and applications involving the solution of right triangles.