Trigonometry

Trigonometry
ISBN-10
1461201497
ISBN-13
9781461201496
Series
Trigonometry
Category
Mathematics
Pages
229
Language
English
Published
2012-12-06
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.

Other editions

Similar books

  • Trigonometry Refresher
    By A. Albert Klaf

    Covers the most important aspects of plane and spherical trigonometry.

  • Trigonometry
    By Ted Sundstrom, Steven Schlicker

    In 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.

  • Algebra and Trigonometry
    By Jay P. Abramson, Valeree Falduto, Rachael Gross

    "The text is suitable for a typical introductory algebra course, and was developed to be used flexibly.

  • Advanced Trigonometry
    By C. V. Durell, A. Robson

    This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.

  • Learning Trigonometry By Problem Solving
    By Alexander Rozenblyum, Leonid Rozenblyum

    22 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: ...

  • Trigonometry Smarts!
    By Rebecca Wingard-Nelson

    This 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 Thomas Lester, James Gehrmann

    Trigonometry

  • Trigonometry: A Very Short Introduction
    By Glen van Brummelen

    ABOUT 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.

  • CliffsStudySolver Trigonometry
    By David A Herzog

    Written 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 ...

  • Essentials of Trigonometry
    By Karl J. Smith

    Following 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.