Trigonometry

Nonfiction, Science & Nature, Mathematics, Geometry, Reference & Language, Education & Teaching, Teaching, Teaching Methods
Cover of the book Trigonometry by I.M. Gelfand, Mark Saul, Birkhäuser Boston
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: I.M. Gelfand, Mark Saul ISBN: 9781461201496
Publisher: Birkhäuser Boston Publication: December 6, 2012
Imprint: Birkhäuser Language: English
Author: I.M. Gelfand, Mark Saul
ISBN: 9781461201496
Publisher: Birkhäuser Boston
Publication: December 6, 2012
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Birkhäuser Boston

Cover of the book The Biology of Computer Life by I.M. Gelfand, Mark Saul
Cover of the book Immanuel Kant by I.M. Gelfand, Mark Saul
Cover of the book The Courant–Friedrichs–Lewy (CFL) Condition by I.M. Gelfand, Mark Saul
Cover of the book Pharmacology of Endogenous Neurotoxins by I.M. Gelfand, Mark Saul
Cover of the book Slow Potential Changes in the Brain by I.M. Gelfand, Mark Saul
Cover of the book Scan Statistics by I.M. Gelfand, Mark Saul
Cover of the book Tissue Engineering by I.M. Gelfand, Mark Saul
Cover of the book Ancient Indian Leaps into Mathematics by I.M. Gelfand, Mark Saul
Cover of the book Nitric Oxide and the Regulation of the Peripheral Circulation by I.M. Gelfand, Mark Saul
Cover of the book Why We Nap by I.M. Gelfand, Mark Saul
Cover of the book A Beginner's Guide to Discrete Mathematics by I.M. Gelfand, Mark Saul
Cover of the book Green's Functions and Infinite Products by I.M. Gelfand, Mark Saul
Cover of the book Differentiable Manifolds by I.M. Gelfand, Mark Saul
Cover of the book Circuit Simulation with SPICE OPUS by I.M. Gelfand, Mark Saul
Cover of the book Connectionistic Problem Solving by I.M. Gelfand, Mark Saul
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy