Trigonometry

Av Gelfand, Saul

280 sidor, 299 kr (exkl. moms och frakt)

This book is the result of the successful collaboration between two experienced pre-college teachers, one of whom, I.M. Gelfand, is considered the most distinguished living mathematician. Gelfand's impact on generations of young people, some now mathematicians of renown, continues to be remarkable.

All basic topics in Trigonometry are covered with an emphasis on beautiful illustrations and examples that treat elementary trigonometry as an outgrowth of geometry, but stimulate the reader to think of all of mathematics as a unified subject. The definitions of the trigonometric functions are geometrically motivated. Geometric relationships are rewritten in trigonometric form and extended. The text then makes a transition to a study of the algebraic and analytic properties of trigonometric functions, in a way that provides a solid foundation for more advanced mathematical discussions.

Like other publications by Gelfand, "Algebra", "Functions and Graphs", and "The Method of Coordinates", "Trigonometry" is written in an engaging style, and approaches the material in a unique fashion that will motivate students and teachers alike.

Contents

Preface / Geometry Sets The Stage / Definitions Of The Trigonometric Functions / Relations Among The Trigonometric Functions / Trigonometry And Geometry / Generalizing The Trigonometric Ratios / Radian Measure / Addition Formulas / More About The Addition Formulas / Graphs Of Trigonometric Functions / Functions And Inverse Functions / More About Graphs

Features

Carefully chosen exercises and beautiful illustrations throughout * Treatment of elementary trigonometry as an outgrowth of geometry * Broad range of material covered extending the traditional trigonometry curriculum * Unique progression of topics stimulating readers to think of mathematics as a unified subject. All the basic topics are covered in this engaging book in which the simple material of elementary trigonometry leads to deeper insights about algebra, functions, and calculus, providing a solid foundation for more advanced mathematical study.