Trigonometry (Gelfand Mathematical Seminar Series) Book

"Trigonometry", a work in the collection of the "Gelfand School Outreach Program", 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 I.M. Gel'fand treasures in the program, 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.