Trigonometry and Analytical Geometry - Softcover

Alexander Joseph Cook

 
9780282624842: Trigonometry and Analytical Geometry

Synopsis

This book delves into the fascinating world of trigonometry and analytical geometry, exploring how these mathematical disciplines arose from the ancient Greek concept of geometry. The author traces the evolution of these fields, highlighting how they emerged from the limitations of early Greek arithmetic and the contributions of later civilizations in India and Arabia. A key turning point in this journey was the revolutionary work of René Descartes in the 17th century, who combined algebra with geometry to create a powerful new tool for understanding the world around us, known as analytical geometry. The book lays out the fundamental concepts of analytical geometry, starting with the representation of variables using a straight-line scale. It then moves on to the concept of coordinates, which allowed mathematicians to represent points in space and establish relationships between different points and lines. Through a series of clear explanations and insightful examples, the author introduces concepts such as the length of a line segment, bisection, and the use of coordinates to prove geometrical theorems. The book explores the idea of scale transformations, a key element in mapping and measurement, offering readers a deeper understanding of how different units can be related. This book is an engaging exploration of the origins and development of trigonometry and analytical geometry, showcasing how these powerful tools have shaped our understanding of the world. The author's historical perspective and insightful explanations provide a unique and valuable window into the evolution of these crucial mathematical concepts.

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Other Popular Editions of the Same Title

9780365362616: Trigonometry and Analytical Geometry: A Provisional Course (Classic Reprint)

Featured Edition

ISBN 10:  0365362611 ISBN 13:  9780365362616
Publisher: Forgotten Books, 2019
Hardcover