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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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. 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 RenÃÂ 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. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780282624842_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282624842
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282624842
Quantity: 15 available