Elements of Geometry (Classic Reprint)

Simon Newcomb

ISBN 10: 0656868422 / ISBN 13: 9780656868421

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book presents a comprehensive exploration of Euclidean geometry. Its systematic approach, starting with fundamental axioms and definitions, paves the way for deductive reasoning and a deeper understanding of geometry's principles. The author's focus on foundational concepts ensures a solid understanding of the subject matter, making this book a valuable resource for students and geometry enthusiasts alike. The author places Euclidean geometry within its historical context, highlighting its foundational role in the development of mathematics and its enduring influence on architecture and art. By tracing the evolution of geometric ideas, the book uncovers the depth and significance of this mathematical system. The book's thematic depth lies in its exploration of the relationship between geometry and logic. It demonstrates how axioms and definitions serve as the foundation for deductive reasoning, allowing us to derive new geometric truths through logical inferences. The author also examines the relationship between geometry and measurement, exploring the practical applications of geometric principles in areas such as architecture and engineering. In conclusion, this book provides a comprehensive and engaging journey into the world of Euclidean geometry, offering a deep understanding of its foundational principles, historical significance, and practical applications. It is an indispensable resource for anyone seeking to master this enduring mathematical system. 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.

Seller Inventory # 9780656868421_0

Bibliographic Details

• Title: Elements of Geometry (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 0656868422
• ISBN 13: 9780656868421
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Geometry

About this title

Synopsis

Foundations of Geometry offers a clear, teacher-friendly path from definitions to proofs .

This edition presents a careful, step-by-step Euclidean approach designed for students and instructors alike. The book emphasizes a rigorous, time-honored method while incorporating thoughtful innovations. It includes an introductory book to train geometric reasoning by sight before formal demonstrations, a division of demonstrations into numbered steps, and references to prior propositions to help keep ideas in mind. It also guides learners through constructing reasoning about lines, planes, and figures with a focus on clear, accessible explanations.

• Structured progression from basic concepts to advanced topics.
• Built-in practice with labeled steps and logical connections between results.
• Coverage of conic sections and three-dimensional geometry, with practical exercises.
• Careful discussion of how geometric ideas have evolved from classical to modern approaches.

Ideal for readers who want a solid, classroom-tested foundation in geometry and for teachers seeking a dependable framework for instruction.