A First Course in Projective Geometry (Classic Reprint) - Couverture souple

Smart, E. Howard

9781333554798: A First Course in Projective Geometry (Classic Reprint)

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ISBN 10 : 1333554796 ISBN 13 : 9781333554798

Editeur : Forgotten Books, 2018

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Master the essentials of projective geometry with clear, step‑by‑step guidance.

This foundational text covers foundations, projection, duality, and conics, pairing explanations with worked examples and a rich set of exercises to reinforce understanding. This edition presents a structured path through geometric concepts, from basic elements and notation to advanced topics like polars, inversion, and coaxal circles. Readers will learn how projections preserve key properties, how to work with dual relationships, and how conic sections behave under transformation, all with concrete demonstrations you can follow and reproduce.

Clear explanations of geometric foundations, projections, and duality
Worked examples and progressive exercises to build problem‑solving skills
In‑depth treatment of conics, inversion, poles and polars, and related theorems
Illustrations and stepwise methods to practice actual projections and constructions

Ideal for students of geometry and readers seeking a rigorous, approachable introduction to projective geometry with practical applications.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1333554796
ISBN 13: 9781333554798
Reliure: Broch�
Nombre de pages: 311
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A First Course in Projective Geometry (Classic Reprint)

E. Howard Smart

Edit� par Forgotten Books, 2018

ISBN 10 : 1333554796 ISBN 13 : 9781333554798

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This fascinating book introduces projective geometry, a fundamental branch of mathematics concerned with the study of geometric figures from a unique perspective. The author traces its historical roots back to the Greek mathematician Desargues, revealing the profound influence of his work on the development of this field. Through clear explanations and illustrative examples, this book explores the principles of geometric projection, duality, and perspective, providing readers with an accessible understanding of essential concepts. It examines the properties of conic sections, showing how these elegant curves can be characterized and constructed using projective techniques. The book emphasizes the importance of projective geometry in a wide range of disciplines, from architecture and engineering to computer graphics and design. It highlights the practical applications of these principles in areas such as perspective drawing, vanishing points, and the determination of hidden lines. By exploring the relationship between projective geometry and other branches of mathematics, the author demonstrates its deep connections to classical geometry, algebra, and calculus. This book is an excellent resource for students, researchers, and professionals seeking a comprehensive introduction to projective geometry and its enduring impact on various fields of study. 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. N� de r�f. du vendeur 9781333554798_0

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