Analytic Geometry of Space (Classic Reprint) - Softcover

Gaebelein, Arno C.

9781440091773: Analytic Geometry of Space (Classic Reprint)

Softcover

ISBN 10: 1440091773 ISBN 13: 9781440091773

Verlag: Forgotten Books, 2018

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Analytic Geometry of Space by Virgil Snyder offers a rigorous, coordinate-based study of three-dimensional geometry, extending the ideas of plane analytic geometry into space.

This edition presents the foundations of coordinates, planes, lines, and quadric surfaces with clear, structured explanations. The book frames space with three mutually perpendicular coordinate planes, defines axes and coordinates, and builds up to complex objects like spheres and quadric surfaces. It covers transformations, projections, and practical methods for describing space using algebraic equations, making it a comprehensive reference for advanced geometry study.

Clear introduction to rectangular coordinates and space coordinates
Equations and properties of planes, lines, and quadric surfaces
Methods for transforming space and understanding projections
Problem sets and exercises to reinforce concepts

Ideal for readers of advanced geometry and students seeking a thorough, math-driven treatment of space.

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Verlag: Forgotten Books
Erscheinungsdatum: 2018
Sprache: Englisch
ISBN 10: 1440091773
ISBN 13: 9781440091773
Einband: Taschenbuch
Anzahl der Seiten: 310
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Analytic Geometry of Space (Classic Reprint)

Virgil Snyder

Verlag: Forgotten Books, 2018

ISBN 10: 1440091773 ISBN 13: 9781440091773

Neu Paperback

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Anbieter: Forgotten Books, London, Vereinigtes K�nigreich

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Paperback. Zustand: New. Print on Demand. This book offers a comprehensive exploration of the geometry of three-dimensional space, a field that has fascinated mathematicians for centuries. Building upon the foundations of plane analytic geometry, the author guides readers through a detailed examination of planes, lines, and quadric surfaces. The book employs various coordinate systems â� � including rectangular, polar, cylindrical, and spherical â� � to provide a multifaceted understanding of spatial relationships. The text delves into the complex relationship between equations and geometric figures, offering readers a powerful tool for visualizing and analyzing three-dimensional objects. Through the exploration of diverse forms of quadric surfaces, including ellipsoids, hyperboloids, paraboloids, and cones, the author reveals the underlying patterns and principles that govern spatial geometry. The bookâ� �s exploration of linear transformations and invariant properties offers a deeper understanding of the fundamental nature of geometric objects. The use of tetrahedral coordinates, introduced through linear transformations, provides a unique and elegant framework for studying quadric surfaces and their properties. Ultimately, this book serves as a valuable resource for those seeking to unravel the complexities of spatial geometry. 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. Bestandsnummer des Verk�ufers 9781440091773_0

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