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lgli/Metric_affine_geometry.pdf
Metric Affine Geometry 🔍
[by] Ernst Snapper [and] Robert J. Troyer Academic Press; Academic Press Inc; Q, New York, 1989, ©1971
英语 [en] · PDF · 78.7MB · 1971 · 📘 非小说类图书 · 🚀/lgli/lgrs · Save
描述
Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric. This book is organized into three chapters. Chapter 1 discusses nonmetric affine geometry, while Chapter 2 reviews inner products of vector spaces. The metric affine geometry is treated in Chapter 3. This text specifically discusses the concrete model for affine space, dilations in terms of coordinates, parallelograms, and theorem of Desargues. The inner products in terms of coordinates and similarities of affine spaces are also elaborated. The prerequisites for this publication are a course in linear algebra and an elementary course in modern algebra that includes the concepts of group, normal subgroup, and quotient group. This monograph is suitable for students and aspiring geometry high school teachers.
备用文件名
lgrsnf/Metric_affine_geometry.pdf
备选作者
Snapper, Ernst, Troyer, Robert J.
备用出版商
Elsevier Science & Technology Books
备用出版商
Dover Publications, Incorporated
备用出版商
Academic Press, Incorporated
备用出版商
Morgan Kaufmann Publishers
备用出版商
Athenaeum of Philadelphia
备用出版商
Q Academic Press
备用出版商
Brooks/Cole
备用版本
Dover books on advanced mathematics, (Unabridged, corrected republication), New York, 1989
备用版本
United States, United States of America
备用版本
New York, London, United Kingdom, 1971
备用版本
New York, New York State, 1971
备用版本
New York, New York State, 1989
备用版本
Elsevier Ltd., New York, 1971
备用版本
First Edition, 1971
备用版本
2, 20140510
元数据中的注释
Highest quality scan available. Includes bibliographical references (page 429) and index.
元数据中的注释
archive.org
元数据中的注释
Bibliography: p. [429]
元数据中的注释
Bibliography: p. [429].
Reprint. Originally published: New York : Academic Press, 1971.
Includes index.
备用描述
Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric.<br><br>This book is organized into three chapters. Chapter 1 discusses nonmetric affine geometry, while Chapter 2 reviews inner products of vector spaces. The metric affine geometry is treated in Chapter 3. This text specifically discusses the concrete model for affine space, dilations in terms of coordinates, parallelograms, and theorem of Desargues. The inner products in terms of coordinates and similarities of affine spaces are also elaborated. <br><br>The prerequisites for this publication are a course in linear algebra and an elementary course in modern algebra that includes the concepts of group, normal subgroup, and quotient group.<br><br>This monograph is suitable for students and aspiring geometry high school teachers.
备用描述
Affine Geometry -- Metric Vector Spaces -- Metric Affine Spaces. [by] Ernst Snapper [and] Robert J. Troyer. Bibliography: P. [429]
开源日期
2025-04-27
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