Solid Analytic Geometry
The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study.
Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent chapters offer an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions of quadric surfaces in standard position. An exploration of the theory of matrices follows, with applications to the three-dimensional case of quadric surfaces. The text concludes with a survey of spherical coordinates and elements of projective geometry.
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Solid Analytic Geometry
The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study.
Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent chapters offer an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions of quadric surfaces in standard position. An exploration of the theory of matrices follows, with applications to the three-dimensional case of quadric surfaces. The text concludes with a survey of spherical coordinates and elements of projective geometry.
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Solid Analytic Geometry

Solid Analytic Geometry

by Abraham Adrian Albert
Solid Analytic Geometry

Solid Analytic Geometry

by Abraham Adrian Albert

Paperback(First Edition, First ed.)

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Overview

The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study.
Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent chapters offer an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions of quadric surfaces in standard position. An exploration of the theory of matrices follows, with applications to the three-dimensional case of quadric surfaces. The text concludes with a survey of spherical coordinates and elements of projective geometry.

Product Details

ISBN-13: 9780486810263
Publisher: Dover Publications
Publication date: 09/21/2016
Series: Dover Books on Mathematics
Edition description: First Edition, First ed.
Pages: 176
Product dimensions: 5.40(w) x 8.40(h) x 0.40(d)

About the Author

Abraham Adrian Albert (1905–72) taught at the University of Chicago for 40 years and was Chairman of the Mathematics Department from 1958–62. His other highly regarded texts include the Dover release An Introduction to Finite Projective Planes.

Table of Contents

Preface
1. Coordinates and Lines
2. Planes
3. Surfaces and Curves
4. Spheres
5. Quadric Surfaces
6. Theory of Matrices
7. Rotations of Axes and Applications
8. Spherical Coordinates
9. Elements of Projective Geometry
Index


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