Analytical geometry

Analytical geometry

by Vaisman, Izu

Type Book
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Title Statements

  • Full title :Analytical geometry / Izu Vaisman.

Edition Statements

  • Publication Date:©1997.

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:Singapore
  • Language:eng
  • Publication Date:©1997.

The Physical Object

  • Description:1 online resource.

Edition Identifiers

  • ISBN:9789812835338, 9812835334
  • oclc:on1020606087
  • LC Classification:QA551.V24 1997
  • Dewey Decimal:516.3

Table of Contents

Intro; Contents; Foreword; ANALYTICAL GEOMETRY; Chapter 1 The Algebra of Vectors; 1.1 Free Vectors; 1.2 Linear Operations with Vectors; 1.3 Coordinates of Vectors and Points; 1.4 Products of Vectors; 1.5 A Definition of Affine and Euclidean Space; Chapter 2 Linear Geometry; 2.1 Curves and Surfaces; 2.2 Equations of Straight Lines and Planes; 2.3 Geometric Problems on Straight Lines and Planes; Chapter 3 Quadratic Geometry; 3.1 Circles and Spheres; 3.2 Conies and Quadrics; 3.3 Conies and Quadrics: general theory; 3.4 Classifications of Conies and Quadrics; Chapter 4 Geometric Transformations.

4.1 Generalities4.2 Affine Transformations; 4.3 Orthogonal Transformations; Chapter 5 Projective Geometry; 5.1 Projective Incidence Properties; 5.2 Homogeneous Coordinates; 5.3 Cross Ratios and Projective Frames; 5.4 Conies, Quadrics, Projective Transformations; AppendixAnalytical Geometry via Maple; Solutions of Exercises and Problems; Bibliography; Index.

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