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Vector analysis for computer graphics

Vince, John.

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Vector analysis for computer graphics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Vector analysis for computer graphics/ by John Vince.
Author:	Vince, John.
Published:	London :Springer London : : 2021.,
Description:	xiii, 246 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- History of Vector Analysis -- Linear Equations -- Vector Algebra -- Products of Vectors -- Differentiating Vector-Valued Functions -- Vector Differential Operators -- Tangent and Normal Vectors -- Straight Lines -- The Plane -- Intersections -- Rotating Vectors -- Index.
Contained By:	Springer Nature eBook
Subject:	Computer graphics - Mathematics. -
Online resource:	https://doi.org/10.1007/978-1-4471-7505-6
ISBN:	9781447175056

Vector analysis for computer graphics
Vince, John.

Vector analysis for computer graphics[electronic resource] /by John Vince. - Second edition. - London :Springer London :2021. - xiii, 246 p. :ill., digital ;24 cm.

Preface -- History of Vector Analysis -- Linear Equations -- Vector Algebra -- Products of Vectors -- Differentiating Vector-Valued Functions -- Vector Differential Operators -- Tangent and Normal Vectors -- Straight Lines -- The Plane -- Intersections -- Rotating Vectors -- Index.

This second edition has been completely restructured, resulting in a compelling description of vector analysis from its first appearance as a byproduct of Hamilton's quaternions to the use of vectors in solving geometric problems. The result provides readers from different backgrounds with a complete introduction to vector analysis. The author shows why vectors are so useful and how it is possible to develop analytical skills in manipulating vector algebra. Using over 150 full-colour illustrations, the author demonstrates in worked examples how this relatively young branch of mathematics has become a powerful and central tool in describing and solving a wide range of geometric problems. These may be in the form of lines, surfaces and volumes, which may touch, collide, intersect, or create shadows upon complex surfaces. The book is divided into eleven chapters covering the history of vector analysis, linear equations, vector algebra, vector products, differentiating vector-valued functions, vector differential operators, tangent and normal vectors, straight lines, planes, intersections and rotating vectors. The new chapters are about the history, differentiating vector-valued functions, differential operators and tangent and normal vectors. The original chapters have been reworked and illustrated.

ISBN: 9781447175056

Standard No.: 10.1007/978-1-4471-7505-6doiSubjects--Topical Terms:

615086
Computer graphics
--Mathematics.

LC Class. No.: T385

Dewey Class. No.: 006.6

Vector analysis for computer graphics
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100 1 $a Vince, John. $3 896095
245 1 0 $a Vector analysis for computer graphics $h [electronic resource] / $c by John Vince.
250 $a Second edition.
260 $a London : $b Springer London : $b Imprint: Springer, $c 2021.
300 $a xiii, 246 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- History of Vector Analysis -- Linear Equations -- Vector Algebra -- Products of Vectors -- Differentiating Vector-Valued Functions -- Vector Differential Operators -- Tangent and Normal Vectors -- Straight Lines -- The Plane -- Intersections -- Rotating Vectors -- Index.
520 $a This second edition has been completely restructured, resulting in a compelling description of vector analysis from its first appearance as a byproduct of Hamilton's quaternions to the use of vectors in solving geometric problems. The result provides readers from different backgrounds with a complete introduction to vector analysis. The author shows why vectors are so useful and how it is possible to develop analytical skills in manipulating vector algebra. Using over 150 full-colour illustrations, the author demonstrates in worked examples how this relatively young branch of mathematics has become a powerful and central tool in describing and solving a wide range of geometric problems. These may be in the form of lines, surfaces and volumes, which may touch, collide, intersect, or create shadows upon complex surfaces. The book is divided into eleven chapters covering the history of vector analysis, linear equations, vector algebra, vector products, differentiating vector-valued functions, vector differential operators, tangent and normal vectors, straight lines, planes, intersections and rotating vectors. The new chapters are about the history, differentiating vector-valued functions, differential operators and tangent and normal vectors. The original chapters have been reworked and illustrated.
650 0 $a Computer graphics $x Mathematics. $3 615086
650 0 $a Vector analysis. $3 524909
650 1 4 $a Computer Graphics. $3 892532
650 2 4 $a Algebraic Geometry. $3 893861
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856 4 0 $u https://doi.org/10.1007/978-1-4471-7505-6
950 $a Computer Science (SpringerNature-11645)