Calculus for Computer Graphics

Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems....

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Vince, John (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:2nd ed. 2019.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03646nam a2200457 4500
001 978-3-030-11376-6
003 DE-He213
005 20191025221430.0
007 cr nn 008mamaa
008 190312s2019 gw | s |||| 0|eng d
020 |a 9783030113766  |9 978-3-030-11376-6 
024 7 |a 10.1007/978-3-030-11376-6  |2 doi 
040 |d GrThAP 
050 4 |a T385 
072 7 |a UML  |2 bicssc 
072 7 |a COM012000  |2 bisacsh 
072 7 |a UML  |2 thema 
082 0 4 |a 006.6  |2 23 
100 1 |a Vince, John.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Calculus for Computer Graphics  |h [electronic resource] /  |c by John Vince. 
250 |a 2nd ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a XVII, 303 p. 179 illus., 178 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Introduction -- Functions -- Limits and Derivatives -- Derivatives and Antiderivatives -- Higher Derivatives -- Partial Derivatives -- Integral Calculus -- Area Under a Graph -- Are Length and Parameterisation of Curves -- Surface Area -- Volume -- Vector-Valued Functions -- Tangent and Normal Vectors -- Continuity -- Curvature -- Conclusion. . 
520 |a Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function's derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred and seventy colour illustrations. This book complements the author's other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation. 
650 0 |a Computer graphics. 
650 0 |a Computer science-Mathematics. 
650 0 |a Computer mathematics. 
650 1 4 |a Computer Graphics.  |0 http://scigraph.springernature.com/things/product-market-codes/I22013 
650 2 4 |a Mathematical Applications in Computer Science.  |0 http://scigraph.springernature.com/things/product-market-codes/M13110 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783030113759 
776 0 8 |i Printed edition:  |z 9783030113773 
856 4 0 |u https://doi.org/10.1007/978-3-030-11376-6  |z Full Text via HEAL-Link 
912 |a ZDB-2-SCS 
950 |a Computer Science (Springer-11645)