000 | 03218nam a22004935i 4500 | ||
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001 | 978-1-4471-7505-6 | ||
003 | DE-He213 | ||
005 | 20240423125410.0 | ||
007 | cr nn 008mamaa | ||
008 | 210601s2021 xxk| s |||| 0|eng d | ||
020 |
_a9781447175056 _9978-1-4471-7505-6 |
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024 | 7 |
_a10.1007/978-1-4471-7505-6 _2doi |
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050 | 4 | _aT385 | |
072 | 7 |
_aUML _2bicssc |
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072 | 7 |
_aCOM012000 _2bisacsh |
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072 | 7 |
_aUML _2thema |
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082 | 0 | 4 |
_a006.6 _223 |
100 | 1 |
_aVince, John. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aVector Analysis for Computer Graphics _h[electronic resource] / _cby John Vince. |
250 | _a2nd ed. 2021. | ||
264 | 1 |
_aLondon : _bSpringer London : _bImprint: Springer, _c2021. |
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300 |
_aXIII, 246 p. 141 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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505 | 0 | _aPreface -- 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 | _aThis 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 | _aComputer graphics. | |
650 | 0 | _aAlgebraic geometry. | |
650 | 1 | 4 | _aComputer Graphics. |
650 | 2 | 4 | _aAlgebraic Geometry. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9781447175049 |
776 | 0 | 8 |
_iPrinted edition: _z9781447175063 |
776 | 0 | 8 |
_iPrinted edition: _z9781447175070 |
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-1-4471-7505-6 |
912 | _aZDB-2-SCS | ||
912 | _aZDB-2-SXCS | ||
942 | _cSPRINGER | ||
999 |
_c177493 _d177493 |