000 03708nam a22005535i 4500
001 978-3-030-43131-0
003 DE-He213
005 20220801215513.0
007 cr nn 008mamaa
008 200418s2020 sz | s |||| 0|eng d
020 _a9783030431310
_9978-3-030-43131-0
024 7 _a10.1007/978-3-030-43131-0
_2doi
050 4 _aTA174
072 7 _aTBD
_2bicssc
072 7 _aTEC016020
_2bisacsh
072 7 _aTBD
_2thema
082 0 4 _a620.0042
_223
100 1 _aAngeles, Jorge.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_944773
245 1 0 _aFundamentals of Geometry Construction
_h[electronic resource] :
_bThe Math Behind the CAD /
_cby Jorge Angeles, Damiano Pasini.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aXX, 168 p. 109 illus., 49 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Tracts in Mechanical Engineering,
_x2195-9870
505 0 _aIntroduction to Geometry Construction -- 2D Objects -- 3D Objects -- Affine Transformations.
520 _aThe textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of “larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD.
650 0 _aEngineering design.
_93802
650 0 _aComputer-aided engineering.
_914016
650 0 _aAlgebraic geometry.
_944774
650 1 4 _aEngineering Design.
_93802
650 2 4 _aComputer-Aided Engineering (CAD, CAE) and Design.
_931735
650 2 4 _aAlgebraic Geometry.
_944775
700 1 _aPasini, Damiano.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_944776
710 2 _aSpringerLink (Online service)
_944777
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030431303
776 0 8 _iPrinted edition:
_z9783030431327
776 0 8 _iPrinted edition:
_z9783030431334
830 0 _aSpringer Tracts in Mechanical Engineering,
_x2195-9870
_944778
856 4 0 _uhttps://doi.org/10.1007/978-3-030-43131-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c77558
_d77558