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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.
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.
Includes exercises at the end of each chapter
Topics and items usually left out in undergraduate math courses are brought into the
Provides a few suggested readings for the benefit of instructors and students
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Springer Tracts in Mechanical Engineering |
| Inhalt: |
xx
168 S. 60 s/w Illustr. 49 farbige Illustr. 168 p. 109 illus. 49 illus. in color. |
| ISBN-13: | 9783030431303 |
| ISBN-10: | 3030431304 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Pasini, Damiano
Angeles, Jorge |
| Auflage: | 1st ed. 2020 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Tracts in Mechanical Engineering |
| Maße: | 241 x 160 x 16 mm |
| Von/Mit: | Damiano Pasini (u. a.) |
| Erscheinungsdatum: | 18.04.2020 |
| Gewicht: | 0,453 kg |
Includes exercises at the end of each chapter
Topics and items usually left out in undergraduate math courses are brought into the
Provides a few suggested readings for the benefit of instructors and students
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Springer Tracts in Mechanical Engineering |
| Inhalt: |
xx
168 S. 60 s/w Illustr. 49 farbige Illustr. 168 p. 109 illus. 49 illus. in color. |
| ISBN-13: | 9783030431303 |
| ISBN-10: | 3030431304 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Pasini, Damiano
Angeles, Jorge |
| Auflage: | 1st ed. 2020 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Tracts in Mechanical Engineering |
| Maße: | 241 x 160 x 16 mm |
| Von/Mit: | Damiano Pasini (u. a.) |
| Erscheinungsdatum: | 18.04.2020 |
| Gewicht: | 0,453 kg |
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