书目名称 | Fundamentals of Geometry Construction |
副标题 | The Math Behind the |
编辑 | Jorge Angeles,Damiano Pasini |
视频video | |
概述 | 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 |
丛书名称 | Springer Tracts in Mechanical Engineering |
图书封面 |  |
描述 | .The 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 extrem |
出版日期 | Textbook 2020 |
关键词 | 3D Objects; CAD software; geometric objects; affine transformations; Vector Algebra; Linear Algebra; engin |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-43131-0 |
isbn_softcover | 978-3-030-43133-4 |
isbn_ebook | 978-3-030-43131-0Series ISSN 2195-9862 Series E-ISSN 2195-9870 |
issn_series | 2195-9862 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |