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Download Geometric Transformations fb2, epub

by Michael E Mortenson

Download Geometric Transformations fb2, epub

ISBN: 0831130571
Author: Michael E Mortenson
Language: English
Publisher: Industrial Press, Inc.; 1st edition (January 1, 1995)
Pages: 384
Category: Science & Mathematics
Subcategory: Other
Rating: 4.1
Votes: 227
Size Fb2: 1895 kb
Size ePub: 1530 kb
Size Djvu: 1890 kb
Other formats: doc lrf lit mobi


The book initially examines the history and content of geometry before discussing the theory of transformations and vector spaces.

by. Michael E Mortenson (Author). Find all the books, read about the author, and more. The book initially examines the history and content of geometry before discussing the theory of transformations and vector spaces. It then examines the synthetic and analytic modes of expressing transformations before beginning analytical studies. Affine transformations are then covered including rigid-body transformations, homogeneous coordinates, transformation matrices, reflections, and dilations (including isotropic varieties and shear.

He gives understandable interpretations of how matrices are used to represent different types of transformations. The underlying geometrical rationale is clear.

Mortenson is a graduate of the UCLA School of Engineering. He gives understandable interpretations of how matrices are used to represent different types of transformations. En route, the reader is gently introduced to group theory.

Download books for free. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right.

Describes how geometric objects may change position, orientation, or even shape when subjected to mathematical operations, while properties characterizing their geometric identity and integrity remain unchanged. Presents eigenvalues, eigenvectors, and tensors in a way that makes it easier for readers to understand.

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A geometric transformation is any bijection of a set having some geometric structure to itself or another such set. Specifically, "A geometric transformation is a function whose domain and range are sets of points. Most often the domain and range of a geometric transformation are both R2 or both R3. Often, geometric transformations are required to be 1-1 functions, so that they have inverses. The study of geometry may be approached via the study of these transformations.

MICHAEL E. MORTENSON writes and consults in geometric modeling and CAD/CAM.

Rent Geometric Transformations at Chegg. com and save up to 80% off list price and 90% off used textbooks. Author Mortenson, Michael E. ISBN 0831130571. ISBN13: 9780831130572. More Books . ABOUT CHEGG.

Geometric Transformations for 3D Modelling. By (author) Michael E. Mortenson.

Gives the reader a full understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relationships between transformations. Describes how geometric objects, or things represented as such, when subjected to mathematical operations called geometric transformations, may change position, orientation, or shape even though the properties that characterize their geometric identity and integrity remain unchanged or invariant.

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