Geometric Transformations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Transformations write by Isaak Moiseevich I︠A︡glom. This book was released on 1962. Geometric Transformations available in PDF, EPUB and Kindle.
Geometric Transformations
Geometric Transformations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Transformations write by Răzvan Gelca. This book was released on 2022-02-16. Geometric Transformations available in PDF, EPUB and Kindle. This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public. Talented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work.
Geometric Transformations for 3D Modeling
Geometric Transformations for 3D Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Transformations for 3D Modeling write by Michael E. Mortenson. This book was released on 2007. Geometric Transformations for 3D Modeling available in PDF, EPUB and Kindle. Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformations. Presenting the more abstract foundation material in the first three chapters, Geometric Transformations in 3D Modeling reduces the clutter of theoretical derivation and development in the remainder of the text and introduces the operational and more application-oriented tools and concepts as the need arises. It assumes the reader has already taken analytic geometry and first-year calculus and has a working knowledge of basic matrix and vector algebra. This self-contained resource is sure to appeal to those working in 3D modeling, geometric modeling, computer graphics, animation, robotics, and kinematics. Explores and develops the subject in much greater breadth and depth than other books, offering readers a better understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relations between transformations. 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. Contains revised and improved figures, with many in color to highlight important features. Provides exercises throughout nearly all of the chapters whose answers are found at the end of the book.
Transformation Geometry
Transformation Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transformation Geometry write by George E. Martin. This book was released on 2012-12-06. Transformation Geometry available in PDF, EPUB and Kindle. Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.
Euclidean Geometry and Transformations
Euclidean Geometry and Transformations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Euclidean Geometry and Transformations write by Clayton W. Dodge. This book was released on 2012-04-26. Euclidean Geometry and Transformations available in PDF, EPUB and Kindle. This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
