Affine Maps Euclidean Motions And Quadrics PDF Download
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Author | : Agustí Reventós Tarrida |
Publisher | : Springer Science & Business Media |
Total Pages | : 420 |
Release | : 2011-06-01 |
Genre | : Mathematics |
ISBN | : 0857297104 |
Download Affine Maps, Euclidean Motions and Quadrics Book in PDF, ePub and Kindle
Affine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering. This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. A high level of detail and generality is a key feature unmatched by other books available. Such intricacy makes this a particularly accessible teaching resource as it requires no extra time in deconstructing the author’s reasoning. The provision of a large number of exercises with hints will help students to develop their problem solving skills and will also be a useful resource for lecturers when setting work for independent study. Affinities, Euclidean Motions and Quadrics takes rudimentary, and often taken-for-granted, knowledge and presents it in a new, comprehensive form. Standard and non-standard examples are demonstrated throughout and an appendix provides the reader with a summary of advanced linear algebra facts for quick reference to the text. All factors combined, this is a self-contained book ideal for self-study that is not only foundational but unique in its approach.’ This text will be of use to lecturers in linear algebra and its applications to geometry as well as advanced undergraduate and beginning graduate students.
Author | : Leslie Hogben |
Publisher | : CRC Press |
Total Pages | : 1838 |
Release | : 2013-11-26 |
Genre | : Mathematics |
ISBN | : 1466507292 |
Download Handbook of Linear Algebra Book in PDF, ePub and Kindle
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and
Author | : Hartmut Prautzsch |
Publisher | : CRC Press |
Total Pages | : 424 |
Release | : 2018-10-08 |
Genre | : Computers |
ISBN | : 1439864616 |
Download Geometric Concepts for Geometric Design Book in PDF, ePub and Kindle
This book is a comprehensive tool both for self-study and for use as a text in classical geometry. It explains the concepts that form the basis for computer-aided geometric design.
Author | : G. Farin |
Publisher | : Elsevier |
Total Pages | : 849 |
Release | : 2002-08-13 |
Genre | : Computers |
ISBN | : 0444511040 |
Download Handbook of Computer Aided Geometric Design Book in PDF, ePub and Kindle
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.
Author | : Clayton W. Dodge |
Publisher | : Courier Corporation |
Total Pages | : 310 |
Release | : 2004-01-01 |
Genre | : Mathematics |
ISBN | : 9780486434766 |
Download Euclidean Geometry and Transformations Book 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.
Author | : P. S. Modenov |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : |
ISBN | : |
Download Euclidean and Affine Transformations Book in PDF, ePub and Kindle
Author | : Boris Odehnal |
Publisher | : Springer Nature |
Total Pages | : 606 |
Release | : 2020-04-21 |
Genre | : Mathematics |
ISBN | : 3662610531 |
Download The Universe of Quadrics Book in PDF, ePub and Kindle
The Universe of Quadrics This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.
Author | : W. Szmielew |
Publisher | : Springer |
Total Pages | : 216 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : |
Download From Affine to Euclidean Geometry Book in PDF, ePub and Kindle
Author | : Richard Hartley |
Publisher | : Cambridge University Press |
Total Pages | : 676 |
Release | : 2004-03-25 |
Genre | : Computers |
ISBN | : 1139449141 |
Download Multiple View Geometry in Computer Vision Book in PDF, ePub and Kindle
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.
Author | : Ėrnest Borisovich Vinberg |
Publisher | : American Mathematical Soc. |
Total Pages | : 526 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821833189 |
Download A Course in Algebra Book in PDF, ePub and Kindle
Great book! The author's teaching experinece shows in every chapter. --Efim Zelmanov, University of California, San Diego Vinberg has written an algebra book that is excellent, both as a classroom text or for self-study. It is plain that years of teaching abstract algebra have enabled him to say the right thing at the right time. --Irving Kaplansky, MSRI This is a comprehensive text on modern algebra written for advanced undergraduate and basic graduate algebra classes. The book is based on courses taught by the author at the Mechanics and Mathematics Department of Moscow State University and at the Mathematical College of the Independent University of Moscow. The unique feature of the book is that it contains almost no technically difficult proofs. Following his point of view on mathematics, the author tried, whenever possible, to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. Another important feature is that the book presents most of the topics on several levels, allowing the student to move smoothly from initial acquaintance to thorough study and deeper understanding of the subject. Presented are basic topics in algebra such as algebraic structures, linear algebra, polynomials, groups, as well as more advanced topics like affine and projective spaces, tensor algebra, Galois theory, Lie groups, associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. Written with extreme care and supplied with more than 200 exercises and 70 figures, the book is also an excellent text for independent study.