Geometric Algebra for Computer Science - 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 Algebra for Computer Science write by Leo Dorst. This book was released on 2010-07-26. Geometric Algebra for Computer Science available in PDF, EPUB and Kindle. Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA
Algebra for Computer Science
Algebra for Computer Science - 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 Algebra for Computer Science write by Lars Garding. This book was released on 2012-12-06. Algebra for Computer Science available in PDF, EPUB and Kindle. The aim of this book is to teach the reader the topics in algebra which are useful in the study of computer science. In a clear, concise style, the author present the basic algebraic structures, and their applications to such topics as the finite Fourier transform, coding, complexity, and automata theory. The book can also be read profitably as a course in applied algebra for mathematics students.
Universal Algebra for Computer Scientists
Universal Algebra for Computer Scientists - 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 Universal Algebra for Computer Scientists write by Wolfgang Wechler. This book was released on 2012-12-06. Universal Algebra for Computer Scientists available in PDF, EPUB and Kindle. A new model-theoretic approach to universal algebra is offered in this book. Written for computer scientists, it presents a systematic development of the methods and results of universal algebra that are useful in a variety of applications in computer science. The notation is simple and the concepts are clearly presented. The book concerns the algebraic characterization of axiomatic classes of algebras (equational, implicational, and universal Horn classes) by closure operators generalizing the famous Birkhoff Variety Theorem, and the algebraic characterization of the related theories. The book also presents a thorough study of term rewriting systems. Besides basic notions, the Knuth-Bendix completion procedure and termination proof methods are considered. A third main topic is that of fixpoint techniques and complete ordered algebras. Algebraic specifications of abstract data types and algebraic semantics of recursive program schemes are treated as applications. The book is self-contained and suitable both as a textbook for graduate courses and as a reference for researchers.
Coding the Matrix
Coding the Matrix - 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 Coding the Matrix write by Philip N. Klein. This book was released on 2013-07. Coding the Matrix available in PDF, EPUB and Kindle. An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program" A new edition of this text, incorporating corrections and an expanded index, has been issued as of September 4, 2013, and will soon be available on Amazon.
Geometric Algebra Computing
Geometric Algebra Computing - 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 Algebra Computing write by Eduardo Bayro-Corrochano. This book was released on 2010-05-19. Geometric Algebra Computing available in PDF, EPUB and Kindle. This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.
