Download or read book Geometric Differentiation written by I. R. Porteous and published by Cambridge University Press. This book was released on 2001-12-13 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised version of the popular Geometric Differentiation, first edition.

Download or read book Geometric Algebra for Computer Science written by Leo Dorst and published by Elsevier. This book was released on 2010-07-26 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Covariant Differentiation of Geometric Objects written by A. Szybiak and published by . This book was released on 1967 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differentiation Dictionary A Glossary of 90 Key Terms written by and published by Pieces of Learning. This book was released on with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differentiation in Practice A Resource Guide for Differentiating Curriculum Grades K 5 written by Carol Ann Tomlinson and published by ASCD. This book was released on 2003-06-15 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Join Carol Ann Tomlinson and Caroline Cunningham Eidson in their continuing exploration of how real teachers incorporate differentiation principles and strategies throughout an entire instructional unit. Focusing on the elementary grades, but applicable at all levels, Differentiation in Practice, Grades K-5 will teach anyone interested in designing and implementing differentiated curriculum how to do so or how to do so more effectively. Included are * Annotated lesson plans for differentiated units in language arts, social studies, science, and mathematics. * Samples of differentiated product assignments, learning contracts, rubrics, and homework handouts. * An overview of the non-negotiables in differentiated classrooms and guidelines for using the book as a learning tool. * An extended glossary and recommended readings for further exploration of key ideas and strategies. Each unit highlights underlying standards, delineates learning goals, and takes you step by step through the instructional process. Unit developers provide running commentary on their use of flexible grouping and pacing, tiered assignments and assessments, learning contracts, and numerous other strategies. The models and insight presented will inform your own differentiation efforts and help you meet the challenge of mixed-ability classrooms with academically responsive curriculum appropriate for all learners. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Download or read book Differentiating Instruction With Menus written by Laurie E. Westphal and published by Routledge. This book was released on 2021-09-03 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differentiating Instruction With Menus: Geometry offers teachers everything needed to create a student-centered learning environment based on choice. This book:

Download or read book Computer Algebra and Geometric Algebra with Applications written by Hongbo Li and published by Springer Science & Business Media. This book was released on 2005-06-21 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed joint post-proceedings of the 6th International Workshop on Mathematics Mechanization, IWMM 2004, held in Shanghai, China in May 2004 and the International Workshop on Geometric Invariance and Applications in Engineering, GIAE 2004, held in Xian, China in May 2004. The 30 revised full papers presented were rigorously reviewed and selected from 65 presentations given at the two workshops. The papers are devoted to topics such as applications of computer algebra in celestial and engineering multibody systems, differential equations, computer vision, computer graphics, and the theory and applications of geometric algebra in geometric reasoning, robot vision, and computer graphics.

Download or read book Topics in Differential Geometry A New Approach Using D Differentiation written by Donal J. Hurley and published by Springer Science & Business Media. This book was released on 2002 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: D-differentiation is a unified operation that enables aspects of differential geometry to be developed and presented from a new perspective. This book is the first comprehensive and self-contained treatment of this new method. It demonstrates, concisely but without sacrificing rigour or intelligibility, how even elementary concepts in differential geometry can be reformulated to obtain new and valuable insights. In addition, D-differentiation has applications in several areas of physics, such as classical mechanics, solid-state physics and general relativity. This book will prove useful to all users of D-differentiation - from advanced graduate students onwards - and to those researching into new approaches to some branches of physics and mathematics.

Download or read book An Introduction to Differentiable Manifolds and Riemannian Geometry written by and published by Academic Press. This book was released on 1975-08-22 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Differentiable Manifolds and Riemannian Geometry

Download or read book A Course in Metric Geometry written by Dmitri Burago and published by American Mathematical Society. This book was released on 2022-01-27 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.

Download or read book Activities for a Differentiated Classroom Level 4 written by Wendy Conklin and published by Teacher Created Materials. This book was released on 2011-02-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easily implement grade appropriate lessons suitable for Grade 4 classrooms. Based on current research, these easy-to-use lessons are based on a variety of strategies to differentiate your instruction. Activities are included to allow access to all learners. Includes interactive whiteboard-compatible Resource CD with sample projects, templates, and assessment rubrics. 160pp. plus Teacher Resource CD.

Download or read book Geometry Geodesics and the Universe written by Robert G. Bill and published by Xlibris Corporation. This book was released on 2023-03-19 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of the development of geometry is told as it emerged from the concepts of the ancient Greeks, familiar from high school, to the four-dimensional space-time that is central to our modern vision of the universe. The reader is first reacquainted with the geometric system compiled by Euclid with its postulates thought to be self-evident truths. A particular focus is on Euclid’s fifth postulate, the Parallel Postulate and the many efforts to improve Euclid’s system over hundreds of years by proving it from the first four postulates. Two thousand years after Euclid, in the process that would reveal the Parallel Postulate as an independent postulate, a new geometry was discovered that changed the understanding of geometry and mathematics, while paving the way for Einstein’s General Relativity. The mathematics to describe the non-Euclidean geometries and the geometric universe of General Relativity is initiated in the language of mathematics available to a general audience. The story is told as a mathematical narrative, bringing the reader along step by step with all the background needed in analytic geometry, the calculus, vectors, and Newton’s laws to allow the reader to move forward to the revolutionary extension of geometry by Riemann that would supply Einstein with the language needed to overthrow Newton’s universe. Using the mathematics acquired for Riemannian geometry, the principles behind Einstein’s General Relativity are described and their realization in the Field Equations is presented. From the Field Equations, it is shown how they govern the curved paths of light and that of planets along the geodesics formed from the geometry of space-time, and how they provide a picture of the universe’s birth, expansion, and future. Thus, Euclid’s geometry while no longer thought to spring from perceived absolute truths as the ancients believed, ultimately provided the seed for a new understanding of geometry that in its infinite variety became central to the description of the universe, marking mathematics as a one of the great modes of human expression.

Download or read book Differentiating Instruction with Menus Geometry written by Laurie E. Westphal and published by Routledge. This book was released on 2019-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differentiating Instruction With Menus: Geometry(Grades 9-12) offers teachers everything needed to create a student-centered learning environment based on choice. This book: Uses different types of menus that students can use to select exciting advanced-level products. Features attractive reproducible menus and rubrics. Is based on the levels of Bloom's revised taxonomy. Incorporates different learning styles. Makes incorporating choice into the classroom stress-free for both teachers and their students. Topics addressed include coordinate and transformational geometry, logical arguments and constructions, congruence, similarity, trigonometry, two- and three-dimensional figures, probability, and proofs. These menus can be used to guide students in making decisions as to which products they will develop after studying a major concept or unit. Grades 9ndash;12

Download or read book A Geometric Approach to Differential Forms written by David Bachman and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.

Download or read book Geometric Analysis on Real Analytic Manifolds written by Andrew D. Lewis and published by Springer Nature. This book was released on 2023-12-09 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the book is a variety of descriptions for the topologies for the space of real analytic sections of a real analytic vector bundle and for the space of real analytic mappings between real analytic manifolds. Among the various descriptions for these topologies is a development of geometric seminorms for the space of real analytic sections. To illustrate the techniques in the book, a number of fundamental constructions in differential geometry are shown to induce continuous mappings on spaces of real analytic sections and mappings. Aimed at researchers at the level of Doctoral students and above, the book introduces the reader to the challenges and opportunities of real analytic analysis and geometry.

Download or read book Differential and Integral Calculus written by Clyde Elton Love and published by . This book was released on 1918 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamical Systems and Geometric Mechanics written by Jared Maruskin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-21 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. The first part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the book begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms.