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Author : D.C. Heath and Company
Publisher : Unknown
Page : 128 pages
File Size : 51,7 Mb
Release : 1996
Category : Algebra
ISBN : 0669376914
Author : Ron Larson
Publisher : Unknown
Page : 0 pages
File Size : 43,9 Mb
Release : 1996
Category : Algebra
ISBN : 0669376906
Author : Richard Noss,Celia Hoyles
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789400916968
This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.
Author : Mark V. Lawson
Publisher : CRC Press
Page : 383 pages
File Size : 53,8 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9781482246506
Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first several chapters cover foundational topics, including the importance of proofs and properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solution of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra
Author : Chuanming Zong
Publisher : Cambridge University Press
Page : 196 pages
File Size : 45,7 Mb
Release : 2006-02-02
Category : Mathematics
ISBN : 0521855357
Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.
Author : Alan F. Beardon
Publisher : Cambridge University Press
Page : 340 pages
File Size : 40,6 Mb
Release : 2005-05-12
Category : Mathematics
ISBN : 9781139443494
Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.
Author : Leonard Mlodinow
Publisher : Simon and Schuster
Page : 326 pages
File Size : 55,8 Mb
Release : 2010-09-28
Category : Science
ISBN : 9781439135372
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.
Author : Katherine Klippert Merseth
Publisher : Teachers College Press
Page : 61 pages
File Size : 50,8 Mb
Release : 2003-01-01
Category : Education
ISBN : 9780807742792
Cases, while always interesting to read, are more effective when discussed under the guidance of a skillful leader. Because many educators are new to the case method of instruction, particularly in the subject area of secondary mathematics, this facilitator's guide is an essential companion to Windows on Teaching Math: Cases of Middle and Secondary Classrooms. In this guide, Katherine Merseth provides specific teaching notes that correspond to each case, helping educators to successfully use Windows on Teaching Math in a teacher education course or professional development workshop.
Author : Leo Dorst,Daniel Fontijne,Stephen Mann
Publisher : Elsevier
Page : 664 pages
File Size : 46,8 Mb
Release : 2010-07-26
Category : Juvenile Nonfiction
ISBN : 9780080553108
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
Author : Klaus Kirsten,Floyd L. Williams
Publisher : Cambridge University Press
Page : 361 pages
File Size : 46,6 Mb
Release : 2010-05-24
Category : Mathematics
ISBN : 9780521199308
Consists of lectures that are part of the MSRI workshops and that introduce students and researchers to the intriguing world of theoretical physics.
Author : Zalman Usiskin,Kathleen Andersen,Nicole Zotto
Publisher : IAP
Page : 347 pages
File Size : 42,6 Mb
Release : 2010-06-01
Category : Education
ISBN : 9781617350085
This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula.
Author : Gerry Stahl
Publisher : Lulu.com
Page : 352 pages
File Size : 41,9 Mb
Release : 2015-10-06
Category : Education
ISBN : 9781329859630
Math games and workbooks with topics for online small groups of teachers or students to collaboratively learn dynamic geometry. The approach is based on "Translating Euclid." The many GeoGebra files used in VMT courses are pictured in the workbook. Several versions of the workbooks are available, including the version used in WinterFest 2013 and analyzed in "Translating Euclid" and "Constructing Dynamic Triangles Together." Also includes the content of a game version that is available as a GeoGebraBook.
Author : Miltiadis D. Lytras,Patricia Ordonez De Pablos,David Avison,Janice Sipior,Qun Jin,Walter Leal,Lorna Uden,Michael Thomas,Sara Cervai,David G. Horner
Publisher : Springer
Page : 724 pages
File Size : 55,7 Mb
Release : 2010-05-30
Category : Computers
ISBN : 9783642131660
It is a great pleasure to share with you the Springer CCIS proceedings of the First International Conference on Reforming Education, Quality of Teaching and Technology-Enhanced Learning: Learning Technologies, Quality of Education, Educational Systems, Evaluation, Pedagogies––TECH-EDUCATION 2010, Which was a part of the World Summit on the Knowledge Society Conference Series. TECH-EDUCATION 2010 was a bold effort aiming to foster a debate on the global need in our times to invest in education. The topics of the conference dealt with six general pillars: Track 1. Quality of Education––A new Vision Track 2. Technology-Enhanced Learning––Learning Technologies––Personalization-E-learning Track 3. Educational Strategies Track 4. Collaborative/ Constructive/ Pedagogical/ Didactical Approaches Track 5. Formal/ Informal/ and Life–Long Learning Perspectives Track 6. Contribution of Education to Sustainable Development Within this general context the Program Committee of the conference invited contributions that fall in to the following list of topics. Track 1: Quality of the Education––A new Vision • Teaching Methodologies and Case Studies • Reforms in Degrees • The European Educational Space • Academic Curricula Designs • Quality of Teaching and Learning • Quality and Academic Assessment • The School / University of the Future • Challenges for Higher Education in the 21st Century • New Managerial Models for Education • Financing the New Model for Education of the 21st Century • The Quality Milestones for Education of the 21st Century • Evaluation in Academia • The Role of Teachers • International Collaborations for Joint Programs/Degrees • Industry–Academia Synergies • Research Laboratories Management
Author : Dietmar Hildenbrand
Publisher : CRC Press
Page : 202 pages
File Size : 53,8 Mb
Release : 2020-12-30
Category : Computers
ISBN : 9781351648219
From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature...I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book, consequently combined with hands on computer based exploration. Without noticing, the active reader will thus educate himself in elementary geometric algebra algorithm development, geometrically intuitive, highly comprehensible, and fully optimized." --Eckhard Hitzer, International Christian University, Tokyo, Japan Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap with an introduction to Geometric Algebra from an engineering/computing perspective. This book is intended to give a rapid introduction to computing with Geometric Algebra and its power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and ruler. The book explores how to compute with these geometric objects, and their geometric operations and transformations, in a very intuitive way. The book follows a top-down approach, and while it focuses on 2D, it is also easily expandable to 3D computations. Algebra in engineering applications such as computer graphics, computer vision and robotics are also covered.
Author : Gert-Martin Greuel,Professor Gerhard Pfister,O Bachmann
Publisher : Unknown
Page : 612 pages
File Size : 49,8 Mb
Release : 2002-08-07
Category : Electronic
ISBN : 3662049643
This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. This is the first handbook/tutorial to extensively deal with SINGULAR. Among the book's most distinctive features is a new, completely unified treatment of the global and local theories. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.