Operating Systems
Programming Languages
Microsoft Technologies
Computer Science
Software Engineering
Web Programming
Web Technologies

Contact Us | What's New | Missing Link | Feedback


Book Title : Grassmann Algebra
eBook download format(s) : htm
Author(s) : John Browne
Section : Mathematics
Book Review:

Book Description
Grassmann algebra is a mathematical system which predates vector algebra, and yet is more powerful than it, subsuming and unifying much of the algebra used by engineers and physicists. It has remained relatively unknown since its discovery over 160 years ago in Hermann GŁnther Grassmann's Ausdehnungslehre, yet is now emerging as a potential mathematical system for describing such diverse applications as robotic manipulators and fundamental physical theories.

The intrinsic power of Grassmann algebra arises from its fundamental product operation, the exterior product. The exterior product codifies the property of linear dependence, so essential for modern applied mathematics, directly into the algebra. Simple non-zero elements of the algebra may be viewed as representing constructs of linearly independent elements. For example, a simple bivector is the exterior product of two vectors; a line is the exterior product of two points and a plane is the exterior product of three points.

The primary focus of this book is to provide a readable account in modern notation of Grassmann's major algebraic contributions to mathematics and science. This book tries to make it accessible to scientists and engineers, students and professionals alike, by avoiding all mathematical terminology which does not make an essential contribution to understanding the basic concepts. The only assumptions for the reader's background is that they have some familiarity with basic linear algebra.

The secondary concern of this book is to provide an environment for exploring applications of the Grassmann algebra. For general applications in higher dimensional spaces, computations by hand in any algebra become tedious, indeed limiting, thus restricting the hypotheses that can be explored. For this reason the book will include a package for exploring Grassmann algebra, called GrassmannAlgebra, which has been developed in Mathematica. Readers can read the book without using the package, or use the package to extend the examples in the text, experiment with hypotheses, or explore their own interests.

add to                 Digg!

You may use anyone of the download options

eBook VersionLook @ Amazon
Front Cover

Missing Link?, Report It and you may wish to find Similar Books from amazon.

Tell a Friend!

Similar Book titles in Mathematics section:
A Course in Universal Algebra
Elementary Algebra with Applications, 3rd Edition
A First Course in Linear Algebra
Linear Algebra
A Computational Introduction to Number Theory and Algebra
Algebra: Abstract And Concrete
Fundamental Problems in Algorithmic Algebra
Introduction to Matrix Algebra
The Structure of Finite Algebras (Contemporary Mathematics)
A Course In Commutative Algebra
Elementary Linear Algebra
Elementary Linear Algebra
Elements of Abstract and Linear Algebra
Applied Abstract Algebra
Abstract Algebra: The Basic Graduate Year
Linear Algebra - An Introduction to Linear Algebra for Pre-Calculus Students
Linear Algebra Done Wrong
Computations in Algebraic Geometry with Macaulay 2
Linear Algebra and Matrices
Linear Algebra for Informatics
From Geometry to Algebra - An Introduction to Linear Algebra
Matrix Analysis and Applied Linear Algebra
An Introduction To Linear Algebra

Similar Book titles in Other sections:

Section: CS -> Theory
Templates for the Solution of Algebraic Eigenvalue Problems: a Practical Guide

Section: Miscellaneous
Cryptanalysis of RSA Using Algebraic And Lattice Methods

Section: Other Programming
BASIC, the Elementary Algebraic Language

Similar Books from Amazon :

Tell a Friend!

©2008 - Home - Privacy Policy - Program Policy, Terms and Conditions