Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Tag Display
Catalogue Tag Display
MARC 21
Geometric Algebra with Applications in Science and Engineering
Tag
Description
020
$a9781461201595$9978-1-4612-0159-5
082
$a519$223
099
$aOnline resource: Springer
245
$aGeometric Algebra with Applications in Science and Engineering$h[EBook] /$cedited by Eduardo Bayro Corrochano, Garret Sobczyk.
260
$aBoston, MA :$bBirkhäuser Boston :$bImprint: Birkhäuser,$c2001.
300
$aXXVI, 592 p.$bonline resource.
336
$atext$btxt$2rdacontent
337
$acomputer$bc$2rdamedia
338
$aonline resource$bcr$2rdacarrier
505
$a
I Advances in Geometric Algebra -- 1 Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry -- 2 Universal Geometric Algebra -- 3 Realizations of the Conformal Group -- 4 Hyperbolic Geometry -- II Theorem Proving -- 5 Geometric Reasoning With Geometric Algebra -- 6 Automated Theorem Proving -- III Computer Vision -- 7 The Geometry Algebra of Computer Vision -- 8 Using Geometric Algebra for Optical Motion Capture -- 9 Bayesian Inference and Geometric Algebra: An Application to Camera Localization -- 10 Projective Reconstruction of Shape and Motion Using Invariant Theory -- IV Robotics -- 11 Robot Kinematics and Flags -- 12 The Clifford Algebra and the Optimization of Robot Design -- 13 Applications of Lie Algebras and the Algebra of Incidence -- V Quantum and Neural Computing, and Wavelets -- 14 Geometric Algebra in Quantum Information Processing by Nuclear Magnetic Resonance -- 15 Geometric Feedforward Neural Networks and Support Mul- tivector Machines -- 16 Image Analysis Using Quaternion Wavelets -- VI Applications to Engineering and Physics -- 17 Objects in Contact: Boundary Collisions as Geometric Wave Propagation -- 18 Modern Geometric Calculations in Crystallography -- 19 Quaternion Optimization Problems in Engineering -- 20 Clifford Algebras in Electrical Engineering -- 21 Applications of Geometric Algebra in Physics and Links With Engineering -- VII Computational Methods in Clifford Algebras -- 22 Clifford Algebras as Projections of Group Algebras -- 23 Counterexamples for Validation and Discovering of New Theorems -- 24 The Making of GABLE: A Geometric Algebra Learning Environment in Matlab -- 25 Helmstetter Formula and Rigid Motions with CLIFFORD -- References.
520
$a
The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the ar ticles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for math ematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. Geometric algebra provides a rich, general mathematical framework for the develop ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers.
538
$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700
$aCorrochano, Eduardo Bayro.$eeditor.
700
$aSobczyk, Garret.$eeditor.
710
$aSpringerLink (Online service)
856
$u
http://dx.doi.org/10.1007/978-1-4612-0159-5
Quick Search
Search for