Clifford algebra to geometric calculus : a unified language for mathematics and physics
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The work Clifford algebra to geometric calculus : a unified language for mathematics and physics represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Clifford algebra to geometric calculus : a unified language for mathematics and physics
Resource Information
The work Clifford algebra to geometric calculus : a unified language for mathematics and physics represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Clifford algebra to geometric calculus : a unified language for mathematics and physics
 Title remainder
 a unified language for mathematics and physics
 Statement of responsibility
 by David Hestenes and Garret Sobczyk
 Subject

 Clifford algebras
 Calculus
 groupe Lie
 Clifford algebras
 Clifford, Algèbres de
 Calculus
 Geometria Diferencial Classica
 géométrie différentielle
 variété vectorielle
 Clifford algebras
 algèbre Lie
 algèbre géométrique
 Calcul infinitésimal
 Clifford, Algèbres de
 Calcul
 Mathematics  Functional analysis  Applications of Clifford algebras
 fonction linéaire
 théorie intégration
 Calculus
 dérivation
 Calculus
 algèbre Clifford
 Clifford algebras
 Language
 eng
 Summary
 Geometric Calculus is a language for expressing and analyzing the full range of geometric concepts in mathematics. Clifford Algebra provides the grammar. Complex number, quaternions, matrix algebra, vector, tensor and spinor calculus and differential forms are integrated into a single comprehensive system. The geometric calculus developed in this book has the following features: a systematic development of definitions, concepts and theorems needed to apply the calculus easily and effectively to almost any branch of mathematics or physics; a formulation of linear algebra capable of details computations without matrices or coordinates; new proofs and treatments of canonical forms including an extensive discussion of spinor representations of rotations in Euclidean nspace; a new concept of differentiation which makes it possible to formulate calculus on manifolds and carry out complete calculations of such thinks as the Jacobian of a transformation without resorting to coordinates; a coordinatefree approach to differential geometry featuring a new quantity, the shape tensor, from which the curvature tensor can be computed without a connection; a formulation of integration theory based on a concept of directed measure, with new results including a generalization of Cauchy's integral formula to ndimension spaces and explicit integral formula for the inverse of a transformation; a new approach to Lie groups and Lie algebras. From cover
 Cataloging source
 DLC
 Index
 index present
 LC call number
 QA199
 LC item number
 .H47 1984
 Literary form
 non fiction
 Nature of contents
 bibliography
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