The Resource Clifford algebra to geometric calculus : a unified language for mathematics and physics, by David Hestenes and Garret Sobczyk

Clifford algebra to geometric calculus : a unified language for mathematics and physics, by David Hestenes and Garret Sobczyk

Label
Clifford algebra to geometric calculus : a unified language for mathematics and physics
Title
Clifford algebra to geometric calculus
Title remainder
a unified language for mathematics and physics
Statement of responsibility
by David Hestenes and Garret Sobczyk
Creator
Contributor
Subject
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 n-space; 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 coordinate-free 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 n-dimension spaces and explicit integral formula for the inverse of a transformation; a new approach to Lie groups and Lie algebras. --From cover
Related
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1933-
http://library.link/vocab/creatorName
Hestenes, David
Index
index present
LC call number
QA199
LC item number
.H47 1984
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1943-
http://library.link/vocab/relatedWorkOrContributorName
Sobczyk, Garret
http://library.link/vocab/subjectName
  • Clifford algebras
  • Calculus
  • algèbre géométrique
  • variété vectorielle
  • géométrie différentielle
  • théorie intégration
  • fonction linéaire
  • dérivation
  • groupe Lie
  • algèbre Lie
  • algèbre Clifford
  • Clifford, Algèbres de
  • Calcul infinitésimal
  • Calculus
  • Clifford algebras
  • Geometria Diferencial Classica
  • Clifford, Algèbres de
  • Calcul
Label
Clifford algebra to geometric calculus : a unified language for mathematics and physics, by David Hestenes and Garret Sobczyk
Instantiates
Publication
Note
Originally published in hardcover, 1984. Reprinted in paperback, 1987. Transferred to digital printing
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- 1. Geometric algebra -- 2. Differentiation -- 3. Linear and multilinear functions -- 4. Calculus on vector manifolds -- 5. Differential geometry of vector manifolds -- 6. The method of mobiles -- 7. Directed integration theory -- 8. Lie groups and Lie algebras
Dimensions
25 cm.
Extent
xviii, 314 pages
Isbn
9789027725615
Isbn Type
(pbk.)
Lccn
84008235
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)10726931
  • (OCoLC)ocm10726931
Label
Clifford algebra to geometric calculus : a unified language for mathematics and physics, by David Hestenes and Garret Sobczyk
Publication
Note
Originally published in hardcover, 1984. Reprinted in paperback, 1987. Transferred to digital printing
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- 1. Geometric algebra -- 2. Differentiation -- 3. Linear and multilinear functions -- 4. Calculus on vector manifolds -- 5. Differential geometry of vector manifolds -- 6. The method of mobiles -- 7. Directed integration theory -- 8. Lie groups and Lie algebras
Dimensions
25 cm.
Extent
xviii, 314 pages
Isbn
9789027725615
Isbn Type
(pbk.)
Lccn
84008235
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)10726931
  • (OCoLC)ocm10726931

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