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Clifford algebra to geometric calculus : a unified language for mathematics and physics Pbk. ed

Clifford algebra to geometric calculus : a unified language for mathematics and physics Pbk. ed (3회 대출)

자료유형
단행본
개인저자
Hestenes, David , 1933-. Sobczyk, Garret , 1943-
서명 / 저자사항
Clifford algebra to geometric calculus : a unified language for mathematics and physics / by David Hestenes and Garret Sobczyk.
판사항
Pbk. ed.
발행사항
Dordrecht ;   Boston :   D. Reidel ;   Hingham, MA, U.S.A. :   Distributed in the U.S.A. and Canada by Kluwer Academic Publishers ,   1987.  
형태사항
xviii, 314 p. ; 24 cm.
총서사항
Fundamental theories of physics
ISBN
9027725616 (pbk.) 9789027725615 (pbk.)
서지주기
Includes bibliographical references and index.
일반주제명
Clifford algebras. Calculus.
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001 000045455940
005 20080724095930
008 080721r19871984ne b 001 0 eng d
020 ▼a 9027725616 (pbk.)
020 ▼a 9789027725615 (pbk.)
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA199 ▼b .H47 1987
082 0 4 ▼a 512/.57 ▼2 22
090 ▼a 512.57 ▼b H588ca
100 1 ▼a Hestenes, David , ▼d 1933-.
245 1 0 ▼a Clifford algebra to geometric calculus : ▼b a unified language for mathematics and physics / ▼c by David Hestenes and Garret Sobczyk.
246 3 0 ▼a Geometric calculus
250 ▼a Pbk. ed.
260 ▼a Dordrecht ; ▼a Boston : ▼b D. Reidel ; ▼a Hingham, MA, U.S.A. : ▼b Distributed in the U.S.A. and Canada by Kluwer Academic Publishers , ▼c 1987.
300 ▼a xviii, 314 p. ; ▼c 24 cm.
440 0 ▼a Fundamental theories of physics
504 ▼a Includes bibliographical references and index.
650 0 ▼a Clifford algebras.
650 0 ▼a Calculus.
700 1 ▼a Sobczyk, Garret , ▼d 1943-
945 ▼a KINS

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.57 H588ca 등록번호 121173423 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

1 / Geometric Algebra.- 1-1. Axioms, Definitions and Identities.- 1-2. Vector Spaces, Pseudoscalars and Projections.- 1-3. Frames and Matrices.- 1-4. Alternating Forms and Determinants.- 1-5. Geometric Algebras of PseudoEuclidean Spaces.- 2 / Differentiation.- 2-1. Differentiation by Vectors.- 2-2. Multivector Derivative, Differential and Adjoints.- 2-3. Factorization and Simplicial Derivatives.- 3 / Linear and Multilinear Functions.- 3-1. Linear Transformations and Outermorphisms.- 3-2. Characteristic Multivectors and the Cayley-Hamilton Theorem.- 3-3. Eigenblades and Invariant Spaces.- 3-4. Symmetric and Skew-symmetric Transformations.- 3-5. Normal and Orthogonal Transformations.- 3-6. Canonical Forms for General Linear Transformations.- 3-7. Metric Tensors and Isometries.- 3-8. Isometries and Spinors of PseudoEuclidean Spaces.- 3-9. Linear Multivector Functions.- 3-10. Tensors.- 4 / Calculus on Vector Manifolds.- 4-1. Vector Manifolds.- 4-2. Projection, Shape and Curl.- 4-3. Intrinsic Derivatives and Lie Brackets.- 4-4. Curl and Pseudoscalar.- 4-5. Transformations of Vector Manifolds.- 4-6. Computation of Induced Transformations.- 4-7. Complex Numbers and Conformal Transformations.- 5 / Differential Geometry of Vector Manifolds.- 5-1. Curl and Curvature.- 5-2. Hypersurfaces in Euclidean Space.- 5-3. Related Geometries.- 5-4. Parallelism and Projectively Related Geometries.- 5-5. Conformally Related Geometries.- 5-6. Induced Geometries.- 6 / The Method of Mobiles.- 6-1. Frames and Coordinates.- 6-2. Mobiles and Curvature 230.- 6-3. Curves and Comoving Frames.- 6-4. The Calculus of Differential Forms.- 7 / Directed Integration Theory.- 7-1. Directed Integrals.- 7-2. Derivatives from Integrals.- 7-3. The Fundamental Theorem of Calculus.- 7-4. Antiderivatives, Analytic Functions and Complex Variables.- 7-5. Changing Integration Variables.- 7-6. Inverse and Implicit Functions.- 7-7. Winding Numbers.- 7-8. The Gauss-Bonnet Theorem.- 8 / Lie Groups and Lie Algebras.- 8-1. General Theory.- 8-2. Computation.- 8-3. Classification.- References.


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