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Clifford algebras : applications to mathematics, physics, and engineering

Clifford algebras : applications to mathematics, physics, and engineering (3회 대출)

자료유형
단행본
개인저자
Lounesto, Pertti. Abłamowicz, Rafał.
서명 / 저자사항
Clifford algebras : applications to mathematics, physics, and engineering / Rafał Abłamowicz, editor.
발행사항
Boston :   Birkhauser ,   c2004.  
형태사항
xxiv, 626 p. : ill. ; 24 cm.
총서사항
Progress in mathematical physics ; v. 34
ISBN
0817635254 (acid-free paper) 3764335254 (Basel : acid-free paper)
서지주기
Includes bibliographical references and index.
일반주제명
Clifford algebras -- Congresses.
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020 ▼a 0817635254 (acid-free paper)
020 ▼a 3764335254 (Basel : acid-free paper)
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040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
042 ▼a pcc
050 0 0 ▼a QA199 ▼b .C554 2004
082 0 0 ▼a 512/.57 ▼2 22
090 ▼a 512.57 ▼b C637
245 0 0 ▼a Clifford algebras : ▼b applications to mathematics, physics, and engineering / ▼c Rafał Abłamowicz, editor.
260 ▼a Boston : ▼b Birkhauser , ▼c c2004.
300 ▼a xxiv, 626 p. : ▼b ill. ; ▼c 24 cm.
440 0 ▼a Progress in mathematical physics ; ▼v v. 34
504 ▼a Includes bibliographical references and index.
650 0 ▼a Clifford algebras ▼v Congresses.
700 1 ▼a Lounesto, Pertti.
700 1 ▼a Abłamowicz, Rafał.
711 2 ▼a International Conference on Clifford Algebras and their Applications in Mathematical Physics ▼n (6th : ▼d 2002 : ▼c Cooksville, Tenn.)
945 ▼a KINS

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.57 C637 등록번호 121178671 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

PREFACE * PART I. CLIFFORD ANALYSIS * 1. The Morera Problem in Clifford Algebras and the Heisenberg Group by Carlos A. Berenstein, Der-Chen Chang, and Wayne M. Eby * 2. Multidimensional Inverse Scattering Associated with the Schrodinger Equation by Swanhild Bernstein * 3. On Discrete Stokes and Navier?Stokes Equations in the Plane by Klaus Gurlebeck and Angela Hommel * 4. A Symmetric Functional Calculus for Systems of Operators of Type w by Brian Jefferies * 5. Poincare Series in Clifford Analysis by Rolf Soren Krausshar * 6. Harmonic Analysis for General First Order Differential Operators in Lipschitz Domains by Emilio Marmolejo-Olea and Marius Mitrea * 7. Paley?Wiener Theorems and Shannon Sampling in the Clifford Analysis Setting by Tao Qian * 8. Bergman Projection in Clifford Analysis by Guangbin Ren and Helmuth R. Malonek * 9. Quaternionic Calculus for a Class of Initial Boundary Value Problems by Wolfgang Sprossig * PART II. GEOMETRY * 10. A Nahm Transform for Instantons over ALE Spaces by Claudio Bartocci and Marcos Jardim * 11. Hyper-Hermitian Manifolds and Connections with Skew-Symmetric Torsion by Gueo Grantcharov * 12. Casimir Elements and Bochner Identities on Riemannian Manifolds by Yasushi Homma * 13. Eigenvalues of Dirac and Rarita?Schwinger Operators by Doojin Hong * 14. Differential Forms Canonically Associated to Even-Dimensional Compact Conformal Manifolds by William J. Ugalde * 15. The Interface of Noncommutative Geometry and Physics by Joseph C. Varilly * PART III. MATHEMATICAL STRUCTURES * 16. The Method of Virtual Variables and Representations of Lie Superalgebras by Andrea Brini, Francesco Regonati, and Antonio Teolis * 17. Algebras Like Clifford Algebras by Michael Eastwood * 18. Grade Free Product Formulæ from Grassmann?Hopf Gebras by Bertfried Fauser * 19. The Clifford Algebra in the Theory of Algebras, Quadratic Forms, and Classical Groups by Alexander Hahn * 20. Lipschitz’s Methods of 1886 Applied to SymplecticClifford Algebras by Jacques Helmstetter * 21. The Group of Classes of Involutions of Graded Central Simple Algebras by Jacques Helmstetter * 22. A Binary Index Notation for Clifford Algebras by Dennis W. Marks * 23. Transposition in Clifford Algebra: SU(3) from Reorientation Invariance by Bernd Schmeikal * PART IV. PHYSICS * 24. The Quantum/Classical Interface: Insights from Clifford’s (Geometric) Algebra by William E. Baylis * 25. Standard Quantum Spheres by Francesco Bonechi, Nicola Ciccoli, and Marco Tarlini * 26. Clifford Algebras, Pure Spinors and the Physics of Fermions by Paolo Budinich * 27. Spinor Formulations for Gravitational Energy-Momentum by Chiang-Mei Chen, James M. Nester, and Roh-Suan Tung * 28. Chiral Dirac Equations by Claude Daviau * 29. Using Octonions to Describe Fundamental Particles by Tevian Dray and Corinne A. Manogue * 30. Applications of Geometric Algebra in Electromagnetism, Quantum Theory and Gravity by Anthony Lasenby, Chris Doran, and Elsa Arcaute * 31. Noncommutative Physics on Lie Algebras, (Z2)n Lattices and Clifford Algebras by Shahn Majid * 32. Dirac Operator on Quantum Homogeneous Spaces and Noncommutative Geometry by Robert M. Owczarek * 33. r-Fold Multivectors and Superenergy by Jose M. Pozo and Josep M. Parra * 34. The Cl7 Approach to the Standard Model by Greg Trayling and William E. Baylis * PART V. APPLICATIONS IN ENGINEERING * 35. Implementation of a Clifford Algebra Co-Processor Design on a Field Programmable Gate Array by Christian Perwass, Christian Gebken, and Gerald Sommer * 36. Image Space by Jan J. Koenderink * 37. Pose Estimation of Cycloidal Curves by using Twist Representations by Bodo Rosenhahn and Gerald Sommer * INDEX


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