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JSTOR_ocn954128599 |
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OCoLC |
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m o d |
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cr cnu---unuuu |
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160728s1997 nju eob 001 0 eng d |
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|a JSTOR
|b eng
|e rda
|e pn
|c JSTOR
|d EBLCP
|d DEBBG
|d IOG
|d EZ9
|d TXC
|d LVT
|d OCLCQ
|d UX1
|d OCLCO
|d OCLCQ
|d OCLCO
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|a 1175644035
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|a 1400884217
|q (electronic bk.)
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|a 9781400884216
|q (electronic bk.)
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|z 0691080267
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|z 9780691080260
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|z 0691023530
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|a GBVCP
|b 87151009X
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|a (OCoLC)954128599
|z (OCoLC)1175644035
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|a 22573/ctt1cxnm9g
|b JSTOR
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|a QA641
|b .E58 1997eb
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|a 513.7
|2 23
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|a UAMI
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|a Eisenhart, Luther Pfahler,
|d 1876-1965,
|e author.
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|a Riemannian geometry /
|c by Luther Pfahler Eisenhart.
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| 264 |
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|a Princeton, New Jersey :
|b Princeton University Press,
|c 1997.
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| 300 |
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a data file
|2 rda
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1 |
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|a Princeton landmarks in mathematics and physics
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|a Includes bibliographical references and index.
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|a Print version record.
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|a Cover; Title; Copyright; Preface; Contents; CHAPTER I Tensor analysis ; 1. Transformation of coördinates. The summation convention ; 2. Contravariant vectors. Congruences of curves ; 3. Invariants. Covariant vectors ; 4. Tensors. Symmetric and skew-symmetric tensors
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|a 5. Addition, subtraction and multiplication of tensors. Contraction 6. Conjugate symmetric tensors of the second order. Associate tensors; 7. The Christoffel 3-index symbols and their relations ; 8. Riemann symbols and the Riemaun tensor. The Ricci tensor; 9. Quadratic differential forms ; 10. The equivalence of symmetric quadratic differential forms
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|a 11. Covariant differentiation with respect to a tensor gij CHAPTER II Introduction of a metric; 12. Definition of a metric. The fundamental tensor ; 13. Angle of two vectors. Orthogonality ; 14. Differential parameters. The normals to a hypersurface ; 15. N-tuply orthogonal systems of hypersurfaces in a Vn
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|a 16. Metric properties of a space Vn immersed in a Vm 17. Geodesics ; 18. Riemannian, normal and geodesic coördinates; 19. Geodesic form of the linear element. Finite equations of geodesics; 20. Curvature of a curve ; 21. Parallelism ; 22. Parallel displacement and the Riemann tensor ; 23. Fields of parallel vectors
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|a 24. Associate directions. Parallelism in a sub-space 25. Curvature of Vn at a point ; 26. The Bianchi identity. The theorem of Schur ; 27. Isometric correspondence of spaces of constant curvature. Motions in a Vn ; 28. Conformal spaces. Spaces conformal to a flat space; CHAPTER III Orthogonal ennuples
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| 590 |
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|a JSTOR
|b Books at JSTOR Demand Driven Acquisitions (DDA)
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| 590 |
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|a JSTOR
|b Books at JSTOR Evidence Based Acquisitions
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| 590 |
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|a JSTOR
|b Books at JSTOR All Purchased
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| 650 |
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|a Geometry, Differential.
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| 650 |
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|a Riemann surfaces.
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| 650 |
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|a Géométrie différentielle.
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| 650 |
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|a Surfaces de Riemann.
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| 650 |
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|a Geometry, Differential
|2 fast
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| 650 |
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|a Riemann surfaces
|2 fast
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| 776 |
0 |
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|i Print version:
|a Eisenhart, Luther Pfahler, 1876-1965.
|t Riemannian geometry.
|d Princeton, N.J. : Princeton University Press, 1997
|z 0691080267
|w (OCoLC)38255682
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| 830 |
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0 |
|a Princeton landmarks in mathematics and physics.
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| 856 |
4 |
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|u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1cx3vd7
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL4626042
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| 994 |
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|a 92
|b IZTAP
|
