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020 _a9780486634012
040 _cNULRC
050 _aQA 433 .L48 2013
100 _aLevi-Civita, Tullio
_eauthor
245 4 _aThe Absolute differential calculus :
_bTullio Levi-Civita
_cTullio Levi-Civita
260 _aNew York :
_bDover Publication, Inc.
_cc2013
300 _axvi, 452 pages :
_billustrations ;
_c23 cm.
365 _bUSD18.17
500 _aDover phoenix editions.
504 _aIncludes index.
505 _aPart 1. Introductory Theories -- Part 2. The Fundamental quadratic form and the absolute differential calculus.
520 _aWritten by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential calculus, and he further explores physical applications. Part one opens with considerations of functional determinants and matrices, advancing to systems of total differential equations, linear partial differential equations, algebraic foundations, and a geometrical introduction to theory. The second part addresses covariant differentiation, curvature-related Riemann's symbols and properties, differential quadratic forms of classes zero and one, and intrinsic geometry. The final section focuses on physical applications, covering gravitational equations and general relativity.
650 _aCALCULUS OF TENSORS
700 _aPersico, Enrico ;Long, Marjorie
_eeditor;translator
942 _2lcc
_cBK
999 _c16341
_d16341