Tullio Levi-Civita, FRS[1873 – 1941] was an Italian mathematician, most famous for his work on absolute differential calculus (tensor calculus).

Absolute Differential Calculus

Science & Math

Tullio Levi-Civita

Mathematics

Blackie & Sons

A chief requirement in the study of relativity is knowledge of the absolute differential calculus, the subject that Einstein found necessary for developing his ideas mathematically. Tullio Levi-Civita was one of the founders of this field of mathematics, and he presents a clear, detailed exposition of the subject in this classic book. The first section of the three-part treatment examines functional determinants and matrices; systems of total differential equations; linear partial differential equations in complete systems; and algebraic foundations of the absolute differential calculus, concluding with a geometrical introduction to the theory of differential quadratic forms. Part two, a study of the fundamental quadratic form and the absolute differential calculus, focuses on covariant differentiation, invariants and differential parameters, and locally geodesic coordinates; Riemann's symbols and properties relating to curvature, Ricci's and Einstein's symbols, and geodesic deviation; relations between two different metrics referred to the same parameters, manifolds of constant curvature; and differential quadratic forms of class zero and class one; and some applications of intrinsic geometry. The third and final section explores physical applications, including the evolution of mechanics and geometrical optics and their relation to a four-dimensional world according to Einstein; and gravitational equations and general relativity.

The Absolute Differential Calculus: Calculus of Tensors (Dover Books on Mathematics)

Dover Publications

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Books by Tullio Levi-Civita

See the best price to sell, buy, or rent books by Tullio Levi-Civita. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Absolute Differential Calculus

The Absolute Differential Calculus: Calculus of Tensors (Dover Books on Mathematics)