Xvi, 452 Pp + Catalog At End. First American Soft Cover Edition, From The Second English Impression Which Corrected A Few Typographical Errors And Added References To Some Recent Work (1928). Near Fine, No Marks.

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Bibliographic Details

Title

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

Publisher

Dover Publications

Publication Date

1977

Language

English

ISBN 10

0486634019

ISBN 13

9780486634012

Binding

Soft cover

Edition

First Softcover Edition

Printing

1st Printing

Condition

Near Fine

Seller catalogs

Mathematics

About this title

Synopsis

Written 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.

About the Author

Italian mathematician Tullio Levi-Civita (1873–1941) is most famous for his work on absolute differential calculus and its applications to relativity theory.

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Arroyo Seco Books, Pasadena, Member IOBA
CA, U.S.A.

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