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The Absolute Differential Calculus: Calculus of Tensors by Tullio Levi-Civita ISBN: 0486446379 Dover Publications Price: $70.00 click here to see this book A chief requirement in the study of relativity is absolute differential calculus, which Einstein used to mathematically develop his ideas. This classic was written by a founder in the field, offering a clear, detailed exposition. It examines introductory theories, the fundamental quadratic form and the absolute differential calculus, and physical applications. 1926 edition. Table of Contents for The Absolute Differential Calculus: Calculus of Tensors I. Introductory Theories 1. Fundamental and Matrices 2. Systems of Total Differential Equations 3. Linear Partial Differential Equations Complete Systems 4. Algebraic Foundations of the Absolute Differential Calculus 5. Geometrical Introduction to the Theory of Differential Quadratic Forms II. The Fundamental Quadratic Form and the Absolute Differential Calculus 6. Covariant Differentiation; Invariants and Differential Parameters; Locally Geodesic Coordinates 7. Riemann’s Symbols and Properties Relating to Curvature; Ricci’s and Einstein’s Symbols; Geodesic Deviation 8. Relations between Two Different Metrics Referred to the Same Parameters; Manifolds of Constant Curvature 9. Differential Quadratic Forms of Class Zero and Class One 10. Some Applications of Intrinsic Geometry III. Physical Applications 11. Evolution of Mechanics and Geometrical Optics; Their Relation to a Four-dimensional World According to Einstein 12. The Gravitational Equations and General Relativity Additional Notes Index of Names General Index

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