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The book delves into the evolution of tensor calculus since its inception, highlighting its significance in Einstein's General Theory of Relativity and Riemannian Geometry. It begins with a thorough development of tensor calculus in Euclidean 3-space before extending it to Riemannian spaces of any dimension. The latter chapters focus on applying this calculus to the differential geometry of surfaces in 3-space, incorporating advanced concepts like Levi-Civita parallelism, enhancing the foundational material from the author's earlier work.
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An Introduction to Differential Geometry - With the Use of Tensor Calculus, Luther Pfahler Eisenhart
- Language
- Released
- 2007
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- (Paperback)
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- Title
- An Introduction to Differential Geometry - With the Use of Tensor Calculus
- Language
- English
- Authors
- Luther Pfahler Eisenhart
- Publisher
- Maugham Press
- Released
- 2007
- Format
- Paperback
- Pages
- 316
- ISBN13
- 9781406717778
- Category
- Mathematics
- Description
- The book delves into the evolution of tensor calculus since its inception, highlighting its significance in Einstein's General Theory of Relativity and Riemannian Geometry. It begins with a thorough development of tensor calculus in Euclidean 3-space before extending it to Riemannian spaces of any dimension. The latter chapters focus on applying this calculus to the differential geometry of surfaces in 3-space, incorporating advanced concepts like Levi-Civita parallelism, enhancing the foundational material from the author's earlier work.