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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.
Nákup knihy
An Introduction to Differential Geometry - With the Use of Tensor Calculus, Luther Pfahler Eisenhart
- Jazyk
- Rok vydania
- 2007
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- Titul
- An Introduction to Differential Geometry - With the Use of Tensor Calculus
- Jazyk
- anglicky
- Autori
- Luther Pfahler Eisenhart
- Vydavateľ
- Maugham Press
- Rok vydania
- 2007
- Väzba
- mäkká
- Počet strán
- 316
- ISBN13
- 9781406717778
- Kategórie
- Matematika
- Anotácia
- 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.