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Focusing on the development of tensor calculus, this work expands on its application from cuclidean 3-space to Riemannian spaces of any dimension. It builds on earlier foundational concepts introduced in the author's previous book, enhancing the study of differential geometry of surfaces in 3-space. Key additions include the concept of parallelism as defined by Levi-Civita, enriching the mathematical framework and offering deeper insights into geometric properties and relationships.
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An Introduction to Differential Geometry - With the Use of Tensor Calculus, Luther Pfahler Eisenhart
- Language
- Released
- 2008
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- (Hardcover)
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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
- 2008
- Format
- Hardcover
- Pages
- 320
- ISBN13
- 9781443722933
- Category
- Mathematics
- Description
- Focusing on the development of tensor calculus, this work expands on its application from cuclidean 3-space to Riemannian spaces of any dimension. It builds on earlier foundational concepts introduced in the author's previous book, enhancing the study of differential geometry of surfaces in 3-space. Key additions include the concept of parallelism as defined by Levi-Civita, enriching the mathematical framework and offering deeper insights into geometric properties and relationships.