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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.
Nákup knihy
An Introduction to Differential Geometry - With the Use of Tensor Calculus, Luther Pfahler Eisenhart
- Jazyk
- Rok vydania
- 2008
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- (pevná)
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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
- 2008
- Väzba
- pevná
- Počet strán
- 320
- ISBN13
- 9781443722933
- Kategórie
- Matematika
- Anotácia
- 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.