An Introduction to Differential Geometry - With the Use of Tensor Calculus

Autor*innen

• Luther Pfahler Eisenhart

Parameter

• 316 Seiten
• 12 Lesestunden

• Mathematik

Mehr zum Buch

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.

• Sprache: Englisch
• Erscheinungsdatum: 2007
• Einband: Paperback