Part I: The Geometry of Surfaces, Transformation Groups, and Fields
This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists.
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141 primary booksGraduate Texts in Mathematics is a 141-book series with 141 primary works first released in 1899 with contributions by G. Takeuti, W M Zaring, and 162 others.