Introduction to Differential Geometry Book Reviews
Introduction to Differential Geometry by Joel W. Robbin & Dietmar A. Salamon Book Summary
This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point.
The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor.
An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson's differential geometric approach to Lie algebra theory.
The Authors
Joel W. Robbin, Professor emeritus, University of Wisconsin-Madison, Department of Mathematics.
Dietmar A. Salamon, Professor emeritus, Eidgenössische Technische Hochschule Zürich (ETHZ), Departement Mathematik.
Book Name | Introduction to Differential Geometry |
Genre | Mathematics |
Author | Joel W. Robbin & Dietmar A. Salamon |
Published | 12 January 2022, Wednesday |
Language | English |
E-Book Size | 22.29 MB |
Introduction to Differential Geometry (Joel W. Robbin & Dietmar A. Salamon) Book Reviews 2024
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Download Link | Book Format |
introduction-to-differential-geometry-ebook.pdf | |
introduction-to-differential-geometry-ebook.epub | EPUB |
introduction-to-differential-geometry-ebook.kindle | KINDLE |
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Summary of Introduction to Differential Geometry by Joel W. Robbin & Dietmar A. Salamon
The Introduction to Differential Geometry book written by Joel W. Robbin & Dietmar A. Salamon was published on 12 January 2022, Wednesday in the Mathematics category. A total of 176 readers of the book gave the book 0 points out of 5.
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