Differential Geometry
First Edition
Dover Publications · Print & ebook · June 1, 1991
This outstanding textbook by a distinguished mathematical scholar introduces the differential geometry of curves and surfaces in three-dimensional Euclidean space.
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- Who it’s for
- An introduction to curves and surfaces connects geometric concepts with theory and practical importance.
- Themes
- Curves and surfaces in Euclidean space, Tensor calculus, Geodesics and surface mappings
- Genres
- Differential Geometry, Analytic Geometry, Mathematical & Computational Physics
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Start with this bookAbout this book
This outstanding textbook by a distinguished mathematical scholar introduces the differential geometry of curves and surfaces in three-dimensional Euclidean space. The subject is presented in its simplest, most essential form, but with many explanatory details, figures and examples, and in a manner that conveys the geometric significance and theoretical and practical importance of the different concepts, methods and results involved.
Continue reading
The first chapters of the book focus on the basic concepts and facts of analytic geometry, the theory of space curves, and the foundations of the theory of surfaces, including problems closely related to the first and second fundamental forms. The treatment of the theory of surfaces makes full use of the tensor calculus. The later chapters address geodesics, mappings of surfaces, special surfaces, and the absolute differential calculus and the displacement of Levi-Cività. Problems at the end of each section (with solutions at the end of the book) will help students meaningfully review the material presented, and familiarize themselves with the manner of reasoning in differential geometry.
Curves and Surfaces
An introduction to curves and surfaces connects geometric concepts with theory and practical importance.
Come here for
- Space curves and surface theory, including first and second fundamental forms
- Tensor calculus in the theory of surfaces
Expect
- Later chapters address geodesics, mappings of surfaces, and special surfaces
- Section-end problems have solutions at the end of the book
Where it sits
| Differential Geometry | 100% |
|---|---|
| Mathematical & Computational Physics | 31% |
| Analytic Geometry | 29% |
Percentages are BookFrontier’s reading of the book.
Publisher categories
- Differential Geometry
- Authors
- Erwin Kreyszig
- Publisher
- Dover Publications
- Published
- June 1, 1991
- Format
- Print & ebook
- Theme
- Curves and surfaces in Euclidean space · Tensor calculus · Geodesics and surface mappings
- Reading lane
- Differential Geometry