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- Author: Barrett O'Neill
- Title: Elementary Differential Geometry
- Amazon Link: https://www.amazon.com/dp/0120887355/?tag=pfamazon01-20
- Prerequisities:
- Contents:
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"Elementary Differential Geometry" by Barrett O'Neill is a textbook that introduces the basic concepts and techniques of differential geometry, which is the branch of mathematics that deals with the study of curves and surfaces in three-dimensional space.
The book covers topics such as curves in space, surfaces in space, curves on surfaces, and the Gauss-Bonnet theorem. It also includes applications of differential geometry in physics and engineering.
Yes, "Elementary Differential Geometry" is written for undergraduate students who have a basic understanding of calculus and linear algebra. The book includes many examples and exercises to help beginners grasp the concepts.
As mentioned earlier, a basic understanding of calculus and linear algebra is recommended. Some knowledge of multivariable calculus and vector calculus will also be helpful in understanding the concepts presented in the book.
Yes, this book is a great resource for self-study. It is well-structured, with clear explanations and numerous examples. The exercises at the end of each chapter also provide opportunities for self-assessment and practice.