Differential geometry of Curves and surfaces is a book written by Manfredo Perdigao. It is actually a textbook that is widely used all around the world. The book was published by Courier Dover Publications in the last month of 2016. The book has information about basic rules of algebra and geometry. It talks about differential geometry from a global aspect and also incorporates the local aspect of it into the details.
Differential Geometry of Curves and Surfaces Pdf Review:
The book is about differential geometry and everything else related to it. It starts by explaining curves and talking about them in general. After that, the author moves on to geometry and discusses the Gauss map. There is also an explanation of surfaces, such as linear ones and then there is an explanation about the intrinsic geometry of surfaces. Along with the information, there are also questions and exercises in the book. The author has also given some hint with regards to the problems mentioned in the book. The content of this book is a bit advanced for the general reader. Thus, it is suitable for those students who have already graduated with a Math major or are hoping to do so. There are many complex terminologies used that require prior knowledge.
Differential Geometry of Curves and Surfaces Pdf Features:
- The 2016 edition is actually a revised version with some updated information.
- It can be used as a course for undergrad since it contains information of linear algebra.
- A few topics of calculus are also discussed in the book.
- This book is aimed at students who already have an understanding of mathematics.
Table of Contents:
- Additional Topics in Curves
- The Curvature of a Surface
- The Gauss-Bonnet Theorem
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