# Download A First Course in Geometric Topology and Differential Geometry (Modern Birkhäuser Classics) eBook

## by **Ethan D. Bloch**

Topology of Subsets of Euclidean Space.

It is the great clarity of thought in this book, the simplicity and concreteness of the representation with respect. to the capacity for teaching of students, and some other aspects that make this work stand out from comparable efforts. Topology of Subsets of Euclidean Space.

The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread .

The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship between modern axiomatic approach and geometric intuition. The text is kept at a concrete level, 'motivational' in nature, avoiding abstractions. Categories: Mathematics\Geometry and Topology. Издание: 1. Язык: english.

The differential geometry of smooth surfaces is outlined, with the first fundamental form and directional derivatives discussed in great detail. The reader should be familiar with the inverse function theorem to appreciate the discussion of regular values. Even more interesting differential geometry is discussed in chapter 6, which covers the curvature of smooth surfaces. The important Gauss map is defined, along with the Weingarten map and the second fundamental form

It is a very intiutive book in both areas.

It is a very intiutive book in both areas. If you are an undergraduate and want to get an overall idea about the gradute study in topology and geometry that is a nice introduction.

We’re dedicated to reader privacy so we never track you. We never accept ads. But we still need to pay for servers and staff. I know we could charge money, but then we couldn’t achieve our mission: a free online library for everyone. The book includes topics not usually found in a single book at this level. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor.

Автор: Bloch Ethan Название: A First Course in Geometric Topology .

Описание: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision.

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