DIFFERENTIAL GEOMETRY BOOKS FULL

The text is full of wonderful line drawings. There are some exercises that seem to be at an appropriate level of difficulty, but not enough of them. There is discussion of what it means to make a parametrized surface and several ways to think about them. Kreyszig made a good effort to discuss the very basic things that students can have trouble with in a direct and straightforward way. Examples are well-chosen to illustrate the basic concepts.

Points in Favor of the Bookįigure 35 from page 81 introduces the notion of a tangent vector to a surface. Keeping to the general plan for completing my big review project, I read the chapter Concept of a Surface.

Absolute Differentiation and Parallel Displacement.

Since you can get some sense of the plan of things, including the order of presentation and some of the choices made about what to include or exclude, this is the list of chapters: But I don’t think it is a good choice of textbook for an introduction unless the student is well-prepared and highly motivated. I am certainly glad to own it and I will read more of it. Just… wow.Īs a quick overview, let me say that I really like this book. I don’t really understand how manages to undercut a Dover price. It is relatively inexpensive, but still seems well made. The book is an old one, currently available from Dover Publications. The first subject of the Great Elementary Differential Geometry Textbook Review of Winter 2012 is an older book by Erwin Kreyszig titled simply Differential Geometry.

Differential geometry books