The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. It includes exercises and informal discussions.
They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject.
One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects.
However, the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2. This book is a posthumous publication of a classic by Prof.
This is a textbook on differential geometry well-suited to a variety of courses on this topic.
Geometry and Topology of Surfaces
With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book.
Proper understanding of the mathematics underlying the geometry provides control over the construction. This book relates the classical mathematical theory of parametrized curves and surfaces to multiple applications in architecture.
Spivak M., A Comprehensive Introduction to Differential Geometry. Publish or Perish, Wilmington, 1979. Stroeker R., Kaashoek J., Discovering Mathematica with MAPLE. Birkhäuser, 1999. Su Pu-ch'ing, Computational Geometry — Curve and ...
Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry.
A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces.