A Differential Approach to Geometry

Released on by Francis Borceux
preview-18

  • A Differential Approach to Geometry Book Detail

  • Author : Francis Borceux
  • Release Date : 2013-11-09
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 462
  • ISBN 13 : 3319017365
  • File Size : 99,99 MB
DOWNLOAD BOOK

A Differential Approach to Geometry by Francis Borceux PDF Summary

Book Description: This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincaré characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to “intuitively” introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.

Disclaimer: www.yourbookbest.com does not own A Differential Approach to Geometry books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

A Differential Approach to Geometry

A Differential Approach to Geometry

File Size : 62,62 MB
Total View : 2639 Views
DOWNLOAD

This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It

A Geometric Approach to Differential Forms

A Geometric Approach to Differential Forms

File Size : 66,66 MB
Total View : 8244 Views
DOWNLOAD

This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differen

Cartan for Beginners

Cartan for Beginners

File Size : 75,75 MB
Total View : 943 Views
DOWNLOAD

This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential sys