Mathematical Background

  • Shankar Sastry
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 10)


In this chapter we will review very briefly some definitions from algebra and analysis that we will periodically use in the book. We will spend a little more time on existence, and uniqueness theorems for differential equations, fixed point theorems and some introductory concepts from degree theory. We end the chapter with an introduction to differential topology, especially the basics of the definitions and properties of manifolds. More details about differential geometry may be found in Chapter 8.


Vector Space Tangent Space Fixed Point Theorem Smooth Manifold Degree Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Shankar Sastry
    • 1
  1. 1.Department of Electrical Engineering and Computer ScienceUniversity of California, BerkeleyBerkeleyUSA

Personalised recommendations