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.
KeywordsVector Space Tangent Space Fixed Point Theorem Smooth Manifold Degree Theory
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