A Topological Introduction to Nonlinear Analysis by Robert F. Brown

By Robert F. Brown

This 3rd version is addressed to the mathematician or graduate pupil of arithmetic - or perhaps the well-prepared undergraduate - who would favor, with at the very least heritage and instruction, to appreciate the various appealing effects on the middle of nonlinear research. in keeping with carefully-expounded principles from a number of branches of topology, and illustrated through a wealth of figures that attest to the geometric nature of the exposition, the ebook should be of enormous assist in supplying its readers with an knowing of the math of the nonlinear phenomena that symbolize our genuine global. incorporated during this new version are a number of new chapters that current the mounted aspect index and its functions. The exposition and mathematical content material is superior all through.

This publication is perfect for self-study for mathematicians and scholars drawn to such parts of geometric and algebraic topology, sensible research, differential equations, and utilized arithmetic. it's a sharply concentrated and hugely readable view of nonlinear research via a training topologist who has noticeable a transparent route to figuring out.

"For the topology-minded reader, the publication certainly has much to provide:  written in a really own, eloquent and instructive type it makes  one of the highlights of nonlinear research obtainable to a large audience."-Monatshefte fur Mathematik (2006)

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