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By Robert F. Brown

This 3rd version is addressed to the mathematician or graduate scholar of arithmetic - or perhaps the well-prepared undergraduate - who would favor, with at the very least heritage and guidance, to appreciate a few of the attractive effects on the center of nonlinear research. in response to carefully-expounded principles from numerous branches of topology, and illustrated by means of a wealth of figures that attest to the geometric nature of the exposition, the ebook may be of tremendous assist in offering its readers with an realizing of the math of the nonlinear phenomena that represent our actual global. integrated during this new version are a number of new chapters that current the fastened element index and its purposes. The exposition and mathematical content material is more advantageous all through.

This publication is perfect for self-study for mathematicians and scholars attracted to such parts of geometric and algebraic topology, useful research, differential equations, and utilized arithmetic. it's a sharply targeted and hugely readable view of nonlinear research by way of a practising topologist who has visible a transparent route to realizing.

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

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A Topological Introduction to Nonlinear Analysis by Robert F. Brown

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