Download PDF by Robert F. Brown: A Topological Introduction to Nonlinear Analysis

By Robert F. Brown

ISBN-10: 3319117939

ISBN-13: 9783319117935

This 3rd version is addressed to the mathematician or graduate scholar of arithmetic - or perhaps the well-prepared undergraduate - who would prefer, with no less than historical past and guidance, to appreciate a few of the attractive effects on the middle of nonlinear research. in keeping with carefully-expounded principles from a number of branches of topology, and illustrated by way of a wealth of figures that attest to the geometric nature of the exposition, the e-book might be of large assist in supplying its readers with an figuring out of the maths of the nonlinear phenomena that symbolize our actual international. 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 stronger all through.

This e-book is perfect for self-study for mathematicians and scholars attracted to such parts of geometric and algebraic topology, sensible research, differential equations, and utilized arithmetic. it's a sharply centred and hugely readable view of nonlinear research by way of a working towards topologist who has visible a transparent route to knowing.

"For the topology-minded reader, the publication certainly has much to supply:  written in a truly own, eloquent and instructive kind 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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