Functional Analysis

A Topological Introduction to Nonlinear Analysis by Robert F. Brown

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 prefer, with at the least historical past and training, to appreciate many of the appealing effects on the middle of nonlinear research. in accordance with carefully-expounded rules 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 ebook may be of giant assist in offering its readers with an knowing of the maths of the nonlinear phenomena that represent our actual international. integrated during this new version are a number of new chapters that current the fastened aspect index and its functions. The exposition and mathematical content material is superior all through.

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

"For the topology-minded reader, the e-book certainly has much to supply:  written in a really 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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