
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 least heritage and guidance, to appreciate the various 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 can be of sizeable assist in supplying its readers with an knowing of the math of the nonlinear phenomena that symbolize our actual international. integrated during this re-creation are numerous new chapters that current the fastened aspect index and its functions. The exposition and mathematical content material is greater all through. This ebook is perfect for self-study for mathematicians and scholars attracted to such components of geometric and algebraic topology, practical research, differential equations, and utilized arithmetic. it's a sharply targeted and hugely readable view of nonlinear research through a working towards topologist who has visible a transparent route to figuring out. "For the topology-minded reader, the publication certainly has much to supply: written in a truly own, eloquent and instructive sort it makes one of many highlights of nonlinear research obtainable to a large audience."-Monatshefte fur Mathematik (2006)