@article{722722,
      recid = {722722},
      author = {Brown, Robert F.,},
      title = {A topological introduction to nonlinear analysis  [electronic resource] /},
      pages = {1 online resource (x, 240 pages) :},
      abstract = {This third edition of A Topological Introduction to  Nonlinear Analysis is addressed to the mathematician or  graduate student of mathematics - or even the well-prepared  undergraduate - who would like, with a minimum of  background and preparation, to understand some of the  beautiful results at the heart of nonlinear analysis. Based  on carefully-expounded ideas from several branches of  topology, and illustrated by a wealth of figures that  attest to the geometric nature of the exposition, the book  will be of immense help in providing its readers with an  understanding of the mathematics of the nonlinear phenomena  that characterize our real world. For this third edition,  several new chapters present the fixed point index and its  applications. The exposition and mathematical content is  improved throughout. This book is ideal for self-study for  mathematicians and students interested in such areas of  geometric and algebraic topology, functional analysis,  differential equations, and applied mathematics. It is a  sharply focused and highly readable view of nonlinear  analysis by a practicing topologist who has seen a clear  path to understanding. "For the topology-minded reader, the  book indeed has a lot to offer: written in a very personal,  eloquent and instructive style it makes one of the  highlights of nonlinear analysis accessible to a wide  audience."-Monatshefte fur Mathematik (2006)},
      url = {http://library.usi.edu/record/722722},
      doi = {https://doi.org/10.1007/978-3-319-11794-2},
}