Background
Brown, Robert Freeman was born on December 13, 1935 in Cambridge, Massachusetts, United States. Son of Irving and Charlotte (Frankel) Brown.
(This third edition is addressed to the mathematician or g...)
This third edition 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. Included in this new edition are several new chapters that 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)
http://www.amazon.com/gp/product/3319117939/?tag=2022091-20
(Here is a book that will be a joy to the mathematician or...)
Here is a book that will be a joy to the mathematician or graduate student of mathematics - or even wen prep 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 0 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 characterise our real world. A classical example is given in the differential equation problem that models the maximum weight a column can support without buckling. The author has assumed a fairly high level of mathematical sophistication. However, the pace of the exposition is relatively leisurely, and the book is essentially self-contained. Upon completing the book, the reader will be wen equipped to make rapid progress through the existing literature in the broad field of nonlinear analysis. This book is highly recommended for self study for mathematicians and students interested in such areas as 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 practising topologist who has seen a clear path to understanding.
http://www.amazon.com/gp/product/0817637060/?tag=2022091-20
Brown, Robert Freeman was born on December 13, 1935 in Cambridge, Massachusetts, United States. Son of Irving and Charlotte (Frankel) Brown.
AB, Harvard College, 1957; postgraduate, American U., 1959; Doctor of Philosophy, University of Wisconsin, 1963.
Assistant professor, University of California at Los Angeles, 1963-1968; associate professor, University of California at Los Angeles, 1968-1973; professor, University of California at Los Angeles, since 1973.
(This third edition is addressed to the mathematician or g...)
(Here is a book that will be a joy to the mathematician or...)
Member American Mathematics Society, Mathematics Association American (governor 1986-1989, Lester Ford award1983).
Married Brenda Webster, June 16, 1957. Children: Geoffrey, Matthew.