TY - BOOK AU - Berger,Melvyn S. TI - Nonlinearity and Functional Analysis: Lectures on Nonlinear Problems in Mathematical Analysis SN - 0120903504 AV - QA3QA300 .P8 vol. 74 U1 - 515.7 PY - 1977/// CY - New York PB - Academic Press KW - Mathematical Analysis KW - Functional Analysis KW - Nonlinear Theories N1 - Includes index; Bibliography: p. 399-408 N2 - The material to be described in this text is divided into three parts, with each part containing two chapters. Part 1 is concerned first with the motivation and preliminary mathematical material necessary to understand the context of later developments in the book and second with providing a rudimentary calculus and classification of non-linear operators. Part 2 deals with local analysis. The third and final part of the book describes analysis in the large and shows the necessity of combining concrete analysis with transcendental methods. A main object of the text is the application of the abstract results obtained to resolve interesting problems of geometry and physics UR - http://www.loc.gov/catdir/enhancements/fy1413/76026039-d.html ER -