Nonlinear Functional Analysis by Klaus Deimling

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  • Title: Nonlinear Functional Analysis
  • Author: Klaus Deimling
  • Category: Mathematics
  • Date: October 2013
  • Lenguage: English
  • Pages: unknown
  • ISBN: 9780486132358

 

Ebook description:

Hailed as “eminently appropriate as a textual content for a graduate course” by the Bulletin of the American Mathematical Society, this quantity affords a survey of the primary concepts, ideas, and strategies that represent nonlinear practical evaluation. It affords in depth commentary and plenty of examples along with an abundance of fascinating, difficult workouts. Starting with protection of the event of the Brower diploma and its purposes, the textual content proceeds to examinations of diploma mappings for infinite dimensional areas and surveys of monotone and accretive mappings. Subsequent chapters discover the inverse perform principle, the implicit perform principle, and Newton’s strategies in addition to fixed-point principle, options to cones, and the Galerkin technique of finding out nonlinear equations. The last chapters handle extremal issues—together with convexity, Lagrange multipliers, and mini-max theorems—and provide an introduction into bifurcation principle. Suitable for graduate-level arithmetic programs, this quantity additionally serves as a reference for professionals

 

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