Download Nonlinear Functional Analysis (Dover Books on Mathematics) by Klaus Deimling PDF

By Klaus Deimling

Hailed as "eminently appropriate as a textual content for a graduate direction" via the Bulletin of the yankee Mathematical Society, this quantity deals a survey of the most rules, techniques, and strategies that represent nonlinear practical research. It deals large remark and plenty of examples as well as an abundance of attention-grabbing, hard routines.
Starting with insurance of the advance of the Brower measure and its functions, the textual content proceeds to examinations of measure mappings for limitless dimensional areas and surveys of monotone and accretive mappings. next chapters discover the inverse functionality conception, the implicit functionality idea, and Newton's equipment in addition to fixed-point conception, ideas to cones, and the Galerkin approach to learning nonlinear equations. the ultimate chapters handle extremal problems—including convexity, Lagrange multipliers, and mini-max theorems—and provide an creation into bifurcation thought. compatible for graduate-level arithmetic classes, this quantity additionally serves as a reference for professionals.

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