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EXERCISES IN ANALYSIS IBD

LESZEK GASI?SKI / NIKOLAOS S PAPAGEORGIOU
SPRINGER
06 / 2018
9783319802213
Inglés

Sinopsis

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods.áEach of five topics corresponds to a different chapter witháinclusion of the basic theory and accompanying main definitions and results,followed by suitable comments and remarks for better understanding of theámaterial. Exercises/problems are presented for each topic, withásolutions available at the end of each chapter. The entire collection of exercisesáoffers a balanced and useful picture for the application surrounding each topic.This nearly encyclopedic coverage of exercises in mathematical analysis is theáfirst of its kind and is accessible to a wide readership. Graduate students willáfind the collection of problems valuable in preparation for their preliminary oráqualifying exams as well as for testing their deeper understanding of theámaterial. Exercises are denoted by degree of difficulty. Instructors teachingácourses that include one or all of the above-mentioned topics will find theáexercises of great help in course preparation. Researchers in analysis may findáthis Work useful as a summary of analytic theories published in one accessibleávolume.