LEADER 03965nam  22006735  450 
001 9910254073103321
005 20200705174504.0
010   $a3-319-27817-7
024 7 $a10.1007/978-3-319-27817-9
035   $a(CKB)3710000000717739
035   $a(DE-He213)978-3-319-27817-9
035   $a(MiAaPQ)EBC6312697
035   $a(MiAaPQ)EBC5588114
035   $a(Au-PeEL)EBL5588114
035   $a(OCoLC)957503248
035   $a(PPN)19407725X
035   $a(EXLCZ)993710000000717739
100   $a20160503d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aExercises in Analysis $ePart 2: Nonlinear Analysis /$fby Leszek Gasi?ski, Nikolaos S. Papageorgiou
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (VIII, 1062 p.) 
225 1 $aProblem Books in Mathematics,$x0941-3502
311   $a3-319-27815-0 
320   $aIncludes bibliographical references and index.
327   $a1. Function Spaces -- 2. Nonlinear and Multivalued Maps -- 3. Smooth and Nonsmooth Calculus -- 4. Degree Theory. Fixed Point Theory -- 5. Variational and Topological Methods -- Index.
330   $aThis second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for better understanding of the material. Exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.
410  0$aProblem Books in Mathematics,$x0941-3502
606   $aFunctional analysis
606   $aMeasure theory
606   $aProbabilities
606   $aTopology
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000
615  0$aFunctional analysis.
615  0$aMeasure theory.
615  0$aProbabilities.
615  0$aTopology.
615 14$aFunctional Analysis.
615 24$aMeasure and Integration.
615 24$aProbability Theory and Stochastic Processes.
615 24$aTopology.
676   $a515.7
700   $aGasi?ski$b Leszek$4aut$4http://id.loc.gov/vocabulary/relators/aut$0621801
702   $aPapageorgiou$b Nikolaos S$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254073103321
996   $aExercises in Analysis$92196297
997   $aUNINA