Exercises in Analysis | Buch

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Cover: 9783319061757 | Exercises in Analysis 01 | Leszek Gasinski (u. a.) | Buch | Englisch

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Sprache: Englisch

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Beschreibung

Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond 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. At least 170 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.

Über den Autor

Leszek Gasi¿ksi is the Chair of Optimization and Control Theory in the Institute of Computer Science at Jagiellonian University in Krakow, Poland. He is the co-author, along with Nikolaos S. Papageorgiou, of "Nonlinear Analysis" (CRC 2005) and "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems" (CRC 2006). Nikolaos S. Papageorgiou is a Professor of Mathematics in the School of Applied Mathematical and Physical Sciences at National Technical University in Athens, Greece. He is the co-author, along with Leszek Gasi¿ksi, of "Nonlinear Analysis" (CRC 2005) and "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems" (CRC 2006).

Zusammenfassung

Contains exercises ranging from easy to difficult, with level of difficulty designated

Features an encyclopedic volume of exercises in five core topics of mathematical analysis

Prepares students well for qualifying exams and tests their depth of understanding of the material

Includes supplementary material: [...]

Inhaltsverzeichnis

1. Metric Spaces.- 2. Topological Spaces.- 3. Measure, Integral, and Martingales.- 4. Measures and Topology.- 5. Functional Analysis.- Other Problem Books.- List of Symbols.- Index.

Details

Erscheinungsjahr:	2014
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	1048
Reihe:	Problem Books in Mathematics
Inhalt:	x 1037 S. 5 s/w Illustr. 112 farbige Illustr. 1037 p. 117 illus. 112 illus. in color.
ISBN-13:	9783319061757
ISBN-10:	3319061755
Sprache:	Englisch
Herstellernummer:	86348757
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Papageorgiou, Nikolaos S. Gasi¿ksi, Leszek
Auflage:	2014
Hersteller:	Springer International Publishing Problem Books in Mathematics
Maße:	241 x 160 x 62 mm
Von/Mit:	Nikolaos S. Papageorgiou (u. a.)
Erscheinungsdatum:	07.08.2014
Gewicht:	1,712 kg

preigu-id: 105217647