02996nam 22006735 450 991029976140332120251113201309.03-319-12481-110.1007/978-3-319-12481-0(CKB)3710000000416774(SSID)ssj0001501551(PQKBManifestationID)11830238(PQKBTitleCode)TC0001501551(PQKBWorkID)11447068(PQKB)11678484(DE-He213)978-3-319-12481-0(MiAaPQ)EBC6311885(MiAaPQ)EBC5586693(Au-PeEL)EBL5586693(OCoLC)908763895(PPN)18602522X(EXLCZ)99371000000041677420150504d2015 u| 0engurnn|008mamaatxtccrAn Introduction to Modern Analysis /by Vicente Montesinos, Peter Zizler, Václav Zizler1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XXXI, 863 p. 339 illus., 5 illus. in color.) Bibliographic Level Mode of Issuance: Monograph3-319-12480-3 Real Numbers: The Basics -- Sequences and Series -- Measure -- Functions -- Function Convergence -- Metric Spaces -- Integration -- Convex Functions -- Fourier Series -- Basics on Descriptive Statistics -- Excursion to Functional Analysis -- Appendices. .Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.Functional analysisNumerical analysisMathematicsFunctional AnalysisNumerical AnalysisMathematicsFunctional analysis.Numerical analysis.Mathematics.Functional Analysis.Numerical Analysis.Mathematics.515.7Montesinos Vicenteauthttp://id.loc.gov/vocabulary/relators/aut550711Zizler Peterauthttp://id.loc.gov/vocabulary/relators/autZizler Václavauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299761403321An Introduction to Modern Analysis2508610UNINA