02589nam0 2200541 i 450 VAN002343720231128034135.802978-03-87974-37-820040910d1991 |0itac50 baengUS|||| |||||ˆA ‰first course in real analysisMurray H. Protter, Charles B. Morrey, Jr2. edNew YorkSpringer1991XVIII, 534 p.ill.25 cm001VAN00240192001 Undergraduate texts in mathematics210 Berlin [etc.]Springer26-XXReal functions [MSC 2020]VANC019778MF26A03Foundations: limits and generalizations, elementary topology of the line [MSC 2020]VANC020031MF26B12Calculus of vector functions [MSC 2020]VANC023343MF26A15Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020]VANC024614MF26A24Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020]VANC024616MF26A42Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020]VANC024617MFAnalysisKW:KBoundary Element MethodsKW:KCalculusKW:KDifferential calculusKW:KImprintKW:KIntegral calculusKW:KMathematicsKW:KProblem SolvingKW:KProvingKW:KReal analysisKW:KReal numbersKW:KSystemsKW:KTheorem provingKW:KUSNew YorkVANL000011ProtterMurray H.VANV01954440750MorreyCharles B.VANV01954529283Springer <editore>VANV108073650ITSOL20240614RICABIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08BIBLIOTECA DEL DIPARTIMENTO DI ARCHITETTURA E DISEGNO INDUSTRIALEIT-CE0107VAN01VAN0023437BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08PREST 26-XX 3488 08 2678 II 20060911 BIBLIOTECA DEL DIPARTIMENTO DI ARCHITETTURA E DISEGNO INDUSTRIALE01PREST IIIAa141 01 1510 20050926 First course in real analysis83021UNICAMPANIA03293nam 22007215 450 991033825750332120251113184307.03-030-16489-610.1007/978-3-030-16489-8(CKB)4100000008280549(DE-He213)978-3-030-16489-8(MiAaPQ)EBC5925719(PPN)236521853(EXLCZ)99410000000828054920190522d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierLipschitz Functions /by Ştefan Cobzaş, Radu Miculescu, Adriana Nicolae1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XIV, 593 p. 2 illus.)Lecture Notes in Mathematics,1617-9692 ;22413-030-16488-8 Includes bibliographical references and index.The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.Lecture Notes in Mathematics,1617-9692 ;2241Functional analysisFunctions of real variablesApproximation theoryOperator theoryConvex geometryDiscrete geometryFunctional AnalysisReal FunctionsApproximations and ExpansionsOperator TheoryConvex and Discrete GeometryFunctional analysis.Functions of real variables.Approximation theory.Operator theory.Convex geometry.Discrete geometry.Functional Analysis.Real Functions.Approximations and Expansions.Operator Theory.Convex and Discrete Geometry.515.7515.7Cobzaş Ştefanauthttp://id.loc.gov/vocabulary/relators/aut769117Miculescu Raduauthttp://id.loc.gov/vocabulary/relators/autNicolae Adrianaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910338257503321Lipschitz Functions2534321UNINA