LEADER 03599nam 22005415 450 001 9910639895203321 005 20251113202503.0 010 $a3-031-04151-8 024 7 $a10.1007/978-3-031-04151-8 035 $a(MiAaPQ)EBC7165651 035 $a(Au-PeEL)EBL7165651 035 $a(CKB)25913868000041 035 $a(PPN)267813589 035 $a(OCoLC)1357019172 035 $a(DE-He213)978-3-031-04151-8 035 $a(EXLCZ)9925913868000041 100 $a20221227d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Analysis $eFunctions of Several Real Variables and Applications /$fby Nicola Fusco, Paolo Marcellini, Carlo Sbordone 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (678 pages) 225 1 $aLa Matematica per il 3+2,$x2038-5757 ;$v137 300 $aIncludes index. 311 08$aPrint version: Fusco, Nicola Mathematical Analysis Cham : Springer International Publishing AG,c2023 9783031041501 327 $a1 Sequences and Series of Functions -- 2 Metric Spaces and Banach Spaces -- 3 Functions of Several Variables -- 4 Ordinary Differential Equations -- 5 Linear Differential Equations -- 6 Curves and Integrals Along Curves -- 7 Differential One-Forms -- 8 Multiple Integrals -- 9 The Lebesgue Integral -- 10 Surfaces and Surface Integrals -- 11 Implicit Functions -- 12 Manifold in Rn and k-Forms. 330 $aThis work is a textbook on Mathematical Analysis written by expert lecturers in the field. This textbook, other than the classical differentiation and integration tools for functions of several real variables, metric spaces, ordinary differential equations, implicit function and so on, also provides opportunities to go deeper into certain topics: among them, the Ascoli-Arzelą theorem, the regularity of convex functions in R^n, L^p spaces and absolutely continuous functions, all topics that are paramount in modern Mathematical Analysis. Other instances include the Weierstrass theorem on polynomial approximation of continuous functions or Peano's existence theorem (typically only existence, without uniqueness) for nonlinear ODEs and systems under general assumptions. The content is discussed in an elementary way and, at a successive stage, some topics are examined from several, more penetrating, angles. The agile organization of the subject matter helps instructors to effortlesslydetermine which parts to present during lectures and where to stop. The authors believe that any textbook can contribute to the success of a lecture course only to a point, and the choices made by lecturers are decisive in this respect. The book is addressed to graduate or undergraduate honors students in Mathematics, Physics, Astronomy, Computer Science, Statistics and Probability, attending Mathematical Analysis courses at the Faculties of Science, Engineering, Economics and Architecture. 410 0$aLa Matematica per il 3+2,$x2038-5757 ;$v137 606 $aNumerical analysis 606 $aNumerical Analysis 615 0$aNumerical analysis. 615 14$aNumerical Analysis. 676 $a519.4 676 $a515 700 $aFusco$b Nicola$f1956-$09279 702 $aMarcellini$b Paolo 702 $aSbordone$b Carlo 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910639895203321 996 $aMathematical analysis$93089154 997 $aUNINA