001452094 000__ 04243cam\a22005897i\4500 001452094 001__ 1452094 001452094 003__ OCoLC 001452094 005__ 20230310003340.0 001452094 006__ m\\\\\o\\d\\\\\\\\ 001452094 007__ cr\cn\nnnunnun 001452094 008__ 230110s2022\\\\sz\a\\\\o\\\\\000\0\eng\d 001452094 019__ $$a1356793784$$a1356797397$$a1357019172 001452094 020__ $$a9783031041518$$qelectronic book 001452094 020__ $$a3031041518$$qelectronic book 001452094 020__ $$z9783031041501 001452094 020__ $$z303104150X 001452094 0247_ $$a10.1007/978-3-031-04151-8$$2doi 001452094 035__ $$aSP(OCoLC)1357149560 001452094 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCQ$$dYDX$$dUKAHL 001452094 0411_ $$aeng$$hita 001452094 049__ $$aISEA 001452094 050_4 $$aQA300$$b.F87 2022 001452094 08204 $$a519.5/35$$223/eng/20230109 001452094 1001_ $$aFusco, Nicola,$$d1956-$$eauthor.$$1https://isni.org/isni/0000000117851176 001452094 24010 $$aAnalisi matematica.$$lEnglish 001452094 24510 $$aMathematical analysis :$$bfunctions of several real variables and applications /$$cNicola Fusco, Paolo Marcellini, Carlo Sbordone ; translated by Simon G. Chiossi. 001452094 264_1 $$aCham :$$bSpringer,$$c2022. 001452094 300__ $$a1 online resource (1 volume) :$$billustrations (black and white, and colour). 001452094 336__ $$atext$$btxt$$2rdacontent 001452094 337__ $$acomputer$$bc$$2rdamedia 001452094 338__ $$aonline resource$$bcr$$2rdacarrier 001452094 4901_ $$aUnitext. La Matematica per il 3+2 ;$$vvolume 137 001452094 500__ $$aIncludes index. 001452094 500__ $$aTranslated from the Italian. 001452094 5050_ $$a1 Sequences and Series of Functions -- 2 Metric Spaces and Banach Spaces -- 3 Functions of Several Variables -- 4 Ordinary Differential Equations -- 5 Linear Differential Equations -- 6 Curves and Integrals Along Curves -- 7 Differential One-Forms -- 8 Multiple Integrals -- 9 The Lebesgue Integral -- 10 Surfaces and Surface Integrals -- 11 Implicit Functions -- 12 Manifold in Rn and k-Forms. 001452094 506__ $$aAccess limited to authorized users. 001452094 520__ $$aThis work is a textbook on Mathematical Analysis written by expert lecturers in the field. This textbook, other than the classical differentiation and integration tools for functions of several real variables, metric spaces, ordinary differential equations, implicit function and so on, also provides opportunities to go deeper into certain topics: among them, the Ascoli-Arzela theorem, the regularity of convex functions in R^n, L^p spaces and absolutely continuous functions, all topics that are paramount in modern Mathematical Analysis. Other instances include the Weierstrass theorem on polynomial approximation of continuous functions or Peano's existence theorem (typically only existence, without uniqueness) for nonlinear ODEs and systems under general assumptions. The content is discussed in an elementary way and, at a successive stage, some topics are examined from several, more penetrating, angles. The agile organization of the subject matter helps instructors to effortlessly determine which parts to present during lectures and where to stop. The authors believe that any textbook can contribute to the success of a lecture course only to a point, and the choices made by lecturers are decisive in this respect. The book is addressed to graduate or undergraduate honors students in Mathematics, Physics, Astronomy, Computer Science, Statistics and Probability, attending Mathematical Analysis courses at the Faculties of Science, Engineering, Economics and Architecture. 001452094 588__ $$aDescription based on print version record. 001452094 650_0 $$aMathematical analysis. 001452094 650_0 $$aVariables (Mathematics) 001452094 655_0 $$aElectronic books. 001452094 7001_ $$aMarcellini, Paolo,$$eauthor.$$1https://isni.org/isni/0000000117424203 001452094 7001_ $$aSbordone, Carlo,$$eauthor.$$1https://isni.org/isni/0000000061495407 001452094 7001_ $$aChiossi, Simon G.,$$etranslator.$$1https://isni.org/isni/0000000423148833 001452094 77608 $$iPrint version:$$aFusco, Nicola, 1956-$$tMathematical analysis.$$dCham : Springer, 2022$$z9783031041501$$w(OCoLC)1338680677 001452094 830_0 $$aUnitext.$$pMatematica per il 3+2 ;$$vv. 137. 001452094 852__ $$bebk 001452094 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-04151-8$$zOnline Access$$91397441.1 001452094 909CO $$ooai:library.usi.edu:1452094$$pGLOBAL_SET 001452094 980__ $$aBIB 001452094 980__ $$aEBOOK 001452094 982__ $$aEbook 001452094 983__ $$aOnline 001452094 994__ $$a92$$bISE