LEADER 03460nam 22005775 450 001 9910552746903321 005 20251113205122.0 010 $a3-030-91863-7 024 7 $a10.1007/978-3-030-91863-7 035 $a(MiAaPQ)EBC6915725 035 $a(Au-PeEL)EBL6915725 035 $a(CKB)21391761400041 035 $a(PPN)261518755 035 $a(OCoLC)1303083986 035 $a(DE-He213)978-3-030-91863-7 035 $a(EXLCZ)9921391761400041 100 $a20220308d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a100+1 Problems in Advanced Calculus $eA Creative Journey through the Fjords of Mathematical Analysis for Beginners /$fby Paolo Toni, Pier Domenico Lamberti, Giacomo Drago 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (233 pages) 225 1 $aProblem Books in Mathematics,$x2197-8506 311 08$aPrint version: Toni, Paolo 100+1 Problems in Advanced Calculus Cham : Springer International Publishing AG,c2022 9783030918620 327 $aSummary of basic theory of inequalities -- Sets, sequences, functions -- Limits of functions, continuity -- Differentiation -- Classical theorems of differential calculus -- Monotonicity, concavity, minima, maxima, inflection points -- Graphs of functions -- Integrals. 330 $aThis book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination. In this work, all the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l?Hospital), graphs of functions, and Riemann integrals and antiderivatives. Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented. Formalism is kept at a minimum, and solutions can be found atthe end of each chapter. Instructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well. 410 0$aProblem Books in Mathematics,$x2197-8506 606 $aFunctions of real variables 606 $aMathematical analysis 606 $aReal Functions 606 $aAnalysis 615 0$aFunctions of real variables. 615 0$aMathematical analysis. 615 14$aReal Functions. 615 24$aAnalysis. 676 $a515.8 676 $a515 700 $aToni$b Paolo$057166 702 $aLamberti$b Pier Domenico 702 $aDrago$b Giacomo$f1914- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910552746903321 996 $a100+1 Problems in Advanced Calculus$92804396 997 $aUNINA