LEADER 03112nam 22005895 450 001 9910746089703321 005 20230701100233.0 010 $a3-031-30316-4 024 7 $a10.1007/978-3-031-30316-6 035 $a(CKB)27451975500041 035 $a(MiAaPQ)EBC30620514 035 $a(Au-PeEL)EBL30620514 035 $a(DE-He213)978-3-031-30316-6 035 $a(MiAaPQ)EBC30614494 035 $a(Au-PeEL)EBL30614494 035 $a(EXLCZ)9927451975500041 100 $a20230701d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced Calculus for Economics and Finance $eTheory and Methods /$fby Giulio Bottazzi 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (320 pages) 225 1 $aClassroom Companion: Economics,$x2662-2890 311 $a9783031303159 327 $aChapter 1. Preliminaries -- Chapter 2. Topology -- Chapter 3. Metric Spaces -- Chapter 4. Normed Spaces -- Chapter 5. Sequences and Series -- Chapter 6. Differential Calculus of functions of one variable -- Chapter 7. Functions of several variables -- Chapter 8. Integral Calculus -- Chapter 9. Measure Theory. 330 $aThis textbook provides a comprehensive introduction to mathematical calculus. Written for advanced undergraduate and graduate students, it teaches the fundamental mathematical concepts, methods and tools required for various areas of economics and the social sciences, such as optimization and measure theory. The reader will be introduced to topological, metric and normed spaces, learning about numerical sequences, series, and differential and integral calculus. These concepts are introduced using the axiomatic approach as a tool for logical reasoning, consistency, and formalization of ideas. The book follows a theorem-proving approach, stressing the limitations of applying the different theorems, while providing thought-provoking counter-examples. Each chapter features exercises that facilitate learning and allow students to apply and test important concepts and tools. 410 0$aClassroom Companion: Economics,$x2662-2890 606 $aEconometrics 606 $aSocial sciences?Mathematics 606 $aStatistics 606 $aQuantitative Economics 606 $aMathematics in Business, Economics and Finance 606 $aStatistics in Business, Management, Economics, Finance, Insurance 615 0$aEconometrics. 615 0$aSocial sciences?Mathematics. 615 0$aStatistics. 615 14$aQuantitative Economics. 615 24$aMathematics in Business, Economics and Finance. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 676 $a515.02433 700 $aBottazzi$b Giulio$01428041 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910746089703321 996 $aAdvanced Calculus for Economics and Finance$93563126 997 $aUNINA