03112nam 22005895 450 991074608970332120230701100233.03-031-30316-410.1007/978-3-031-30316-6(CKB)27451975500041(MiAaPQ)EBC30620514(Au-PeEL)EBL30620514(DE-He213)978-3-031-30316-6(MiAaPQ)EBC30614494(Au-PeEL)EBL30614494(EXLCZ)992745197550004120230701d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAdvanced Calculus for Economics and Finance Theory and Methods /by Giulio Bottazzi1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (320 pages)Classroom Companion: Economics,2662-28909783031303159 Chapter 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.This 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.Classroom Companion: Economics,2662-2890EconometricsSocial sciences—MathematicsStatisticsQuantitative EconomicsMathematics in Business, Economics and FinanceStatistics in Business, Management, Economics, Finance, InsuranceEconometrics.Social sciences—Mathematics.Statistics.Quantitative Economics.Mathematics in Business, Economics and Finance.Statistics in Business, Management, Economics, Finance, Insurance.515.02433Bottazzi Giulio1428041MiAaPQMiAaPQMiAaPQBOOK9910746089703321Advanced Calculus for Economics and Finance3563126UNINA