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Advanced Calculus for Economics and Finance : Theory and Methods / by Giulio Bottazzi
(Classroom Companion: Economics. ISSN:26622890)

Publisher (Cham : Springer International Publishing : Imprint: Springer)
Year 2023
Edition 1st ed. 2023.
Authors *Bottazzi, Giulio author
SpringerLink (Online service)

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OB00194167 Springer Economics and Finance eBooks (電子ブック) 9783031303166

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Material Type E-Book
Media type 機械可読データファイル
Size XI, 315 p. 28 illus : online resource
Notes 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
HTTP:URL=https://doi.org/10.1007/978-3-031-30316-6
Subjects LCSH:Econometrics
LCSH:Social sciences—Mathematics
LCSH:Statistics 
FREE:Quantitative Economics
FREE:Mathematics in Business, Economics and Finance
FREE:Statistics in Business, Management, Economics, Finance, Insurance
Classification LCC:HB139-141
DC23:330.9
ID 8000093315
ISBN 9783031303166

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