Advanced Calculus for Economics and Finance
Theory and Methods
Series: Classroom Companion: Economics;
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34 037 Ft
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Edition number 2023
- Publisher Springer
- Date of Publication 2 July 2023
- Number of Volumes 1 pieces, Book
- ISBN 9783031303159
- Binding Hardback
- No. of pages315 pages
- Size 235x155 mm
- Weight 732 g
- Language English
- Illustrations 28 Illustrations, black & white 517
Categories
Short description:
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.
MoreLong description:
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.
Table of Contents:
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.
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Advanced Calculus for Economics and Finance: Theory and Methods
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