Advanced Calculus for Economics and Finance - Bottazzi, Giulio; - Prospero Internet Bookshop

Advanced Calculus for Economics and Finance: Theory and Methods
 
Product details:

ISBN13:9783031303159
ISBN10:3031303156
Binding:Hardback
No. of pages:315 pages
Size:235x155 mm
Weight:732 g
Language:English
Illustrations: 28 Illustrations, black & white
533
Category:

Advanced Calculus for Economics and Finance

Theory and Methods
 
Edition number: 2023
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Book
 
Normal price:

Publisher's listprice:
EUR 80.24
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34 037 HUF (32 416 HUF + 5% VAT)
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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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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.

Long 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.