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Advanced calculus for economics and financetheory and methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advanced calculus for economics and financeby Giulio Bottazzi.
Reminder of title:	theory and methods /
Author:	Bottazzi, Giulio.
Published:	Cham :Springer International Publishing :2023.
Description:	xi, 315 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Calculus.
Online resource:	https://doi.org/10.1007/978-3-031-30316-6
ISBN:	9783031303166$q(electronic bk.)

Advanced calculus for economics and financetheory and methods /
Bottazzi, Giulio.

Advanced calculus for economics and financetheory and methods /[electronic resource] :by Giulio Bottazzi. - Cham :Springer International Publishing :2023. - xi, 315 p. :ill., digital ;24 cm. - Classroom companion: economics,2662-2890. - Classroom companion: economics..

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.

ISBN: 9783031303166$q(electronic bk.)

Standard No.: 10.1007/978-3-031-30316-6doiSubjects--Topical Terms:

183091
Calculus.

LC Class. No.: QA303.2 / .B68 2023

Dewey Class. No.: 515

Advanced calculus for economics and financetheory and methods /
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245 1 0 $a Advanced calculus for economics and finance $h [electronic resource] : $b theory and methods / $c by Giulio Bottazzi.
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490 1 $a Classroom companion: economics, $x 2662-2890
505 0 $a 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.
520 $a 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.
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