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Mathematical methods and quantum mat...

Baaquie, Belal Ehsan.

Mathematical methods and quantum mathematics for economics and finance

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical methods and quantum mathematics for economics and financeby Belal Ehsan Baaquie.
Author:	Baaquie, Belal Ehsan.
Published:	Singapore :Springer Singapore :2020.
Description:	xxiii, 432 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Economics, Mathematical.
Online resource:	https://doi.org/10.1007/978-981-15-6611-0
ISBN:	9789811566110$q(electronic bk.)

Mathematical methods and quantum mathematics for economics and finance
Baaquie, Belal Ehsan.

Mathematical methods and quantum mathematics for economics and finance[electronic resource] /by Belal Ehsan Baaquie. - Singapore :Springer Singapore :2020. - xxiii, 432 p. :ill., digital ;24 cm.

Acknowledgements -- Preface -- PART I : Introduction -- PART II : Linear Algebra -- PART III : Calculus -- PART IV : Probability Theory -- PART V: Quantum Mathematics -- Bibliography -- Index.

Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance-and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided - in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics, and the topics covered focus on analyzing Black-Scholes option theory and Merton's theory of corporate debt.

ISBN: 9789811566110$q(electronic bk.)

Standard No.: 10.1007/978-981-15-6611-0doiSubjects--Topical Terms:

182903
Economics, Mathematical.

LC Class. No.: HB135 / .B337 2020

Dewey Class. No.: 330.0151

Mathematical methods and quantum mathematics for economics and finance
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505 0 $a Acknowledgements -- Preface -- PART I : Introduction -- PART II : Linear Algebra -- PART III : Calculus -- PART IV : Probability Theory -- PART V: Quantum Mathematics -- Bibliography -- Index.
520 $a Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance-and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided - in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics, and the topics covered focus on analyzing Black-Scholes option theory and Merton's theory of corporate debt.
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