Mathematical Methods and Quantum Mathematics for Economics and Finance
Autor Belal Ehsan Baaquieen Limba Engleză Paperback – 12 aug 2021
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 economicsand 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; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.
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Specificații
ISBN-13: 9789811566134
ISBN-10: 9811566135
Pagini: 432
Ilustrații: XXIII, 432 p. 78 illus., 31 illus. in color.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.69 kg
Ediția:1st ed. 2020
Editura: Springer Nature Singapore
Colecția Springer
Locul publicării:Singapore, Singapore
ISBN-10: 9811566135
Pagini: 432
Ilustrații: XXIII, 432 p. 78 illus., 31 illus. in color.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.69 kg
Ediția:1st ed. 2020
Editura: Springer Nature Singapore
Colecția Springer
Locul publicării:Singapore, Singapore
Cuprins
Acknowledgements.- Preface.- PART I : Introduction.- PART II : Linear Algebra.- PART III : Calculus.- PART IV : Probability Theory.- PART V: Quantum Mathematics.- Bibliography.- Index
Notă biografică
Prof. Belal Ehsan Baaquie holds a B.S. in Physics from Caltech and a Ph.D. in Theoretical Physics from Cornell University, USA. His main research interest is in the study and application of mathematical methods from quantum field theory. He has applied the mathematical formalism of field theory to finance and been a major contributor to the emerging field of quantum finance. His current focus is on developing the formalism of quantum finance and applying it to option pricing, corporate coupon bonds, and the theory of interest rates, as well as the study of equity, foreign exchange, and commodities. He is also applying methodologies from statistical mechanics and quantum field theory to the study of microeconomics and macroeconomics.
Textul de pe ultima copertă
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 economicsand 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.
Caracteristici
Provides a concise and up-to-date introduction for all graduate students studying finance/quantitative finance Includes a wealth of examples and exercises to promote student comprehension Discusses the Black-Scholes equation to help students understand the mathematical underpinning of financial instruments