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Mathematical Methods and Quantum Mathematics for Economics and Finance

Authors: Baaquie, Belal Ehsan

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  • 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
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eBook 74,89 €
price for India (gross)
  • ISBN 978-981-15-6611-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 89,99 €
price for India (gross)
About this Textbook

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; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.

About the authors

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.

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook 74,89 €
price for India (gross)
  • ISBN 978-981-15-6611-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 89,99 €
price for India (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Methods and Quantum Mathematics for Economics and Finance
Authors
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-6611-0
DOI
10.1007/978-981-15-6611-0
Hardcover ISBN
978-981-15-6610-3
Edition Number
1
Number of Pages
XXIII, 432
Number of Illustrations
47 b/w illustrations, 31 illustrations in colour
Topics