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MATHEMATICAL METHODS AND QUANTUM MATHEMATICS FOR ECONOMICS A IBD

BELAL EHSAN BAAQUIE
SPRINGER
08 / 2020
9789811566103
Inglés

Sinopsis

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.áThe 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.ááIn 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 MertonâÇÖs theory of corporate debt are among topics analyzed using quantum mathematics.