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.
General
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