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100   $a20210618d2020      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMathematical methods and quantum mathematics for economics and finance /$fBelal Ehsan Baaquie
205   $a1st ed. 2020.
210  1$aSingapore :$cSpringer,$d[2020]
210  4$d©2020
215   $a1 online resource (XXIII, 432 p. 78 illus., 31 illus. in color.) 
311   $a981-15-6610-0 
327   $aAcknowledgements -- Preface -- PART I : Introduction -- PART II : Linear Algebra -- PART III : Calculus -- PART IV : Probability Theory -- PART V: Quantum Mathematics -- Bibliography -- Index.
330   $aGiven 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.
606   $aEconomics
606   $aEconomics, Mathematical
606   $aStatistics
615  0$aEconomics.
615  0$aEconomics, Mathematical.
615  0$aStatistics.
676   $a330
700   $aBaaquie$b B. E.$0853400
801  0$bMiAaPQ
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906   $aBOOK
912   $a9910416133703321
996   $aMathematical methods and quantum mathematics for economics and finance$91905552
997   $aUNINA