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Mathematical finance refers to a branch of applied mathematics that deals with mathematical modeling of financial markets and problems. It is an emerging field that aims to apply mathematical formulas and modeling for creating financial resource values and pricing structures. The disciplines of financial engineering and computational finance are heavily interlinked with mathematical finance. Mathematical economics is the use of mathematical techniques for representing theories and examining issues related to economics. It employs mathematical principles and instruments for developing economic ideas and examines economic quandaries. Mathematics enables the formulation of meaningful, testable hypotheses about broad and complex topics that would be difficult to express informally. Furthermore, it enables the formation of positive and particular claims associated with debatable topics that are otherwise unattainable without the use of mathematics. This book aims to shed light on the applications of mathematical methods for finance and economics. It is a resource guide for experts as well as students.