With the third edition, the book moves from the De Gruyter Studies in Mathematics series to the De Gruyter graduate textbook series, so F繹llner (emeritus, Humboldt U., Berlin) and Schied (U. of
Mannheim) have included more than 100 exercises. They have typically used the book in an introductory text for two major areas, either combined into one course or in two separate courses. The
first area comprises static and dynamic arbitrage theory in discrete time, and the second deals with mathematical aspects of financial risk. More advanced material is also included that can be
used in longer or special-topic courses. In this edition, they join other academics and practitioners by paying more attention to the problem of model uncertainty in finance and economics.
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