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A textbook on modeling that happens to focus on financial instruments for the management of economic risk. The book combines a study of mathematical modeling with exposure to the tools of probability theory, difference and differential equations, numerical simulation, data analysis, and mathematical analysis.
Presents the insights of abstract algebra in a welcoming and accessible way. The book succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. The exposition is clear and conversational throughout. The book has numerous exercises in each section.
A thoroughly modern textbook for a differential equations course. The examples and exercises emphasize modelling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems.
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