A First Course in Numerical Methods
Computational Mathematical Modeling: An Integrated Approach Across Scales is designed for classroom use and has been extensively tested by the authors. The homework problems have been carefully designed to develop students computational skills. The book is based on an unorthodox combination of deterministic and probablistic methodologies that are naturally bridged through examples; it painlessly introduces students to advanced themes in a natural progression and includes suggestions for further reading.
Audience: This book is intended for advanced undergraduate and beginning graduate students in mathematics, engineering, and physical and life sciences.
Contents Chapter 1: Review of Multivariate Calculus and Differential Equations; Chapter 2: Compartment Models; Chapter 3: From Compartment Models to Continuous Models; Chapter 4: Dimensional Analysis and Scaling; Chapter 5: Introduction to Stochastic Modeling; Chapter 6: Modeling of Noise; Chapter 7: Modeling with Waiting Processes; Chapter 8: Markov Processes; Chapter 9: Cellular Automata, Agent Based Modeling
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