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Computational Mathematical Modeling: An Integrated Approach Across Scales
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Bibliographic Detail
Publisher Society for Industrial & Applied
Publication date December 17, 2013
Pages 222
Binding Paperback
Book category Adult Non-Fiction
ISBN-13 9781611972474
ISBN-10 1611972477
Dimensions 0.40 by 6.75 by 9.75 in.
Original list price $71.50
Amazon.com says people who bought this book also bought:
A First Course in Numerical Methods
Summaries and Reviews
Amazon.com description: Product Description: Interesting, real-world mathematical modeling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. This book concentrates on two modeling paradigms: the macroscopic, in which the authors describe phenomena in terms of time evolution via ordinary differential equations, and the microscopic, which requires knowledge of random events and probability. The text emphasizes the development of computational skills to construct predictive models and analyze the results. To elucidate the concepts, a wealth of examples and portions of MATLAB code used by the authors are included.

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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Paperback
Book cover for 9781611972474
 
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With Daniela Calvetti | from Society for Industrial & Applied (December 17, 2013)
9781611972474 | details & prices | 222 pages | 6.75 × 9.75 × 0.40 in. | 0.95 lbs | List price $71.50
About: Interesting, real-world mathematical modeling problems are complex and can usually be studied at different scales.

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