Mathematical Modeling : Branching Beyond Calculus 1st Edition by Arangala – Ebook Instant Download/Delivery ISBN(s): 1498771033, 9781498771030
Product details:
- ISBN 10: 1498771033
- ISBN 13: 9781498771030
- Author: Arangala
Mathematical Modeling: Branching Beyond Calculus reveals the versatility of mathematical modeling. The authors present the subject in an attractive manner and flexibley manner. Students will discover that the topic not only focuses on math, but biology, engineering, and both social and physical sciences. The book is written in a way to meet the needs of any modeling course. Each chapter includes examples, exercises, and projects offering opportunities for more in-depth investigations into the world of mathematical models. The authors encourage students to approach the models from various angles while creating a more complete understanding. The assortment of disciplines covered within the book and its flexible structure produce an intriguing and promising foundation for any mathematical modeling course or for self-study. Key Features: Chapter projects guide more thorough investigations of the models The text aims to expand a student’s communication skills and perspectives WThe widespread applications are incorporated, even includinge biology and social sciences Its structure allows it to serve as either primary or supplemental text Uses Mathematica and MATLAB are used to develop models and computations
Table of contents:
1. Modeling Concepts, Visualization, and Interpretation
1.1 Modeling and Representation
1.2 Articulation and Interpretation Using Calculus
1.3 Transformations of Functions
1.4 Sensitivity
Chapter Synthesis
2. Modeling with Calculus
2.1 Using Derivatives and Rates of Change
2.2 Optimization
2.3 Accumulation
2.4 Volumes
2.5 Sequences and Series
Chapter Synthesis
3. Modeling with Linear Algebra
3.1 Systems of Linear Equations
3.2 Discrete Stochastic Processes
3.3 Optimization
3.4 Linear Techniques for Data Analysis – Least Squares Regression
3.5 Linear Techniques for Data Analysis – Seriation
3.6 Linear Techniques for Data Analysis – Singular Value Decompo – sition
Chapter Synthesis
4. Modeling with Differential Equations
4.1 Introduction and Terminology
4.2 First Order Differential Equations
4.3 Systems of First Order Differential Equations
4.4 Second Order Differential Equations
Chapter Synthesis
5. Additional Topics in Modeling
5.1 Monte Carlo Simulation
5.2 Equation-Based Models versus Agent-Based Models
5.3 Modeling Using Game Theory
5.4 Optimization with Voronoi Diagrams
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