Introduction To Modeling And Simulation With Matlab® And Python by Steven I. Gordon, Taylor & Francis

Description

Taylor & Francis Introduction To Modeling And Simulation With Matlab® And Python by Steven I. Gordon

Introduction to Modeling and Simulation with MATLAB and Python is intended for students and professionals in science, social science, and engineering that wish to learn the principles of computer modeling, as well as basic programming skills. The book content focuses on meeting a set of basic modeling and simulation competencies that were developed as part of several National Science Foundation grants. Even though computer science students are much more expert programmers, they are not often given the opportunity to see how those skills are being applied to solve complex science and engineering problems and may also not be aware of the libraries used by scientists to create those models._x000D__x000D__x000D_The book interleaves chapters on modeling concepts and related exercises with programming concepts and exercises. The authors start with an introduction to modeling and its importance to current practices in the sciences and engineering. They introduce each of the programming environments and the syntax used to represent variables and compute mathematical equations and functions. As students gain more programming expertise, the authors return to modeling concepts, providing starting code for a variety of exercises where students add additional code to solve the problem and provide an analysis of the outcomes. In this way, the book builds both modeling and programming expertise with a "just-in-time" approach so that by the end of the book, students can take on relatively simple modeling example on their own._x000D__x000D__x000D_Each chapter is supplemented with references to additional reading, tutorials, and exercises that guide students to additional help and allows them to practice both their programming and analytical modeling skills. In addition, each of the programming related chapters is divided into two parts - one for MATLAB and one for Python. In these chapters, the authors also refer to additional online tutorials that students can use if they are having difficulty with any of the topics._x000D__x000D__x000D_The book culminates with a set of final project exercise suggestions that incorporate both the modeling and programming skills provided in the rest of the volume. Those projects could be undertaken by individuals or small groups of students._x000D__x000D__x000D_The companion website at http://www.intromodeling.com provides updates to instructions when there are substantial changes in software versions, as well as electronic copies of exercises and the related code. The website also offers a space where people can suggest additional projects they are willing to share as well as comments on the existing projects and exercises throughout the book. Solutions and lecture notes will also be available for qualifying instructors._x000D_ _x000D_ INTRODUCTION TO COMPUTATIONAL MODELING_x000D_ The Importance of Computational Science_x000D_ How Modeling Has Contributed to Advances in Science and Engineering_x000D_ The Modeling Process_x000D_ Exercises_x000D_ References_x000D_ _x000D_ _x000D_ INTRODUCTION TO PROGRAMMING ENVIRONMENTS_x000D_ The MATLAB Programming Environment_x000D_ The Python Environment_x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ DETERMINISTIC LINEAR MODELS_x000D_ Selecting a Mathematical Representation for a Model _x000D_ Linear Models and Linear Equations_x000D_ Linear Interpolation_x000D_ Systems of Linear Equations_x000D_ Limitations of Linear Models_x000D_ Exercises_x000D_ References_x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ ARRAY MATHEMATICS IN MATLAB AND PYTHON_x000D_ Introduction to Arrays and Matrices_x000D_ Brief Overview of Matrix Mathematics_x000D_ Matrix Operations in MATLAB_x000D_ Matrix Operations in Python_x000D_ Exercises_x000D_ _x000D_ _x000D_ PLOTTING_x000D_ Plotting in MATLAB_x000D_ Plotting in Python_x000D_ Exercises_x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ PROBLEM SOLVING_x000D_ Overview_x000D_ Bottle Filling Example_x000D_ Tools for Program Development_x000D_ Bottle Filling Example continued_x000D_ Exercises _x000D_ _x000D_ _x000D_ CONDITIONAL STATEMENTS_x000D_ Relational Operators_x000D_ Logical Operators_x000D_ Conditional Statements_x000D_ Exercises_x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ ITERATION AND LOOPS_x000D_ For Loops_x000D_ While Loops_x000D_ Control Statements_x000D_ Exercises_x000D_ _x000D_ _x000D_ NON-LINEAR AND DYNAMIC MODELS_x000D_ Modeling Complex Systems_x000D_ Systems Dynamics_x000D_ Modeling Physical and Social Phenomena_x000D_ References _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ ESTIMATING MODELS FROM EMPIRICAL DATA_x000D_ Using Data to Build Forecasting Models_x000D_ Fitting a Mathematical Function to Data_x000D_ Exercises_x000D_ References _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ STOCHASTIC MODELS_x000D_ Introduction_x000D_ Creating a Stochastic Model_x000D_ Random Number Generators in MATLAB and Python_x000D_ A Simple Code Example_x000D_ Examples of Larger Scale Stochastic Models_x000D_ Exercises_x000D_ References _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ FUNCTIONS_x000D_ MATLAB Functions_x000D_ Python Functions_x000D_ Exercises_x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ VERIFICATION, VALIDATION, AND ERRORS_x000D_ Introduction_x000D_ Errors_x000D_ Verification and Validation_x000D_ Exercises_x000D_ References _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ _x000D_ CAPSTONE PROJECTS_x000D_ Introduction_x000D_ Project Goals_x000D_ Project Descriptions_x000D_