Introduction to computational models with Python

Content: Problem SolvingProblem Solving and Computing INTRODUCTION COMPUTER PROBLEM SOLVING ELEMENTARY CONCEPTS DEVELOPING COMPUTATIONAL MODELS TEMPERATURE CONVERSION AREA AND PERIMETER OF A CIRCLE CATEGORIES OF COMPUTATIONAL MODELS GENERAL PROCESS OF SOFTWARE DEVELOPMENT MODULAR DESIGN PROGRAMMING LANGUAGES PRECISION, ACCURACY, AND ERRORS Simple Python Programs INTRODUCTION COMPUTING WITH PYTHON PROGRAMS DATA DEFINITIONS SIMPLE PYTHON PROGRAMS A SIMPLE PROBLEM: TEMPERATURE CONVERSIONDISTANCE BETWEEN TWO POINTS GENERAL STRUCTURE OF A PYTHON PROGRAM SIMPLE FUNCTIONS Basic Programming Principles with PythonModules and Functions INTRODUCTION MODULAR DECOMPOSITION FUNCTIONS CATEGORIES OF FUNCTIONS BUILT-IN MATHEMATICAL FUNCTIONSProgram Structures INTRODUCTION ALGORITHMS IMPLEMENTING ALGORITHMS ALGORITHM DESCRIPTION DESIGN STRUCTURESCOMPUTING AREA AND CIRCUMFERENCE The Selection Program Structure INTRODUCTION CONDITIONAL EXPRESSIONS THE SELECTION STRUCTUREA COMPUTATIONAL MODEL WITH SELECTION MULTI-LEVEL SELECTION The Repetition Program Structure INTRODUCTION REPETITION WITH THE WHILE-LOOP REPEAT-UNTIL LOOP FOR-LOOP STRUCTURE Data Structures, Object Orientation, and RecursionPython Lists, Strings, and Other Data Sequences INTRODUCTION LISTS TEMPERATURE CONVERSION PROBLEM LIST COMPREHENSIONS LISTS OF LISTS TUPLESDICTIONARIES STRINGS SIMPLE NUMERICAL APPLICATIONS USING LISTS Object Orientation INTRODUCTION OBJECTS IN THE PROBLEM DOMAIN DEFINING CLASSES DESCRIBING OBJECTS INTERACTION BETWEEN TWO OBJECTS DESIGN WITH CLASSES Object-Oriented Programs INTRODUCTION PROGRAMS DEFINITION OF CLASSES CLASS DEFINITIONS IN PYTHON CREATING AND MANIPULATING OBJECTS COMPLETE PROGRAM WITH A CLASS SCOPE OF VARIABLES CLASS HIERARCHY WITH INHERITANCE DEFINING CLASSES WITH INHERITANCEOVERLOADING AND OVERRIDING METHODS Linked Lists INTRODUCTION NODES AND LINKED LISTS LINKED LISTS WITH TWO ENDS DOUBLE-LINKED LISTS STACKS AND QUEUES DATA STRUCTURESRecursion INTRODUCTION RECURSIVE APPROACH TO PROBLEM SOLVING RECURSIVE DEFINITION OF FUNCTIONS ANALYZING RECURSION Fundamental Computational Models with PythonComputational Models with Arithmetic Growth INTRODUCTION MATHEMATICAL MODELING MODELS WITH ARITHMETIC GROWTH USING THE PYTHON LANGUAGE AND NUMPY PRODUCING THE CHARTS OF THE MODELVALIDATION OF A MODEL FILE I/O Computational Models with Quadratic GrowthINTRODUCTION DIFFERENCES OF THE DATA DIFFERENCE EQUATIONS FUNCTIONAL EQUATIONSEXAMPLES OF QUADRATIC MODELS Models with Geometric Growth INTRODUCTION BASIC CONCEPTS FUNCTIONAL EQUATIONS IN GEOMETRIC GROWTH Computational Models with Polynomial Growth INTRODUCTIONGENERAL FORMS OF POLYNOMIAL FUNCTIONS THE polynomial MODULE OF THE numpy PACKAGE EVALUATION OF POLYNOMIAL FUNCTIONS SOLVING POLYNOMIAL FUNCTIONS Empirical Models with Interpolation and Curve Fitting INTRODUCTION INTERPOLATION CURVE FITTING MODELING THE HEAT CAPACITY OF CARBON DIOXIDEUsing Arrays with Numpy INTRODUCTION VECTORS AND OPERATIONS VECTOR PROPERTIES AND CHARACTERISTICS USING ARRAYS IN PYTHON WITH NUMPY SIMPLE VECTOR OPERATIONS Models with Matrices and Linear Equations INTRODUCTIONMATRICES MATRIX MANIPULATION WITH NUMPYSOLVING SYSTEMS OF LINEAR EQUATIONS INDUSTRIAL MIXTURES IN MANUFACTURING Introduction to Models of Dynamical Systems INTRODUCTION AVERAGE AND INSTANTANEOUS RATE OF CHANGE THE FREE-FALLING OBJECTDERIVATIVE OF A FUNCTION NUMERICAL INTEGRATIONWORK PRODUCED IN A PISTON WITH AN IDEAL GAS DIFFERENTIAL EQUATIONS MODELS OF DYNAMICAL SYSTEMS FORMULATING SIMPLE EXAMPLES SOLUTION OF DIFFERENTIAL EQUATIONSLinear Optimization ModelsLinear Optimization Modeling INTRODUCTION GENERAL FORM OF A LINEAR OPTIMIZATION MODEL THE SIMPLEX ALGORITHM DESCRIPTION OF THE SIMPLEX ALGORITHMFORMULATION OF LINEAR OPTIMIZATION MODELS EXAMPLE PROBLEMS Solving Linear Optimization Models INTRODUCTION LINEAR OPTIMIZATION MODELS WITH PYTHON MODELING WITH PYOMO MODELING WITH PULP SOFTWARE LINEAR OPTIMIZATION SOLVERS SHORT LIST OF OPTIMIZATION SOLVERS Sensitivity Analysis and Duality INTRODUCTION SENSITIVITY ANALYSIS DUALITY Transportation Models INTRODUCTION MODEL OF A TRANSPORTATION PROBLEM TRANSPORTATION CASE STUDY 1 UNBALANCED PROBLEM: CASE STUDY 2 UNBALANCED PROBLEM: CASE STUDY 3 TRANSSHIPMENT MODELS TRANSSHIPMENT PROBLEM: CASE STUDY 4ASSIGNMENT PROBLEMS 7ASSIGNMENT PROBLEM: CASE STUDY 5 Network Models INTRODUCTION GRAPHS SHORTEST PATH PROBLEM SHORTEST PATH: CASE STUDY 1MAXIMUM FLOW PROBLEMS CRITICAL PATH METHOD REDUCING THE TIME TO COMPLETE A PROJECT Integer Linear Optimization Models INTRODUCTION MODELING WITH INTEGER VARIABLES APPLICATIONS OF INTEGER LINEAR OPTIMIZATION INTEGER LINEAR OPTIMIZATION: CASE STUDY 1 INTEGER LINEAR OPTIMIZATION: CASE STUDY 2A Summary and Exercises appear at the end of each chapter.