An Introduction to C++ and Numerical Methods

Preface Part I Basic Constructs 1: INTRODUCTION 1.1: Computers and Software 1.2: Binary Numbers and Memory 1.3: Rounding Errors 1.4: Programs 2: A FIRST C++ PROGRAM 2.1: Computation and Assignment 2.2: Variable Types 2.3: Input and Output 2.4: A Complete Program 2.5: Errors and Debugging 3: DECISIONS, DECISIONS 3.1: The if Statement 3.2: Logical Operators 3.3: Nested If and Switch Statements 3.4: Good Programming Practice 4: AROUND AND AROUND: ITERATION 4.1: The for Statement 4.2: The while Statement 4.3: An Approximation to ex 4.4.: Advanced Loop Control 5: FUNCTIONS 5.1: Library Functions 5.2: User-Defined Functions 5.3: More General Functions 5.4: Local vs. Global Variables 6: NUMERICAL INTEGRATION 6.1: Approximate Integration Formulas 6.2: Flow Charts 6.3: An Integration Program 6.4: Discretization Error 7: READING AND WRITING: INPUT/OUTPUT 7.1: Precision 7.2: Spacing 7.3: File Input/Output 7.4: The printf () Function 8: SOLUTION OF NONLINEAR EQUATIONS 8.1: The Bisection Method 8.2: Newton's Method 8.3: Errors and a Combined Method 9: LOTS OF VALUES: ARRAYS 9.1: Array Declarations 9.2: Arrays and Functions 10: DIFFERENTIAL EQUATIONS 10.1: The Initial Value Problem 10.2: Euler's Method 10.3: Systems of Equations Part II Extensions of the Basic Constructs 11: MORE ON DATA TYPES AND OPERATIONS 11.1: Other Fundamental Data Types 11.2: Operations 11.3: Characters and Strings 11.4: User-Defined Data Types 12: LOTS MORE VALUES: TWO-DIMENSIONAL ARRAYS 12.1: Two-Dimensional Arrays 12.2: Arrays and Functions 12.3: Arrays of Strings 13: LINEAR EQUATIONS 13.1: Least-Squares Approximation 13.2: Gaussian Elimination 13.3: Errors 13.4: Efficiency 14: MORE ON FUNCTIONS 14.1: Reference versus Value 14.2: Recursive and Inline Functions 14.3: Function Miscellanea 14.4: Libraries of Functions 15: POINTERS 15.1: Pointer Variables 15.2: Pointers and Arrays 15.3: Pointers and Functions 15.4: Pointers and Strings 16: DYNAMIC MEMORY 16.1: Dynamic Memory Allocation 16.2: Matrices and Strings 16.3: Linked Lists Part III Object-Oriented Programming 17: CLASSES AND OBJECTS 17.1: A Simple Class 17.2: Classes and Functions 17.3: Stream Classes 18: ARRAY CLASSES AND DYNAMIC MEMORY 18.2: Dynamic Memory Allocation 18.3: A Matrix Class 19: INHERITANCE 19.1: Derived Classes 19.2: Polymorphism and Virtual Functions 19.3: Linear Equations Further Reading Appendix 1: ASCII Character Codes Appendix 2: Library Functions Index