An Introduction to C++ and Numerical Methods

Part 1 Basic Constructs ; Chapter 1: Introduction ; 1.1 Computers and Software ; 1.2 Binary Number and Memory ; 1.3 Rounding Errors ; 1.4 Programs ; Chapter 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 ; Chapter 3 Decisions ; 3.1 The if Statement ; 3.2 Logical Operators ; 3.3 Nested If and Switch Statements ; 3.4 Good Programming Practice ; Chapter 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 ; Chapter 5 Functions ; 5.1 Library Functions ; 5.2 User-Defined Functions ; 5.3 More General Functions ; 5.4 Local vs. Global Variables ; Chapter 6 Numerical Integration ; 6.1 Approximate Integration Formulas ; 6.2 Flow Charts ; 6.3 An Integration Program ; 6.4 Discretization Error ; Chapter 7 Reading and Writing: Input/Output ; 7.1 Precision ; 7.2 Spacing ; 7.3 File Input/Output ; 7.4 The print () Function ; Chapter 8 Solution of Nonlinear Equations ; 8.1 The Bisection Method ; 8.2 Newton's Method ; 8.3 Errors and Combined Method ; Chapter 9 Lots of Values: Arrays ; 9.1 Array Declarations ; 9.2 Arrays and Functions ; Chapter 10 Differential Equations ; 10.1 The Initial Value Problem ; m 10.2 Euler's Method ; 10.3 Systems of Equations ; Part II Extensions of the Basic Constructs ; Chapter 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 ; Chapter 12 Lots More Values: Two-Dimensional Arrays ; 12.1 Two-Dimensional Arrays ; 12.2 Arrays and Functions ; 12.3 Arrays of Strings ; Chapter 13 Linear Equations ; 13.1 Least Squares Approximation ; 13.2 Gaussian Elimination ; 13.3 Errors ; 13.4 Efficiency ; Chapter 14 More on Functions ; 14.1 Reference versus Value ; 14.2 Recursive and Inline Functions ; 14.3 Function Miscellanea ; 14.4 Libraries of Functions ; Chapter 15 Pointers ; 15.1 Pointer Variables ; 15.2 Pointers and Arrays ; 15.3 Pointers and Functions ; 15.4 Pointers and Strings ; Chapter 16 Dynamic Memory ; 16.1 Dynamic Memory Allocation ; 16.2 Matrices and Strings ; 16.3 Linked Lists ; Part III Object-Oriented Programming ; Chapter 17 Classes and Objects ; 17.1 A Simple Class ; 17.2 Classes and Functions ; Chapter 18 Array Classes and Dynamic Memory ; 18.1 A Vector Class ; 18.2 Dynamic Memory Allocation ; 18.3 A Matrix Class ; Chapter 19 Inheritance ; 19.1 Derived Classes ; 19.2 Polymorphism and Virual Functions ; 19.3 Linear Equations ; Further Reading ; Appendix 1 ASCII Character Codes ; Appendix 2 Library Functions ; Index