C Programming and Numerical Analysis: An Introduction

Description

This book is aimed at those in engineering/scientific fields who have never learned programming before but are eager to master the C language quickly so as to immediately apply it to problem solving in numerical analysis. The book skips unnecessary formality but explains all the important aspects of C essential for numerical analysis. Topics covered in numerical analysis include single and simultaneous equations, differential equations, numerical integration, and simulations by random numbers. In the Appendices, quick tutorials for gnuplot, Octave/MATLAB, and FORTRAN for C users are provided. Cover Half title Synthesis Lectures on Mechanical Engineering Copyright Title Abstract Contents Preface Acknowledgments Part I Introduction to C Programming 1 First Steps to Run a C Program 1.1 A Cycle of C Programming 1.2 UNIX Command Primer 1.3 Overview of C Programming 1.3.1 Principles of C language 1.3.2 Skeleton C program 1.4 Exercises 2 Components of C Language 2.1 Variables and Data Types 2.1.1 Cast Operators 2.1.2 Examples of Data Type 2.2 Input/Output 2.3 Operators between Variables 2.3.1 Relational Operators 2.3.2 Logical Operators 2.3.3 Increment/Decrement/Substitution Operators 2.3.4 Exercises 2.4 Control Statements 2.4.1 if Statement 2.4.2 for Statement 2.4.3 while Statement 2.4.4 do while Statement 2.4.5 switch Statement 2.4.6 Miscellaneous Remarks 2.4.7 Exercises 2.5 Functions 2.5.1 Definition of Functions in C 2.5.2 Locality of Variables within a Function 2.5.3 Recursivity of Functions 2.5.4 Random Numbers, rand() 2.5.5 Exercises 2.6 Arrays 2.6.1 Definition of Arrays 2.6.2 Multi-dimensional Arrays 2.6.3 Examples 2.6.4 Exercises 2.7 File Handling 2.7.1 I/O Redirection (Standard Input/Output Redirection) 2.7.2 File Handling (From within a Program) 2.8 Pointers 2.8.1 Address Operator & and Dereferencing Operator * 2.8.2 Properties of Pointers 2.8.3 Function Arguments and Pointers 2.8.4 Pointers and Arrays 2.8.5 Function Pointers 2.8.6 Summary 2.8.7 Exercises 2.9 String Manipulation 2.9.1 How to Handle a String of Characters (Text) 2.9.2 String Copy/Compare/Length 2.10 Command Line Arguments 2.10.1 Entering Command Line Arguments 2.10.2 Exercises 2.11 Structures 2.11.1 Mixture of Different Types of Variables 2.11.2 Exercises Part II Numerical Analysis 3 Note on Numerical Errors 4 Roots of f(x) = 0 4.1 Bisection Method 4.2 Newton’s Method 4.2.1 Newton’s Method for a Single Equation 4.2.2 Newton’s Method for Simultaneous Equations (Optional) 4.2.3 Exercises 5 Numerical Differentiation 5.1 Introduction 5.2 Forward/Backward/Central Difference 5.3 Exercises 6 Numerical Integration 6.1 Introduction 6.2 Rectangular Rule 6.3 Trapezoidal Rule 6.4 Simpson’s Rule 6.5 Exercises 7 Solving Simultaneous Equations 7.1 Introduction 7.2 Gauss-Jordan Elimination Method 7.3 LU Decomposition (Optional) 7.4 Gauss-Seidel Method (Jacobi Method) 7.5 Exercises 8 Differential Equations 8.1 Initial Value Problems 8.1.1 Euler’s Method 8.1.2 Runge-Kutta Method 8.2 Higher-order Ordinary Differential Equations 8.3 Exercises A Gnuplot B Octave (MATLAB) Tutorial for C Programmers B.1 Introduction B.2 Basic Operations B.2.1 Principles of Octave/MATLAB B.2.2 Reserved Constants B.2.3 Vectors/Matrices B.2.4 Graph B.2.5 I/O B.2.6 M-files B.2.7 Conditional Statement B.3 Sketch of Comparison Between C and Octave/MATLAB B.4 Exercises C FORTRAN Tutorial for C Programmers C.1 FORTRAN Features C.2 How to Run a FORTRAN Program C.3 Sketch of Comparison Between C and FORTRAN C.4 Exercises Author’s Biography Index