Most ebook files are in PDF format, so you can easily read them using various software such as Foxit Reader or directly on the Google Chrome browser.
Some ebook files are released by publishers in other formats such as .awz, .mobi, .epub, .fb2, etc. You may need to install specific software to read these formats on mobile/PC, such as Calibre.
Please read the tutorial at this link: https://ebookbell.com/faq
We offer FREE conversion to the popular formats you request; however, this may take some time. Therefore, right after payment, please email us, and we will try to provide the service as quickly as possible.
For some exceptional file formats or broken links (if any), please refrain from opening any disputes. Instead, email us first, and we will try to assist within a maximum of 6 hours.
EbookBell Team
5.0
90 reviews
ISBN 10: 1852339195
ISBN 13: 978-1852339197
Author: Stephen Otto, James Denier
MATLAB is a powerful programme, which naturally lends itself to the rapid implementation of most numerical algorithms. This text, which uses MATLAB, gives a detailed overview of structured programming and numerical methods for the undergraduate student.
The book covers numerical methods for solving a wide range of problems, from integration to the numerical solution of differential equations or the simulation of random processes. Each chapter includes extensive examples and tasks, at varying levels of complexity. For practice, the early chapters include programmes that require debugging by the reader, while full solutions are given for all the tasks. The book also includes:
Designed as a text for a first course in programming and algorithm design, as well as in numerical methods courses, the book will be of benefit to a wide range of students from mathematics and engineering, to commerce.
1 Simple Calculations with MATLAB
1.1 Introduction and a Word of Warning
1.2 Scalar Quantities and Variables
1.2.1 Rules for Naming of Variables
1.2.2 Precedence: The Order in Which Calculations Are Performed
1.2.3 Mathematical Functions
1.3 Format: The Way in Which Numbers Appear
1.4 Vectors in MATLAB
1.4.1 Initialising Vector Objects
1.4.2 Manipulating Vectors and Dot Arithmetic
1.5 Setting Up Mathematical Functions
1.6 Some MATLAB Specific Commands
1.6.1 Looking at Variables and Their Sizes
1.7 Accessing Elements of Arrays
1.8 Tasks
2 Writing Scripts and Functions
2.1 Creating Scripts and Functions
2.1.1 Functions
2.1.2 Brief Aside
2.2 Plotting Simple Functions
2.2.1 Evaluating Polynomials and Plotting Curves
2.2.2 More on Plotting
2.3 Functions of Functions
2.4 Errors
2.4.1 Numerical Errors
2.4.2 User Error
2.5 Tasks
3 Loops and Conditional Statements
3.1 Introduction
3.2 Loops Structures
3.3 Summing Series
3.3.1 Sums of Series of the Form
3.3.2 Summing Infinite Series
3.3.3 Summing Series Using MATLAB Specific Commands
3.3.4 Loops Within Loops (Nested)
3.4 Conditional Statements
3.4.1 Constructing Logical Statements
3.4.2 The MATLAB Command switch
3.5 Conditional loops
3.5.1 The break Command
3.6 MATLAB Specic Commands
3.7 Error Checking
3.8 Tasks
4 Root Finding
4.1 Introduction
4.2 Initial Estimates
4.3 Fixed Point Iteration
4.4 Bisection
4.5 Newton–Raphson and Secant Methods
4.5.1 Derivation of the Newton–Raphson Method
4.6 Repeated Roots of Functions
4.7 Zeros of Higher-Dimensional Functions(*)
4.8 MATLAB Routines for Finding Zeros
4.8.1 Roots of a Polynomial
4.8.2 The Command fzero
4.9 Tasks
5 Interpolation and Extrapolation
5.1 Introduction
5.2 Saving and Reading Data
5.3 Which Points to Use?
5.4 Newton Forward Dierences and Lagrange Polynomials
5.4.1 Linear Interpolation/Extrapolation
5.5 Calculating Interpolated and Extrapolated Values
5.6 Splines
5.7 Curves of Best Fit
5.8 Interpolation of Non-Smooth Data
5.8.1 Insufficient Data Points
5.9 Minimisation of Functions and Parameter Retrieval
5.9.1 Parameter Retrieval
5.9.2 Using fmins for Parameter Retrieval
5.10 Tasks
6. Matrices
6.1 Introduction.
6.1.1 Initialising Matrices Within MATLAB
6.1.2 Matrix Operations
6.1.3 Operations on Elements of Matrices
6.1.4 More on Special Matrices
6.1.5 Matrices Containing Strings
6.2 Properties of Matrices and Systems of Equations
6.2.1 Determinants of Matrices
6.3 Elementary Row Operations
6.3.1 Solving Many Equations at Once
6.4 Matrix Decomposition
6.5 Eigenvalues and Eigenvectors
6.6 Specific MATLAB Commands
6.7 Characteristic Polynomials
6.8 Exponentials of Matrices
6.9 Tasks
7. Numerical Integration
7.1 Introduction
7.2 Integration Using Straight Lines
7.2.1 Errors in the Trapezium Method
7.3 Integration Using Quadratics
7.4 Integration Using Cubic Polynomials
7.5 Integrating Using MATLAB Commands
7.6 Specific Examples of Integrals
7.6.1 Infinite Integrals and Removable Singularities
7.6.2 Indefinite Integrals
7.7 Tasks.
8. Sovling Differential Equations
8.1 Introduction
8.2 Euler’s Method and Crank–Nicolson
8.2.1 Analytical Comparisons
8.3 Banded Matrices
8.4 Runge–Kutta Methods
8.5 Higher-Order Systems
8.5.1 Second-Order Systems
8.5.2 Bessel’s equation
8.5.3 Airy’s Equation
8.5.4 Shooting Methods
8.6 Boundary-Value Problems
8.7 Population Dynamics
8.8 Eigenvalues of Differential Systems
8.9 Tasks
9. Simulations and Random Numbers
9.1 Introduction
9.2 Statistical quantities
9.2.1 Averages
9.2.2 Other Statistical Measures
9.3 Random Numbers and Distributions
9.3.1 Normal Distribution
9.3.2 Calculating Probabilities
9.3.3 Permutations
9.4 Maps and White Noise
9.4.1 Modelling Discrete Systems
9.4.2 Periodicity and Chaos
9.4.3 Random Motion
9.5 Tasks
A. A Mathematical Introduction to Matrices
A.1 Special Matrices
A.2 Inverses of Matrices
B. Glossary of Useful Terms
B.1 Arithmetic and Logical Operators
B.2 Symbols
B.3 Plotting Commands
B.4 General MATLAB Commands
C. Solutions to Tasks
C.1 Solutions for Tasks from Chapter 1
C.2 Solutions for Tasks from Chapter 2
C.3 Solutions for Tasks from Chapter 3
C.4 Solutions for Tasks from Chapter 4
C.5 Solutions for Tasks from Chapter 5
C.6 Solutions for Tasks from Chapter 6
C.7 Solutions for Tasks from Chapter 7
C.8 Solutions for Tasks from Chapter 8
C.9 Solutions for Tasks from Chapter 9
Index
how to design programs an introduction to programming and computing
code yourself an introduction to programming
python an introduction to programming pdf
an introduction to programming through c++
an introduction to programming through c++ pdf
Tags: Stephen Otto, James Denier, An Introduction, Numerical Methods
