An introduction to programming and numerical methods in MATLAB / (Record no. 2261)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04693cam a22001817a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9788181285478 (pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781852339197 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 005.1 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Otto, S. R. |
| 245 13 - TITLE STATEMENT | |
| Title | An introduction to programming and numerical methods in MATLAB / |
| Statement of responsibility, etc. | S.R. Otto and J.P. Denier. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | London : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | c2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | x, 463 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 500 ## - GENERAL NOTE | |
| General note | Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Simple Calculations with MATLAB .<br/>1.1 Introduction and a Word of Warning.<br/>1.2 Scalar Quantities and Variables<br/>1.2.1 Rules for Naming of Variables.<br/>1.2.2 Precedence; The Order in Which Calculations Are Per<br/>formed<br/>1.2.3 Mathematical Functions.<br/>1.3 Format: The Way in Which Numbers Appear<br/>1.4 Vectors in MATLAB<br/>1.4.1 Initialising Vector Objects .<br/>1.4.2 Manipulating Vectors and Dot Arithmetic<br/>1.5 Setting Up Mathematical Functions.<br/>1.6 Some MATLAB Specific Commands<br/>1.6.1 Looking at Variables and Their Sizes,<br/>1.7 Accessing Elements of Arrays<br/>1.8 Tasks .<br/>2. Writing Scripts and Functions .<br/>2.1 Creating Scripts and Functions<br/>2.1.1 Functions .<br/>2.1.2 Brief Aside<br/>2.2 Plotting Simple Functions<br/>2.2.1 Evaluating Polynomials and Plotting Curves .<br/>2.2.2 More on Plotting<br/>2.3 Functions of Functions<br/>2.4 Errors .<br/>2.4.1 Numerical Errors<br/>2.4.2 User Error..<br/>2.5 Tasks .<br/>3. Loops and Conditional Statements.<br/>3.1 Introduction<br/>3.2 Loops Structures<br/>3.3 Summing Series .<br/>. N<br/>3.3.1 Sums of Series of the Form 3"'^ P<br/>3.3.2 Summing Infinite Series ..<br/>i=i<br/>3.3.3 Summing Series Using MATLAB Specific Commands<br/>3.3.4 Loops Within Loops (Nested)<br/>3.4 Conditional Statements<br/>3.4.1 Constructing Logical Statements .<br/>3.4.2 The MATLAB Command switch<br/>3.5 Conditional loops.<br/>3.5.1 The break Command<br/>3.6 MATLAB Specific Commands<br/>3.7 Error Checking<br/>3.8 Tasks .<br/>4. Root Finding<br/>4.1 Introduction<br/>4.2 Initial Estimates<br/>4.3 Fixed Point Iteration<br/>4.4 Bisection .<br/>4.5 Newton-Raphson and Secant Methods .<br/>4.5.1 Derivation of the Newton-Raphson Method.<br/>4.6 Repeated Roots of Functions.<br/>4.7 Zeros of Higher-Dimensional Functions(*)<br/>4.8 MATLAB Routines for Finding Zeros<br/>4.8.1 Roots of a Polynomial<br/>4.8.2 The Command f zero<br/>4.9 Tasks<br/>5. Interpolation and Extrapolation<br/>5.1 Introduction<br/>5.2 Saving and Reading Data,<br/>5.3 Which Points to Use?<br/>5.4 Newton Forward Differences and Lagrange Polynomials<br/>5.4.1 Linear Interpolation/Extrapolation<br/>5.5 Calculating Interpolated and Extrapolated Values<br/>5.6 Splines<br/>5.7 Curves of Best Fit.<br/>5.8 Interpolation of Non-Smooth Data<br/>5.8.1 Insufficient Data Points .<br/>5.9 Minimisation of Functions and Parameter Retrieval.<br/>5.9.1 Parameter Retrieval<br/>5.9.2 Using fmins for Parameter Retrieval.<br/>5.10 Tasks .<br/>6. Matrices.<br/>6.1 Introduction<br/>6.1.1 Initialising Matrices Within MATLAB<br/>6.1.2 Matrix Operations.<br/>6.1.3 Operations on Elements of Matrices<br/>6.1.4 More on Special Matrices.<br/>6.1.5 Matrices Containing Strings<br/>6.2 Properties of Matrices and Systems of Equations<br/>6.2.1 Determinants of Matrices<br/>6.3 Elementary Row Operations<br/>6.3.1 Solving Many Equations at Once<br/>6.4 Matrix Decomposition<br/>6.5 Eigenvalues and Eigenvectors<br/>6.6 Specific MATLAB Conunands<br/>6.7 Characteristic Polynomials<br/>6.8 Exponentials of Matrices<br/>6.9 Tasks<br/>7. Numerical Integration<br/>7.1 Introduction<br/>7.2 Integration Using Straight Lines<br/>7.2.1 Errors in the Trapezium Method<br/>7.3 Integration Using Quadratics<br/>7.4 Integration Using Cubic Polynomials<br/>7.5 Integrating Using MATLAB Commands<br/>7.6 Specific Examples of Integrals<br/>7.6.1 Infinite Integrals and Removable Singularities<br/>7.6.2 Indefinite Integrals<br/>7.7 Tasks<br/>8. Solving Differential Equations<br/>8.1 Introduction<br/>8.2 Euier's Method and Crank-Nlcolson<br/>8.2.1 Analytical Comparisons<br/>8.3 Banded Matrices<br/>8.4 Runge-Kutta Methods<br/>8.5 Hi^er-Order Sjrstems.<br/>8.5.1 Second-Order Systems<br/>8.5.2 Bessel's equation<br/>8.5.3 Airy's Equation .<br/>8.5.4 Shooting Methods .<br/>8.6 Boundary-Value Problems<br/>8.7 Population Dynamics .<br/>8.8 Eigenvalues of Differential Systems .<br/>8.9 Tasks<br/>9. Simulations and Random Numbers<br/>9.1 Introduction<br/>9.2 Statistical quantities<br/>9.2.1; Averages<br/>9.2.2 Other Statistical Meiasures..<br/>9.3 Random Numbers and Distributions<br/>9.3.1 Normal Distribution<br/>9.3.2 Calculating Probabilities<br/>9.3.3 Permutations<br/>9.4 Maps and White Noise<br/>9.4.1 Modelling Discrete Systems<br/>9.4.2 Periodicity and Chaos.<br/>9.4.3 Random Motion<br/>9.5 Tasks<br/>A. A Mathematical Introduction to Matrices<br/>A.l Special Matrices.<br/>A.2 Inverses of Matrices.<br/>B. Glossary of Useful Telrms<br/>B.l Arithmetic and Logical Operators<br/>- B.2 Symbols.<br/>B.3 Plottii^ Commands<br/>B.4 General MATLAB Commands |
| 650 #0 - SUBJECT | |
| Keyword | Numerical Analysis |
| General subdivision | Data processing. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 04/06/2016 | 005.1 OTT/I | P31581 | 04/06/2016 | General Books |