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Numerical Computing with MATLAB Revised Reprint 2nd Edition by Cleve B Moler ISBN 0898716608 9780898716603

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Numerical Computing with MATLAB Revised Reprint 2nd Edition Cleve B. Moler Digital Instant Download

Author(s): Cleve B. Moler
ISBN(s): 9780898716603, 0898716608
Edition: 2
File Details: PDF, 4.70 MB
Year: 2008
Language: english
SKU: EB-4652470 Category: Tag:

Numerical Computing with MATLAB Revised Reprint 2nd Edition by Cleve B Moler – Ebook PDF Instant Download/Delivery: 0898716608, 9780898716603
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Product details:

ISBN 10: 0898716608 
ISBN 13: 9780898716603
Author: Cleve B Moler

This is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing, which emphasises the informed use of mathematical software. Numerical Computing with MATLAB helps readers learn about the mathematical functions in MATLAB, how to appreciate their limitations, and how to use and modify them appropriately. The book makes extensive use of computer graphics, and provides more than 70 M-files, which can be downloaded from the text Web site www.mathworks.com/moler. Many of the numerous exercises involve modifying and extending these programs. The theory can be adapted to apply to modern problems from cryptography, touch-tone dialing, Google page-ranking, atmospheric science and image processing, as well as classical problems from physics and engineering. This book will appeal to advanced undergraduate and beginning graduate students in science and engineering. This revision includes changes and corrections made since the book was originally published in 2004.

Numerical Computing with MATLAB Revised Reprint 2nd Table of contents:

Chapter 1: Introduction to MATLAB

  • Overview of MATLAB

  • MATLAB’s Interactive Environment

  • Data Types and Variables in MATLAB

  • Basic Operations and Functions

  • Working with Arrays and Matrices

  • Writing Scripts and Functions in MATLAB

  • Debugging and Error Handling

Chapter 2: MATLAB for Numerical Computation

  • Using MATLAB for Solving Numerical Problems

  • Floating-Point Arithmetic and Precision

  • Error Analysis in Numerical Computing

  • MATLAB’s Built-in Mathematical Functions

  • Performance Optimization in MATLAB

Chapter 3: Solving Linear Systems of Equations

  • Direct Methods for Solving Linear Systems

  • Gaussian Elimination and Pivoting

  • LU Decomposition and Factorization

  • Solving Sparse Systems of Equations

  • Iterative Methods for Large Systems

  • MATLAB Functions for Solving Linear Systems

Chapter 4: Interpolation and Curve Fitting

  • Polynomial Interpolation

  • Piecewise Interpolation and Splines

  • Least Squares Fitting of Data

  • Polynomial and Non-Polynomial Curve Fitting

  • Practical Applications of Interpolation and Fitting in MATLAB

Chapter 5: Numerical Differentiation and Integration

  • Numerical Differentiation Techniques

  • Forward, Backward, and Central Differences

  • Numerical Integration: The Trapezoidal Rule and Simpson’s Rule

  • Adaptive Quadrature Methods

  • Numerical Integration for Systems of Equations

  • MATLAB Functions for Numerical Differentiation and Integration

Chapter 6: Solving Nonlinear Equations

  • Bisection Method and Regula Falsi

  • Newton’s Method and Its Variants

  • Fixed-Point Iteration

  • Convergence Analysis of Nonlinear Solvers

  • MATLAB Functions for Solving Nonlinear Equations

Chapter 7: Eigenvalues and Eigenvectors

  • Introduction to Eigenvalue Problems

  • Power Method and Inverse Iteration

  • The QR Algorithm for Eigenvalues

  • Applications of Eigenvalues in Engineering and Science

  • MATLAB Functions for Eigenvalue Computation

Chapter 8: Numerical Optimization

  • Unconstrained Optimization: Gradient Descent Methods

  • Constrained Optimization: Lagrange Multipliers

  • Newton’s Method for Optimization

  • Line Search and Trust Region Methods

  • MATLAB Optimization Toolbox

Chapter 9: Ordinary Differential Equations (ODEs)

  • Initial Value Problems (IVPs) for ODEs

  • Euler’s Method and Higher-Order Methods

  • Runge-Kutta Methods

  • Adaptive Methods for ODEs

  • Solving ODEs in MATLAB: ode45 and ode23

  • MATLAB Functions for Solving ODEs

Chapter 10: Partial Differential Equations (PDEs)

  • Classification of PDEs and Boundary Conditions

  • Finite Difference Methods for PDEs

  • Solving Heat and Wave Equations

  • Stability and Convergence of Numerical Schemes

  • MATLAB and PDE Toolbox for Solving PDEs

Chapter 11: Fourier Transforms and Spectral Methods

  • Fourier Series and Fourier Transforms

  • Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT)

  • Applications of FFT in Signal Processing

  • Spectral Methods for Solving PDEs

  • MATLAB Functions for Fourier Transforms

Chapter 12: Monte Carlo Methods and Random Numbers

  • Introduction to Monte Carlo Simulations

  • Generating Random Numbers in MATLAB

  • Monte Carlo Methods for Numerical Integration

  • Solving Stochastic Problems Using Monte Carlo

  • Applications of Monte Carlo in Engineering and Science

Chapter 13: Symbolic Mathematics in MATLAB

  • Using MATLAB’s Symbolic Toolbox

  • Symbolic Algebra and Calculus

  • Simplifying Expressions and Solving Symbolic Equations

  • Symbolic Integration and Differentiation

  • MATLAB’s Functionality for Symbolic Math

Chapter 14: MATLAB Programming Techniques

  • Writing Efficient MATLAB Code

  • Functions, M-files, and Scripts

  • Handling Large Datasets and Memory Management

  • Vectorization and Matrix Operations

  • Profiling and Optimizing MATLAB Code

Chapter 15: Advanced Topics in Numerical Computing

  • High-Performance Computing in MATLAB

  • Parallel Computing with MATLAB

  • Advanced Numerical Linear Algebra

  • Solving Large-Scale Systems with MATLAB

  • Applications in Computational Science and Engineering

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Tags: Cleve B Moler, Numerical Computing, MATLAB