Opis: Introduction to Numerical and Analytical Methods with MATLAB for Engineers and Scientists - William Bober

Introduction to Numerical and Analytical Methods with MATLAB(R) for Engineers and Scientists provides the basic concepts of programming in MATLAB for engineering applications. * Teaches engineering students how to write computer programs on the MATLAB platform * Examines the selection and use of numerical and analytical methods through examples and case studies * Demonstrates mathematical concepts that can be used to help solve engineering problems, including matrices, roots of equations, integration, ordinary differential equations, curve fitting, algebraic linear equations, and more The text covers useful numerical methods, including interpolation, Simpson's rule on integration, the Gauss elimination method for solving systems of linear algebraic equations, the Runge-Kutta method for solving ordinary differential equations, and the search method in combination with the bisection method for obtaining the roots of transcendental and polynomial equations. It also highlights MATLAB's built-in functions. These include interp1 function, the quad and dblquad functions, the inv function, the ode45 function, the fzero function, and many others. The second half of the text covers more advanced topics, including the iteration method for solving pipe flow problems, the Hardy-Cross method for solving flow rates in a pipe network, separation of variables for solving partial differential equations, and the use of Laplace transforms to solve both ordinary and partial differential equations. This book serves as a textbook for a first course in numerical methods using MATLAB to solve problems in mechanical, civil, aeronautical, and electrical engineering. It can also be used as a textbook or as a reference book in higher level courses.Computer Programming with MATLAB(R) for Engineers Introduction Computer Usage in Engineering Mathematical Model Computer Programming Why MATLAB(R)? MATLAB(R) Programming Language Building Blocks in Writing a Program Conventions in This Book MATLAB(R) Fundamentals Introduction MATLAB(R) Desktop Constructing a Program in MATLAB(R) MATLAB(R) Fundamentals MATLAB(R) Input/Output Loops MATLAB(R) Graphics Conditional Operators and Alternate Paths Working with Built-In Functions with Vector Arguments More on MATLAB(R) Graphics Debugging a Program Projects References Taylor Series, Self-Written Functions and MATLAB(R)'s interp1 Function Introduction Functions Expressed as a Series Self-Written Functions Anonymous Functions MATLAB(R)'s interp1 Function Working with Characters and Strings Projects References Matrices Introduction Matrix Operations System of Linear Equations Statics Truss Problem Resistive Circuit Problem Gauss Elimination Gauss-Jordan Method Number of Solutions Inverse Matrix Eigenvalue Problem in Mechanical Vibrations Eigenvalue Problem in Electrical Circuits Projects Reference Roots of Algebraic and Transcendental Equations Introduction The Search Method Bisection Method Newton-Raphson Method MATLAB(R)'s Root-finding Functions Projects Reference Numerical Integration Introduction Numerical Integration with the Trapezoidal Rule Numerical Integration and Simpson's Rule MATLAB(R)'s quad Function MATLAB(R)'s dblquad Function Projects Numerical Integration of Ordinary Differential Equations Introduction Initial Value Problem Euler Algorithm Modified Euler Method with Predictor-Corrector Algorithm Fourth-Order Runge-Kutta Method System of Two First-Order Differential Equations Single Second-Order Equation MATLAB(R)'s ODE Function Projects Boundary Value Problems of Ordinary Differential Equations Introduction Difference Formulas Solution of a Tri-Diagonal System of Linear Equations Projects Curve Fitting Introduction Method of Least Squares Curve Fitting with the Exponential Function MATLAB(R)'s Curve Fitting Functions Cubic Splines MATLAB(R)'s Cubic Spline Curve Fitting Function Curve Fitting with Fourier Series Projects Simulink(R) Introduction Creating a Model in Simulink(R) Typical Building Blocks in Constructing a Model Tips for Constructing and Running Models Constructing a Subsystem Using the Mux and Fcn Blocks Using the Transfer Fcn Block Using the Relay and Switch Blocks Trigonometric Function Blocks To Workspace Block Projects Reference Optimization Introduction Unconstrained Optimization Problems Method of Steepest Descent MATLAB(R)'s fminbnd and fminsearch Functions Optimization with Constraints Lagrange Multipliers MATLAB(R)'s fmincon Function Projects Reference Iteration Method Introduction Iteration in Pipe Flow Analysis Hardy-Cross Method Projects References Partial Differential Equations Classification of Partial Differential Equations Solution by Separation of Variables Review of Finite-Difference Formulas Finite-Difference Methods Applied to Partial Differential Equations The Gauss-Seidel Method Projects Laplace Transforms Introduction Laplace Transform and Inverse Transform Transforms of Derivatives Ordinary Differential Equations, Initial Value Problem MATLAB(R)'s residue Function Unit Step Function Convolution Laplace Transforms Applied to Circuits Delta Function Laplace Transforms Applied to Partial Differential Equations Projects References Review Answers Appendices Index

Szczegóły: Introduction to Numerical and Analytical Methods with MATLAB for Engineers and Scientists - William Bober

Tytuł: Introduction to Numerical and Analytical Methods with MATLAB for Engineers and Scientists
Autor: William Bober
Producent: CRC Press Inc.
ISBN: 9781466576025
Rok produkcji: 2013
Ilość stron: 556
Oprawa: Twarda
Waga: 0.9 kg

Recenzje: Introduction to Numerical and Analytical Methods with MATLAB for Engineers and Scientists - William Bober