Introduction to Numerical and Analytical Methods with MATLAB® for Engineers and Scientists

1. Auflage 2013
ISBN: 978-1-4665-7602-5
Verlag: CRC Press

Buch, Englisch, 556 Seiten, Format (B × H): 156 mm x 235 mm, Gewicht: 885 g

Introduction to Numerical and Analytical Methods with MATLAB® 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.

Zielgruppe

Engineering majors taking a MATLAB and numerical methods course in their second or third year, professionals wanting a MATLAB-based numerical methods review, engineering Technology (four-yr program) students studying numerical methods with MATLAB.

Autoren/Hrsg.

Bober, William

Fachgebiete

• Technische Wissenschaften Technik Allgemein Modellierung & Simulation
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen

Inhaltsverzeichnis

Computer Programming with MATLAB® for Engineers. MATLAB® Fundamentals. Taylor Series, Self-Written Functions and MATLAB®’s interp1 Function. Matrices. Roots of Algebraic and Transcendental Equations. Numerical Integration. Numerical Integration of Ordinary Differential Equations. Boundary Value Problems of Ordinary Differential Equations. Curve Fitting. Simulink®. Optimization. Iteration Method. Partial Differential Equations. Laplace Transforms. Appendices. Index.

Über Autor(innen)

William Bober, PhD, received his BS in civil engineering from the City College of New York (CCNY), his MS in engineering science from Pratt Institute, and his PhD in engineering science and aerospace engineering from Purdue University.

He worked as an associate engineering physicist in the Applied Mechanics Department at Cornell Aeronautical Laboratory in Buffalo, New York, was employed as an associate professor in the Department of Mechanical Engineering at the Rochester Institute of Technology, and is an associate professor at Florida Atlantic University (FAU), working in the Department of Mechanical Engineering and the Department of Civil Engineering at FAU.