Numerical Analysis

Numerical Analysis

Using MATLAB® and Spreadsheets

Second Edition

Steven T. Karris

Orchard Publications www.orchardpublications.com

Numerical Analysis

Using MATLAB® and Spreadsheets Second Edition

Students and working professionals will find Numerical Analysis Using MATLAB® and Spreadsheets, Second Edition, to be a concise and easy-to-learn text. It provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and engineering. These are illustrated with many real-world examples.

This text includes the following chapters: • Introduction to MATLAB • Root Approximations • Sinusoids and Complex Numbers • Matrices and Determinants • Review of Differential Equations • Fourier, Taylor, and Maclaurin Series • Finite Differences and Interpolation • Linear and Parabolic Regression • Solution of Differential Equations by Numerical Methods • Integration by Numerical Methods • Difference Equations • Partial Fraction Expansion • The Gamma and Beta Functions • Orthogonal Functions and Matrix Factorizations • Bessel, Legendre, and Chebyshev Polynomials • Optimization Methods Each chapter contains numerous practical applications supplemented with detailed instructions for using MATLAB and/or Microsoft Excel® to obtain quick solutions.

Steven T. Karris is the president and founder of Orchard Publications. He earned a bachelors degree in electrical engineering at Christian Brothers University, Memphis, Tennessee, a masters degree in electrical engineering at Florida Institute of Technology, Melbourne, Florida, and has done post-master work at the latter. He is a registered professional engineer in California and Florida. He has over 30 years of professional engineering experience in industry. In addition, he has over 25 years of teaching experience that he acquired at several educational institutions as an adjunct professor. He is currently with UC Berkeley Extension.

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