Numerical Analysis Using MATLAB and Excel, 3rd Edition

Steven T. Karris, "Numerical Analysis Using MATLAB and Excel, 3rd Edition" 
Or,..rd P-tions | 2007 | ISBN: 1934404039 | 627 pages | PDF | 4,4 MB

This text includes the following chapters and appendices: 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 and distributions, Orthogonal functions and matrix factorizations, Bessel, Legendre, and Chebyshev polynomials, Optimization methods, Difference Equations in Discrete-Time systems, Introduction to Simulink, Ill-Conditioned Matrices. Each chapter contains numerous practical applications supplemented with detailed instructions for using MATLAB and/or Excel to obtain quick solutions.

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A first course in the numerical analysis of differential equations, Second Edition

A. Iserles, "A first course in the numerical analysis of differential equations, Second Edition" 
Publisher: Cambridge University Press | ISBN: 0521734908 | edition 2008 | PDF | 459 pages | 6.2 mb

Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This new edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.

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Numerical Methods for Engineers 5th edition by Steven C. Chapra

The fifth edition of "Numerical Methods for Engineers with Software and Programming Applications" continues its tradition of excellence. The revision retains the successful pedagogy of the prior editions. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation", "Mathematical Background", and "Orientation"preparing the student for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called "Trade-Offs", "Important Relationships and Formulas", and "Advanced Methods and Additional References". Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Users will find use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros. Also, many, many more challenging problems are included. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering. 

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