Random & Computational Dynamics

Full Text (This E-book is free of charge)

Numerical Methods and Applications

By Jorge Rebaza

ISBN-10: 1-60133-022-7

ISBN-13: 978-1-60133-022-2

An introductory yet rigorous study of numerical methods with real-world applications in mind. A detailed exposition of accurate, efficient and robust algorithms, with abundant examples that illustrate the advantages and disadvantages of the algorithm, and its overall performance when compared with similar algorithms. 

This textbook is self-contained also serves as a reinforcement of the tremendous importance of understanding the theory and methods studied in introductory mathematics courses. The reader will get a unique opportunity to revisit the theory studied in previous courses and reaffirm its importance as a solid theoretical background and as powerful tool for concrete applications. 

In addition to the classical topics covered in a comparable book on numerical methods (solving linear and nonlinear systems, interpolation, integration, eigenvalues, and differential equations), this textbook includes the study of not a knot splines, Bezier curves, Quasi-Monte Carlo methods, 2-D interpolation, nonlinear eigenvalues, image compression, Google’s PageRank, and more.

Theory and examples are illustrated using Matlab.

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