This textbook provides readers a comprehensive introduction to numerical methods, using MATLAB®. The authors discuss the theory and application of the most often used numerical methods, using MATLAB as a computational tool. The book is designed to be accessible to readers of varying backgrounds, so the presentation focuses more on the description, implementation, and application of the methods and less on the mathematical details. This book not only covers the most important methods and techniques of scientific computation, but also contains a great amount of code and implementations, facilitating the process of learning and application.

Provides readers a comprehensive, textbook introduction to numerical methods, using MATLAB® Designed to be rigorous, but accessible to readers with varying backgrounds, emphasizing application Emphasizes code implementation, allowing readers to recognize different models that reinforce mathematical concepts

Autorentext

Dr. Erik Cuevas received his B.S. degree with distinction in Electronics and Communications Engineering from the University of Guadalajara, Mexico, in 1995, the M.Sc. degree in Industrial Electronics from ITESO, Mexico, in 2000, and the Ph.D. degree from Freie Universität Berlin, Germany in 2006. Since 2006 he has been with the University of Guadalajara, where he is currently a full-time Professor in the Department of Computer Science. Since 2008, he is a member of the Mexican National Research System (SNI III). He is the author of several books and articles. A list of his books and publications can be seen in the CV attached to this application. His current research interest includes Meta-heuristics, computer vision, and mathematical methods. He serves as an editor in Expert System with Applications, ISA Transactions, and Applied Soft Computing, Applied Mathematical Modeling and Mathematics and Computers in Simulation. Julio C. Rosas-Caro received a B.S. in electronics and an M.S. in E.E. from the Tec de Cd. Madero, Mexico, in 2004 and 2005, respectively, and the Ph.D. in E.E. from the Cinvestav del IPN, Mexico, in 2009. He has been a Visiting Scholar at several institutions, such as the Michigan State University, the University of Colorado Denver, Ontario Tech University, and The University of Sheffield. Dr. Rosas-Caro is the author of several scientific articles in the field of engineering, an Associate Editor of the IEEE Latin America Transactions, an Academic Editor of the International Transactions on Electrical Energy Systems, and he has been invited to be a lead guest editor in several special issues of scientific Journals. He is currently a Professor at Universidad Panamericana, Mexico. His research interest is in power electronics, including DC-to-DC converters, flexible alternating current transmission system devices, power converter topologies, applications, and optimization. Avelina Alejo-Reyes received a B.S. degreein industrial engineering and an M. degree from the Tecnologico de Cd. Madero, Mexico, in 2005 and 2007, respectively. Madero, and the Ph.D. degree in engineering from Universidad Panamericana, Guadalajara, Mexico, in 2021. She is currently a Professor at Universidad Panamericana, Campus Guadalajara, Mexico. Dr. Alejo-Reyes is the author of several scientific articles in the field of engineering. She is co-author of the book "Recent Metaheuristic Computation Schemes in Engineering" by Springer International Publishing. Her research interest is in Metaheuristic Algorithms, Supplier Selection, Inventory Theory, and optimization. Paulina Gonzalez-Ayala received a B.S in Civil Engineering and Administration and has a Master in Construction Administration from Universidad Panamericana, Campus Guadalajara. She is currently studying for a PhD in Engineering at the Universidad Panamericana, Campus Guadalajara. She worked at AVG Latam, a company dedicated to consulting in LeanManufacturing, Six Sigma and Value Engineering, as a junior consultant. She is currently working at the Universidad Panamericana as Secretary of Student Affairs of the Faculty of Engineering and she is also a profesor at the Computer Academy. Her research interest is in Metaheuristic Algorithms, Supplier Selection and optimization. Alma Rodriguez earned her Bachelor of Science in Industrial Engineering and her Master's degree from CETI, Mexico, in 2005 and 2007, respectively. She went on to achieve her Doctorate in Engineering from the Universidad de Guadalajara, located in Guadalajara, Mexico, in 2021. Dr. Rodriguez has made her mark as an author of numerous engineering-related scientific publications. She contributed as a co-author to the publication "Recent Metaheuristic Computation Schemes in Engineering," released by Springer International Publishing. Her research primarily focuses on the areas of Metaheuristic Algorithms, Supplier Selection, Inventory Theory, and the broader field of optimization.

Inhalt

Introduction to MATLAB.- Graphics in MATLAB.- Linear Algebra.- Interpolation and Polynomials.- Numerical Methods of Differentiation.- Numerical Methods of Integration.- Roots of Nonlinear Equations.- Interpolation by Parts (splines).- Differential Equations.