An Introduction to Partial Differential Equations with MATLAB, 3rd EditionКНИГИ » ПРОГРАММИНГ
Название: An Introduction to Partial Differential Equations with MATLAB, 3rd Edition Автор: Matthew P. Coleman, Vladislav Bukshtynov Издательство: CRC Press Год: 2025 Страниц: 510 Язык: английский Формат: pdf (true) Размер: 110.8 MB
The first two editions of An Introduction to Partial Differential Equations with MATLAB gained popularity among instructors and students at various universities throughout the world. Plain mathematical language is used in a friendly manner to provide a basic introduction to partial differential equations (PDEs).
Suitable for a one- or two-semester introduction to PDEs and Fourier series, the book strives to provide physical, mathematical, and historical motivation for each topic. Equations are studied based on method of solution, rather than on type of equation.
This third edition of this popular textbook updates the structure of the book by increasing the role of the computational portion, compared to previous editions. The redesigned content will be extremely useful for students of mathematics, physics, and engineering who would like to focus on the practical aspects of the study of PDEs, without sacrificing mathematical rigor. The authors have maintained flexibility in the order of topics.
In addition, students will be able to use what they have learned in some later courses (for example, courses in numerical analysis, optimization, and PDE-based programming). Included in this new edition is a substantial amount of material on reviewing computational methods for solving ODEs (symbolically and numerically), visualizing solutions of PDEs, using MATLAB's symbolic programming toolbox, and applying various schemes from numerical analysis, along with suggestions for topics of course projects.
However, by far the most significant change in this third edition is the addition of a number of chapters dedicated to the use of MATLAB, not only for the graphical visualization of functions/solutions, but, much more importantly, for the numerical solution of PDEs. As familiarity with MATLAB is not assumed, Chapter 3 serves as an introduction to the visualization of functions, the use of MATLAB’s Symbolic Math Toolbox for solving ODEs, and a few MATLAB built- in functions. Students will also have access to our code (see below) and, of course, to MATLAB’s very helpful website.1 In addition, we provide a treatment of various numerical methods for solving ODEs, in Chapter 6. Finally, we note that all MATLAB exercises and projects have been grouped together in the MATLAB sections of the book, at the end of each section. While a particular version of MATLAB (R2023a) was used to run all of the codes and prepare all of the figures in this book, most of these codes will run in earlier versions, with no changes required.
PYTHON also has become a very popular language among students and others in the mathematics, science, and engineering communities. Although not every MATLAB functionality is available in PYTHON, the authors have made every effort to convert our MATLAB code into PYTHON. This code also will be available for free download at the above website.
Students will use sample MATLAB or Python codes available online for their practical experiments and for completing computational lab assignments and course projects.
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An Introduction to Partial Differential Equations with MATLAB, 3rd Edition 
