Computational Mathematics: An introduction to Numerical Analysis and Scientific Computing with Python

This textbook is a comprehensive introduction to computational mathematics and scientific computing suitable for undergraduate and postgraduate courses. It presents both practical and theoretical aspects of the subject, as well as advantages and pitfalls of classical numerical methods alongside with computer code and experiments in Python. Each chapter closes with modern applications in physics, engineering, and Computer Science.

The choice of programming language for scientific computations is a rather difficult task. One may choose among classical programming languages such as C/C++ and Fortran, or languages such as Python, Julia and MATLAB. In this book, we present all the material in Python. Python is a free programming language with a wide variety of extensions. These include extensions to Data Science and Machine Learning, as well as more traditional areas, such as the numerical solution of differential equations.