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

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Dimitrios Mitsotakis

Computational Mathematics

An introduction to Numerical Analysis and Scientific Computing with Python

Dimitrios Mitsotakis

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Hardback

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English

Chapman & Hall/CRC
19 June 2023

Numerical analysis; Applied mathematics; Mathematical theory of computation

Series: Advances in Applied Mathematics

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.

Features:

No previous experience in Python is required.

Includes simplified computer code for fast-paced learning and transferable skills development.

Includes practical problems ideal for project assignments and distance learning.

Presents both intuitive and rigorous faces of modern scientific computing.

Provides an introduction to neural networks and machine learning.

By: Dimitrios Mitsotakis
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 980g
ISBN: 9781032262390
ISBN 10: 1032262397
Series: Advances in Applied Mathematics
Pages: 508
Publication Date: 19 June 2023
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

1. Introduction to Python. 2. Matrices and Python. 3. Scientific computing. 4. Calculus facts. 5. Roots of equations. 6. Interpolation and approximation. 7. Numerical integration. 8. Numerical differentiation and applications to differential equations. 9. Numerical linear algebra. 10. Best approximations. 11. Unconstrained optimization and neural networks. 12. Eigenvalue problems.

Dimitrios Mitsotakis received a PhD in Mathematics in 2007 from the University of Athens. His experience with high-performance computing started while at the Edinburgh Parallel Computing Center at the University of Edinburgh. Dimitrios worked at the University Paris-Sud as a Marie Curie fellow, at the University of Minnesota as an associate postdoc and at the University of California, Merced as a Visiting Assistant Professor. Dimitrios is currently an associate professor/reader at the School of Mathematics and Statistics of Victoria University of Wellington. He has published his work in journals of numerical analysis and in more general audience journals in physics, coastal engineering, waves sciences, and in scientific computing. He develops numerical methods for the solution of equations for water waves, and he studies real-world applications such as the generation of tsunamis. Some of his main contributions are in the theory and numerical analysis of Boussinesq systems for nonlinear and dispersive water waves.