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

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

Autor Dimitrios Mitsotakis
en Limba Engleză Hardback – 19 iun 2023
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.
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Specificații

ISBN-13: 9781032262390
ISBN-10: 1032262397
Pagini: 528
Ilustrații: 92 Halftones, black and white; 92 Illustrations, black and white
Dimensiuni: 178 x 254 x 29 mm
Greutate: 0.98 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Advances in Applied Mathematics

Public țintă

Undergraduate Advanced

Cuprins

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.

Notă biografică

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.

Descriere

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, and advantages and pitfalls of classical numerical methods alongside with computer code and experiments in Python.