Overview
- Surveys and compares many different programming languages
- Helps to decide which programming language to use for which purpose
- Programming concepts are introduced in well-known mathematical contexts
Part of the book series: Texts in Computational Science and Engineering (TCSE, volume 25)
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Table of contents (16 chapters)
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Front Matter
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Background
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Front Matter
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Core Languages
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Front Matter
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Commercial Computing Environments
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Front Matter
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Distributed Computing
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Front Matter
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Specialized Programming Frameworks
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Front Matter
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Keywords
About this book
The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike standard approaches, it does not focus on any specific language, but aims to explain the underlying ideas.
Typically, new concepts are first introduced in the particularly user-friendly Python language and then transferred and extended in various programming environments from C/C++, Julia and MATLAB to Maple and Mathematica. This includes various approaches to distributed computing. By examining and comparing different languages, the book is also helpful for mathematicians and practitioners in deciding which programming language to use for which purposes.
At a more advanced level, special tools for the automated solution of partial differential equations using the finite element method are discussed. On a more experimental level, the basic methods of scientific machine learning in artificial neural networks are explained and illustrated.
Reviews
Authors and Affiliations
About the author
He has published a textbook on Mathematical Computability Theory, and a biography of the German computer scientist C.A. Petri. Both books have been published by Springer. In recent years he has mainly been concerned with the teaching of numerical methods at the University of Bonn, with an emphasis on computer programming.
Bibliographic Information
Book Title: Introduction to the Tools of Scientific Computing
Authors: Einar Smith
Series Title: Texts in Computational Science and Engineering
DOI: https://doi.org/10.1007/978-3-031-16972-4
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-16971-7Published: 28 October 2022
Softcover ISBN: 978-3-031-16974-8Published: 29 October 2023
eBook ISBN: 978-3-031-16972-4Published: 27 October 2022
Series ISSN: 1611-0994
Series E-ISSN: 2197-179X
Edition Number: 2
Number of Pages: XIII, 428
Number of Illustrations: 1 b/w illustrations
Topics: Computational Mathematics and Numerical Analysis, Mathematics of Computing