“This text provides an overview of the basics of scientific computing. … the author provides an excellent introduction to the field of scientific computing via a consideration of physically relevant models. … This text is an excellent tool for teaching and ideal for readers who would like to enter the field, or reinforce prior knowledge.” (Charis Harley, zbMATH 1356.65188, 2017)<p></p>

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular. 
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This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization.
Preface.- Algorithms and implementations.- Analysis.- Generalizations.- Models.- Scientific Software Engineering.- References.- Index. 
This is an open access book, the electronic versions are freely accessible online.
Easy-to-read mathematics with detailed explanations Demonstrates the transition of a mathematical problem to well-tested computer code in detail Uses modern Python-based programming tools and techniques Illustrates the computing pipeline: model, method, algorithm, implementation, testing, and visualization....
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Open Access This book is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
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Produktdetaljer

ISBN
9783319294384
Publisert
2016-06-12
Utgiver
Vendor
Springer International Publishing AG
Høyde
254 mm
Bredde
178 mm
Aldersnivå
Lower undergraduate, UP, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet

Om bidragsyterne

Hans Petter Langtangen is a professor of computer science at the University of Oslo. He has formerly been a professor of mechanics and is now the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen has published over 100 scientific publications and written several books, including papers and a bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 4th edition. He has also developed open source and commercial software systems for computational sciences.