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Taking an interdisciplinary approach, this new book provides a modern introduction to scientific computing, exploring numerical methods, computer technology, and their interconnections, which are treated with the goal of facilitating scientific research across all disciplines.
List of contents
1. Analytical and Numerical Solutions 2. A Few Concepts from Numerical Analysis 3. Roundoff and Number Representation 4. Programming Languages and Tools 5. Sample Problems; Building Conclusions 6. Approximation Theory 7. Other Common Computational Methods 8. Performance Basics and Computer Architectures 9. High-Performance and Parallel Computing 10. The Operation Count; Numerical Linear Algebra 11. Random Numbers and Stochastic Methods 12. Algorithms, Data Structures, and Complexity 13. Data 14. Building Programs for Computation and Data Analysis 15. Crash Course on Partial Differential Equiations 16. Reformulated Problems
About the author
Norbert Schörghofer is a Senior Scientist at the Planetary Science Institute and lives in Honolulu, Hawaii. After earning degrees in physics from the University of Vienna and the University of Chicago, he held visiting positions at MIT and Caltech, before moving to the University of Hawaii. His research areas are scientific modelling, planetary science, and astrogeophysics. He has published over 60 peer reviewed publications and has been a reviewer for 30 journals. His research has been featured in New Scientist, National Geographic Magazine, Astronomy Magazine, Huffington Post, and other mass media.
Summary
Taking an interdisciplinary approach, this new book provides a modern introduction to scientific computing, exploring numerical methods, computer technology, and their interconnections, which are treated with the goal of facilitating scientific research across all disciplines.
Additional text
"The book is a modernized, compact introduction into scientific computing. It combines the various components of the field (numerical analysis, discrete numerical mathematics, computer science, and computational hardware), subjects that are most often taught separately, into one book. The book takes a broad and interdisciplinary approach."—Hans Benker, Merseburg, in Zentralblatt MATH 1397
"The short, but insightful and deep book fills a gap in between scientific computing, computer science, numerics, and programming in various languages. I like very much that it does not build on one or the other language, but conveys concepts. I will definitely recommend it to bachelor and master students of any science or engineering major and will use it for teaching myself. "
—Detlef Lohse, Physics of Fluids, University of Twente, The Netherlands
"In an age when technical information is readily available on the Internet, what should a textbook on scientific computing look like? Norbert Schorghofer has a clear vision: his book provides a basic introduction to an extremely broad set of topics, enough to get a student started, and enough to pique the student's interest in delving deeper, either on the web or with more advanced books. Topics covered range across traditional numerical analysis, programming languages, modeling, computer architectures and parallel computing, and handling big data."
— William H. Press, University of Texas at Austin
