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Preface.- The first few steps.- Basic constructions.- Computing integrals.- Solving ordinary differential equations.- Solving partial differential equations.- Solving nonlinear algebraic equations.- Getting access to Python.- References.- Index
This is an open access book, the electronic versions are freely accessible online.
Svein Linge is a professor of modelling and simulation at the University College of Southeast Norway and holds a Dr. Scient. degree in biomechanics from the Norwegian School of Sport Sciences. He works part-time at a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory, to which he has been linked for the last 13 years. His main research interests includes cerebrospinal fluid dynamics, cardiac electro-mechanics and sport biomechanics. Over the last decade, Linge has been particularly engaged in reforming the engineering education in mathematics and physics to take advantage of computer programming and simulation.
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 the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He has also developed open source and commercial software systems for computational sciences.
"The book uses programming to impart a deeper understanding of the pragmatic meaning of some of the mathematics most frequently used in engineering and the sciences. ... This very good introductory textbook could be used in a variety of courses. A motivated reader with knowledge of calculus could easily use it for self-study. I highly recommend it." (David Naugler, Computing Reviews, February, 2017)"This book is intended for novice programmers, especially students, teachers, engineers and scientists from areas related to mathematics and numerical mathematics. ... each treated concept is illustrated and explained in detail by means of working examples. On the basis of exercises, the reader is given the opportunity to deepen acquired knowledge. ... The clear presentation and the large number of concrete examples, often with a graphical output, make this book ideally suited for self-study and ensures a quick success." (Stefan Meyer, zbMATH 1350.68003, 2017)