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Computing, in the sense of doing mathematical calculations, is a skill that mankind has developed over thousands of years. Programming, on the other hand, is in its infancy, with a history that spans a few decades only. Both topics are vastly comprehensive and usually taught as separate subjects in educational institutions around the world, especially at the undergraduate level. This book is about the combination of the two, because computing today becomes so much more powerful when combined with programming.
The First Few Steps
Basic Constructions
Computing Integrals
Solving Ordinary Differential Equations
Solving Partial Differential Equations
Solving Nonlinear Algebraic Equations