Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to...

This book is an introduction to numerical methods for students in engineering. It covers the usual topics found in an engineering course: solution of equations, interpolation and data fitting, solution of differential equations, eigenvalue problems, and optimization. The algorithms are implemented in Python 3, a high-level programming...

One of the most important tasks in finance is to find good mathematical models for financial products, in particular derivatives. However, the more realistic the model, the more practitioners face still-unsolved problems in rigorous mathematics and econometrics, in addition to serious numerical difficulties. The idea behind this book is to...

Results matter, whether you are a mathematician, scientist, or engineer. The time that you spend doing tedious mathematical calculations could be spent in more productive ways. Sage is an open-source mathematical software system that helps you perform many mathematical tasks. There is no reason to compute integrals or perform algebraic...

This volume presents recent advances in computational fluid dynamics. The topics range from fundamentals and computational techniques to a wide variety of applications in astronomy, applied mathematics and meteorology. They describe recent calculations in direct numerical simulation of turbulence, applications of turbulence modelling of...