The book covers various topics of computer algebra methods, algorithms and software applied to scientific computing. An important topic presented in the book, which may be of interest to researchers and engineers, is the application of computer algebra methods to the development of new efficient analytic and numerical solvers, both for ordinary and partial differential equations. A specific feature of the book is an intense use of advanced software systems such as Mathematica, Maple etc. for the solution of problems as outlined above and for the industrial application of computer algebra for simulation. The book will be useful for researchers and engineers who apply advanced computer algebra methods for the solution of their problems.