The book covers various topics of computer algebra methods, algorithms and software applied to scientific computing. One of the important topics of the book is the application of computer algebra methods for the development of new efficient analytic and numerical solvers, both for ordinary and partial differential equations. A specific feature of the book is a detailed analysis of the advanced software systems like Mathematica, Maple etc. from the viewpoint of their applicability for the solution of scientific computing problems. The book will be useful for researchers and engineers who apply the advanced computer algebra methods for the solution of their tasks.