Graph Master

Springer, 2006. - 374 pages. This volume celebrates the first decade of the Computer Algebra system Magma. With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more abstract parts of mathematics. This book introduces the reader to the role Magma plays in advanced mathematical research through 14 case studies which, in most cases, describe computations underpinning...

Издательство Springer, 2006, -399 pp. The appearance of this volume celebrates the first decade of Magma, a new computer algebra system launched at the First Magma Conference on Computational Algebra held at Queen Mary and Westfield College, London, August 1993. This book introduces the reader to the role Magma plays in advanced mathematical research. Each paper examines how the computer can be used to gain insight into either a single problem o...

John Wiley, New York, 1964, 328 pp. This is a classic text by a master of the subject. It contains well-written discussions of a broad set of topics. It is dated in some respects, but still contains much that is useful and interesting. Introduction. part one. Solution of Equations. Part two. Interpolation and Approximation. Part three. Computation.

Springer, 2009. - 619 Pages. In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underl...

Chapman & Hall/CRC, 2009. - 362 pages. In addition to gaining insight into the dynamic changes that have recently occurred in the field, readers of this book will quickly master the use of DQ methods to solve complex problems. The book discusses the limitations of direct DQ methods and common strategies to remove these limitations. It presents the formulations of several new DQ methods and applies these novel DQ methods to solve problems tha...