Springer Computer Algebra Handbook: Foundations · Applications · Systems

This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education. Review From the reviews: "This is a substantially enlarged report originally covering the state and future of computer algebra in Germany. ... Overall, it gives a high-level (in the sense of abstraction; no theorems, let alone proofs, are in general provided) autoritative overview of what is going on and should be of help to poeple looking for a research topic, software for specific problems or, later on, writing on the history of the subject." H.Muthsam, Monatshefte für Mathematik 142, issue 2, p. 170, 2004 "This handbook is very impressive. Written by more than two hundred spcialists, this international eidition of a previous German report presents the state of the art of a large field of computational mathematics called computer algebra. .... So, as Bob Caviness says in the preface of the book, "Gentle reader, I recommend this volume and all its concepts, symbols, and algorihtms to you." J.M.Ollagnier, Mathematical Reviews Clippings from Issue 2004h "This encyclopaedic book is a wonderful source of information on computer algebra. ... Although most people who come to this book will probably use it as an encyclopaedia, it is much more than that. Researchers in coputer algebra will benefit from the extensive bibliography, and lecturers will find it a mine of ideas for interesting topics that might be discussed in a course on computer algebra and its applications. Finally, to all computer algebra aficionados this book will also provide wonderful entertainment for many a rainy day." S.C.Coutinho, The Mathematical Gazette Vol. 88, Issue 512 (2004) 410-411 "... A handbook must be considered as well-composed if it addresses "all" issues of the area and if its individual articles provide rough surveys of their subject and point the reader to the relevant recent literature. From this point of view, this Computer Algebra Handbook is certainly well-composed: To strangers of the area it offers easy gathering of information about a particular subject (to be located either through the Table of Contents or the Subject Index"; to experts in computer algebra, it provides access to subjects outside their expertise. ... The team of editors must be congratulated upon succeeding in collecting contributions of more than 200 authors which make a concise and homogeneous volume." H.Stetter, IMN - Internationale Mathematische Nachrichten 194, 2003 "... The interesting focus of the book is the fact that the editors have been able to encourage about 200 specialsit on different branches of the subject to contribute to the project. ... In fact it is a handbook of present day status of computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. Moreover it might be useful for any potential user to consult the book for the presnet day status of the problems he has in mind. So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an anlysis of the present day state of the field." P.Schenzel, Zentralblatt für Mathematik 1017.68162, 2003 "In fact it is a handbook of present day status of the computer algebra. It may serve as an encyclopedia of computer algebra for an interested user. … So it could be helpful to pursue her or his own work by integrating methods from computer algebra. One should be grateful to the editors to organize this amount of work in order to integrate the international computer algebra community for such an analysis of the present day state of the field." (Peter Schenzel,