| Computer Algebra Handbook: Foundations - Applications - Systems 2003 Edition Contributor(s): Grabmeier, Johannes (Editor), Hitz, M. (Translator), Kaltofen, Erich (Editor) |
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ISBN: 3540654666 ISBN-13: 9783540654667 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: November 2002 Annotation: This Computer Algebra Handbook gives a comprehensive snapshot of this field at the intersection of mathematics and computer science with applications in physics, engineering and education. It contains both theory, systems and practice of the discipline of symbolic computation and computer algebra. With the wide angle of a "lense" of about 200 contributors it shows the state of computer algebra research and applications in the last decade of the twentieth century. Aside from discussing the foundations of computer algebra, the handbook describes 67 software systems and packages that perform tasks in symbolic computation. In addition, the handbook offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education. The book is accompanied by a CD-ROM, containing demo versions for most of the computer algebra systems treated in the book, as well as links to further information on some of these. This book will be very useful as a reference to graduate students and researchers in symbolic computation and computer algebra. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Computers | Data Processing - Computers | Programming - Algorithms |
| Dewey: 004 |
| LCCN: 2002190828 |
| Physical Information: 1.66" H x 6.52" W x 9.38" (2.53 lbs) 637 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Two ideas lie gleaming on the jeweler's velvet. The first is the calculus, the sec- ond, the algorithm. The calculus and the rich body of mathematical analysis to which it gave rise made modern science possible; but it has been the algorithm that has made possible the modern world. -David Berlinski, The Advent of the Algorithm First there was the concept of integers, then there were symbols for integers: I, II, III, 1111, fttt (what might be called a sticks and stones representation); I, II, III, IV, V (Roman numerals); 1, 2, 3, 4, 5 (Arabic numerals), etc. Then there were other concepts with symbols for them and algorithms (sometimes) for ma- nipulating the new symbols. Then came collections of mathematical knowledge (tables of mathematical computations, theorems of general results). Soon after algorithms came devices that provided assistancefor carryingout computations. Then mathematical knowledge was organized and structured into several related concepts (and symbols): logic, algebra, analysis, topology, algebraic geometry, number theory, combinatorics, etc. This organization and abstraction lead to new algorithms and new fields like universal algebra. But always our symbol systems reflected and influenced our thinking, our concepts, and our algorithms. |
