| Lattice Methods for Multiple Integration Contributor(s): Sloan, I. H. (Author), Joe, S. (Author) |
|
 |
ISBN: 0198534728 ISBN-13: 9780198534723 Publisher: Clarendon Press OUR PRICE: $128.25 Product Type: Hardcover Published: November 1994 Annotation: This is the first book devoted to lattice methods, a recently developed way of calculating multiple integrals in many variables. Multiple integrals of this kind arise in fields such as quantum physics and chemistry, statistical mechanics, Bayesian statistics and many others. Lattice methods are an effective tool when the number of integrals are large. The book begins with a review of existing methods before presenting lattice theory in a thorough, self-contained manner, with numerous illustrations and examples. Group and number theory are included, but the treatment is such that no prior knowledge is needed. Not only the theory but the practical implementation of lattice methods is covered. An algorithm is presented alongside tables not available elsewhere, which together allow the practical evaluation of multiple integrals in many variables. Most importantly, the algorithm produces an error estimate in a very efficient manner. The book also provides a fast track for readers wanting to move rapidly to using lattice methods in practical calculations. It concludes with extensive numerical tests which compare lattice methods with other methods, such as the Monte Carlo. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Applied - Mathematics | Counting & Numeration |
| Dewey: 515.624 |
| LCCN: 94023066 |
| Series: Oxford Science Publications |
| Physical Information: 0.76" H x 6.37" W x 9.24" (1.19 lbs) 252 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Lattice methods were recently developed to handle the multiple integrals that occur in quantum chemistry, physics, statistical mechanics, Bayesian statistics, and numerous other fields. Lattice Methods for Multiple Integration provides an outstanding introduction to the subject, offering numerous examples and detailed, practical descriptions of how each method can be applied to a wide range of situations. Thorough and self-contained, the book includes a user-friendly overview of lattice theory and introduces an important new algorithm--along with tables unavailable elsewhere--that both allows for the practical evaluation of multiple integrals in many variables and efficiently produces an error estimate. The book concludes with extensive numerical tests which compare lattice methods to other methods, such as the Monte Carlo. |