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Lattice Methods for Multiple Integration by I. H. Sloan
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Located in: Fairbanks, Alaska, United States
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eBay item number:204695164753
Item specifics
- Condition
- EAN
- 9780198534723
- UPC
- 9780198534723
- ISBN
- 9780198534723
- MPN
- N/A
- Subject Area
- Mathematics
- Publication Name
- Lattice Methods for Multiple Integration
- Item Length
- 9.5 in
- Publisher
- Oxford University Press, Incorporated
- Subject
- Calculus, Topology, Applied
- Publication Year
- 1994
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.8 in
- Item Width
- 6.3 in
- Item Weight
- 19.4 Oz
- Number of Pages
- 252 Pages
About this product
Product Information
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 avery efficent manner. the book also provides a fast track for readers wanting to move rapidly to using methods in practical calculations. It concludes with extensive numerical test which compare lattice methods with other methods, such as the Monte Carlo.
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0198534728
ISBN-13
9780198534723
eBay Product ID (ePID)
53093
Product Key Features
Publication Name
Lattice Methods for Multiple Integration
Format
Hardcover
Language
English
Subject
Calculus, Topology, Applied
Publication Year
1994
Type
Textbook
Subject Area
Mathematics
Number of Pages
252 Pages
Dimensions
Item Length
9.5 in
Item Height
0.8 in
Item Width
6.3 in
Item Weight
19.4 Oz
Additional Product Features
LCCN
94-023066
Intended Audience
College Audience
Lc Classification Number
Qa311.S56 1994
Reviews
'This nice book gives a thorough coverage of the numerical integration of high dimensional functions by means of lattice rules.....................I found the book very readable, and busy readers are well advised by the authors how to spend best their time with the book'Monatshefte fur Mathematik Vol. 124 1997, "I can recommend this book to everyone who wants or needs to know more about computing multivariate integrals. This book gives a very good overview of the current state-of-the-art lattice rules, and it is very readable."--Bulletin of the American Mathematical Society"This book is devoted to the numerical multiple integration based on lattice rules, generalizing the rectangle rule for an interval."--Mathematical Reviews, "I can recommend this book to everyone who wants or needs to know more about computing multivariate integrals. This book gives a very good overview of the current state-of-the-art lattice rules, and it is very readable."-- Bulletin of the American Mathematical Society "This book is devoted to the numerical multiple integration based on lattice rules, generalizing the rectangle rule for an interval."-- Mathematical Reviews, "I can recommend this book to everyone who wants or needs to know more about computing multivariate integrals. This book gives a very good overview of the current state-of-the-art lattice rules, and it is very readable."--Bulletin of the American Mathematical Society "This book is devoted to the numerical multiple integration based on lattice rules, generalizing the rectangle rule for an interval."--Mathematical Reviews
Table of Content
PrefaceIntroduction1. Lattice rules2. Lattice rules as multiple sums3. Rank-1 rules - the method of good lattice points4. Lattice rules of higher rank - a first look5. Maximal rank lattice rules6. Intermediate rank lattice rules7. Lattice rules for nonperiodic integrands8. Lattice rules - other topics9. Practical implementation of lattice rules10. Comparisons with other methodsAppendicesReferencesIndex
Copyright Date
1994
Dewey Decimal
515/.624
Dewey Edition
20
Illustrated
Yes
Item description from the seller
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eBay item number:204695164753
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Fairbanks, Alaska, United States
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