The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order (Mathematics in Science and Engineering, Volume 111)

Keith B. Oldham, Jerome Spanier

ISBN 10: 0125255500 / ISBN 13: 9780125255509

Published by Elsevier Science, Academic Press, 1974

About this Item

Red cloth boards, with gilt titles to front and spine and no DW. Small name inside, but an otherwise tight, bright and clean copy with no foxing. 234pp. (16x23.5cm). Please contact us for any more information.

Seller Inventory # 7195

Bibliographic Details

• Title: The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order (Mathematics in Science and Engineering, Volume 111)
• Publisher: Elsevier Science, Academic Press
• Publication Date: 1974
• Language: English
• ISBN 10: 0125255500
• ISBN 13: 9780125255509
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Near Fine
• Weight: 1 kilogram
• Seller catalogs:
  • Mathematics

About this title

Synopsis

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

About the Author

Keith B. Oldham is Professor of Chemistry at Trent University in Ontario, and Jerome Spanier is a research mathematician at the University of California at Irvine.