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The Fractional Calculus; Theory and Applications of Differentiation and Integration to Arbitrary Order
By
Keith B. Oldham and
Jerome Spanier
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Bibliographic Detail
Publisher
Elsevier Science Ltd
Publication date
November 1, 1974
Binding
Hardcover
Book category
Adult Non-Fiction
ISBN-13
9780125255509
ISBN-10
0125255500
Availability§
Out of Print
Original list price
$175.00
Other format details
sci/tech
§As reported by publisher
Summaries and Reviews
Amazon.com description: Product Description: 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; and
methods 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 particular
branches, 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
methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and
methods 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 particular
branches, 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
Editions
Hardcover
The price comparison is for this edition
from Elsevier Science Ltd (November 1, 1974)
9780125255509 | details & prices | List price $175.00
About: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.
About: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.
Paperback
from Dover Pubns (April 28, 2006); titled "The Fractional Calculus: Theory And Applications of Differentiation And Integration to Arbitrary Order"
9780486450018 | details & prices | 234 pages | 5.75 × 8.50 × 0.50 in. | 0.60 lbs | List price $16.95
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