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The Resource Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson

Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson

Label
Discrete fractional calculus
Title
Discrete fractional calculus
Statement of responsibility
Christopher Goodrich, Allan C. Peterson
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject. Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 1--2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 1--2 may be covered quickly and readers may then skip to Chapters 6--7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6--7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1--5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus
Cataloging source
PRC
http://library.link/vocab/creatorName
Goodrich, Christopher S
Dewey number
515/.83
Index
index present
LC call number
QA314
LC item number
.G66 2015
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Peterson, Allan C.
http://library.link/vocab/subjectName
  • Fractional calculus
  • Fractional calculus
Label
Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 545-551) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Basic Difference Calculus -- 2. Discrete Delta Fractional Calculus and Laplace Transforms -- 3. Nabla Fractional Calculus -- 4. Quantum Calculus -- 5. Calculus on Mixed Time Scales -- 6. Fractional Boundary Value Problems -- 7. Nonlocal BVPs and the Discrete Fractional Calculus.-Solutions to Selected Problems -- Bibliography -- Index
Control code
949858463
Dimensions
24 cm
Extent
xiii, 556 pages
Isbn
9783319255606
Lccn
2015958659
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Specific material designation
regular print
System control number
(OCoLC)949858463
Label
Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 545-551) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Basic Difference Calculus -- 2. Discrete Delta Fractional Calculus and Laplace Transforms -- 3. Nabla Fractional Calculus -- 4. Quantum Calculus -- 5. Calculus on Mixed Time Scales -- 6. Fractional Boundary Value Problems -- 7. Nonlocal BVPs and the Discrete Fractional Calculus.-Solutions to Selected Problems -- Bibliography -- Index
Control code
949858463
Dimensions
24 cm
Extent
xiii, 556 pages
Isbn
9783319255606
Lccn
2015958659
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Specific material designation
regular print
System control number
(OCoLC)949858463

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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