The Resource Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson
Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson
Resource Information
The item Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 integerorder 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 12 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 12 may be covered quickly and readers may then skip to Chapters 67 which present some basic results in fractional boundary value problems (FBVPs). Chapters 67 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 twosemester course, Chapters 15 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integerorder calculus
 Language
 eng
 Extent
 xiii, 556 pages
 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
 Isbn
 9783319255606
 Label
 Discrete fractional calculus
 Title
 Discrete fractional calculus
 Statement of responsibility
 Christopher Goodrich, Allan C. Peterson
 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 integerorder 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 12 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 12 may be covered quickly and readers may then skip to Chapters 67 which present some basic results in fractional boundary value problems (FBVPs). Chapters 67 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 twosemester course, Chapters 15 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integerorder 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
 Bibliography note
 Includes bibliographical references (pages 545551) 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
 Bibliography note
 Includes bibliographical references (pages 545551) 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/DiscretefractionalcalculusChristopher/8QyS39k8vYw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/DiscretefractionalcalculusChristopher/8QyS39k8vYw/">Discrete fractional calculus, Christopher Goodrich, Allan C. Peterson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>