The Resource Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)
Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)
Resource Information
The item Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
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 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 twosemester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integerorder calculus
 Language
 eng
 Edition
 1st ed. 2015.
 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
 9783319255620
 Label
 Discrete Fractional Calculus
 Title
 Discrete Fractional Calculus
 Statement of responsibility
 by 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 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 twosemester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integerorder calculus
 Assigning source
 Provided by Publisher
 http://library.link/vocab/creatorName
 Goodrich, Christopher
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Peterson, Allan C.
 SpringerLink (Online service)
 http://library.link/vocab/subjectName

 Mathematics
 Difference equations
 Functional equations
 Differential equations
 Functions of real variables
 Label
 Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 9783319255620
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 XIII, 556 pages
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319255620
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319255620
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)939551671
 Label
 Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 9783319255620
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 XIII, 556 pages
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319255620
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319255620
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)939551671
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