Discrete fractional calculus:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
[2015]
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Physical Description: | 1 Online Ressource (XIII, 556 Seiten) |
| ISBN: | 9783319255620 |
| DOI: | 10.1007/978-3-319-25562-0 |
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Record in the Search Index
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| adam_text | DISCRETE FRACTIONAL CALCULUS
/ GOODRICH, CHRISTOPHER
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
DISCRETE FRACTIONAL CALCULUS
/ GOODRICH, CHRISTOPHER
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Goodrich, Christopher Peterson, Allan C. 1942- |
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| author_role | aut aut |
| author_sort | Goodrich, Christopher |
| author_variant | c g cg a c p ac acp |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-25562-0 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:25:29Z |
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| isbn | 9783319255620 |
| language | English |
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| spelling | Goodrich, Christopher Verfasser (DE-588)1088765408 aut Discrete fractional calculus Christopher Goodrich, Allan C. Peterson Cham Springer [2015] © 2015 1 Online Ressource (XIII, 556 Seiten) txt rdacontent c rdamedia cr rdacarrier Mathematics Difference equations Functional equations Differential equations Functions of real variables Ordinary Differential Equations Difference and Functional Equations Real Functions Mathematik Ableitung gebrochener Ordnung (DE-588)4365956-1 gnd rswk-swf Gebrochene Analysis (DE-588)4722475-7 gnd rswk-swf Ableitung gebrochener Ordnung (DE-588)4365956-1 s Gebrochene Analysis (DE-588)4722475-7 s 1\p DE-604 Peterson, Allan C. 1942- Verfasser (DE-588)1088765971 aut Erscheint auch als Druckausgabe 978-3-319-25560-6 https://doi.org/10.1007/978-3-319-25562-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840332&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Goodrich, Christopher Peterson, Allan C. 1942- Discrete fractional calculus Mathematics Difference equations Functional equations Differential equations Functions of real variables Ordinary Differential Equations Difference and Functional Equations Real Functions Mathematik Ableitung gebrochener Ordnung (DE-588)4365956-1 gnd Gebrochene Analysis (DE-588)4722475-7 gnd |
| subject_GND | (DE-588)4365956-1 (DE-588)4722475-7 |
| title | Discrete fractional calculus |
| title_auth | Discrete fractional calculus |
| title_exact_search | Discrete fractional calculus |
| title_full | Discrete fractional calculus Christopher Goodrich, Allan C. Peterson |
| title_fullStr | Discrete fractional calculus Christopher Goodrich, Allan C. Peterson |
| title_full_unstemmed | Discrete fractional calculus Christopher Goodrich, Allan C. Peterson |
| title_short | Discrete fractional calculus |
| title_sort | discrete fractional calculus |
| topic | Mathematics Difference equations Functional equations Differential equations Functions of real variables Ordinary Differential Equations Difference and Functional Equations Real Functions Mathematik Ableitung gebrochener Ordnung (DE-588)4365956-1 gnd Gebrochene Analysis (DE-588)4722475-7 gnd |
| topic_facet | Mathematics Difference equations Functional equations Differential equations Functions of real variables Ordinary Differential Equations Difference and Functional Equations Real Functions Mathematik Ableitung gebrochener Ordnung Gebrochene Analysis |
| url | https://doi.org/10.1007/978-3-319-25562-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840332&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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