MARC ayrıntıları
| 000 -LEADER |
| fixed length control field |
03396cam a22003495i 4500 |
| 001 - CONTROL NUMBER |
| control field |
41286 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
| fixed length control field |
160208s2015 gw | |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
9783319255620 |
|
| International Standard Book Number |
9783319255606 |
| Qualifying information |
print |
| 035 ## - SYSTEM CONTROL NUMBER |
| System control number |
(OCoLC) |
| 040 ## - CATALOGING SOURCE |
| Modifying agency |
WaSeSS |
| -- |
BAUN |
| Original cataloging agency |
BAUN |
| Language of cataloging |
eng |
| Transcribing agency |
BAUN |
| Description conventions |
rda |
| 049 ## - LOCAL HOLDINGS (OCLC) |
| Holding library |
BAUN_MERKEZ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
| Classification number |
QA372 |
| Item number |
.G66 2015 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
| Personal name |
Goodrich, Christopher. |
| 245 10 - TITLE STATEMENT |
| Title |
Discrete fractional calculus / |
| Statement of responsibility, etc |
by Christopher Goodrich, Allan C. Peterson. |
| 250 ## - EDITION STATEMENT |
| Edition statement |
1st ed. 2015. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
| Place of production, publication, distribution, manufacture |
Cham : |
| Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
| -- |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2015. |
| 300 ## - PHYSICAL DESCRIPTION |
| Extent |
xiii, 556 pages ; |
| Dimensions |
24 cm. |
| 336 ## - CONTENT TYPE |
| Source |
rdacontent |
| Content Type Term |
text |
| Content Type Code |
txt |
| 337 ## - MEDIA TYPE |
| Source |
rdamedia |
| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| 338 ## - CARRIER TYPE |
| Source |
rdacarrier |
| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| 505 00 - FORMATTED CONTENTS NOTE |
| Title |
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. |
| 520 ## - SUMMARY, ETC. |
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name as entry element |
Mathematics. |
|
| Topical term or geographic name as entry element |
Difference equations. |
|
| Topical term or geographic name as entry element |
Functional equations. |
|
| Topical term or geographic name as entry element |
Differential equations. |
|
| Topical term or geographic name as entry element |
Functions of real variables. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Peterson, Allan C. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |