Functional Fractional Calculus (Record no. 107808)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04101nam a22004695i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-642-20545-3 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083801.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110719s2011 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783642205453 |
| -- | 978-3-642-20545-3 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-642-20545-3 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | TA329-348 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | TA640-643 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | TBJ |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT003000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Das, Shantanu. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Functional Fractional Calculus |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Shantanu Das. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XXVIII, 616p. 108 illus. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | CHAPTER 1 INTRODUCTION TO FRACTIONAL CALCULUS -- CHAPTER 2FUNCTIONS USED IN FRACTIONAL CALCULUS -- CHAPTER 3 OBSERVATION OF FRACTIONAL CALCULUS IN PHYSICAL SYSTEM DESCRIPTION -- CHAPTER-4 CONCEPT OF FRACTIONAL DIVERGENCE AND FRACTIONAL CURL CHAPTER-5 -- FRACTIONAL DIFFERINTEGRATIONS INSIGHT CONCEPTS -- CHAPTER-6 INITIALIZED DIFFERINTEGRALS AND GENERALIZED CALCULUS -- CHAPTER-7 GENERALIZED LAPLACE TRANSFORM FOR FRACTIONAL DIFFERINTEGRALS -- CHAPTER-8 APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN ELECTRICAL CIRCUIT ANALYSIS & ELECTROMAGNETICS -- CHAPTER-9 APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN OTHER SCIENCE AND ENGINEERING FIELDS -- CHAPTER-10 SYSTEM ORDER IDENTIFICATION AND CONTROL -- CHAPTER-11 SOLUTION OF GENERALIZED DIFFERENTIAL EQUATION SYSTEMS . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, description and then efficient controls. In the second edition of this successful book the concepts of fractional and complex order differentiation and integration are elaborated mathematically, physically and geometrically. Various important new examples are presented, such as heterogeneity effects in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, or physics of random delay in computer networks . Special emphasis in this new edition is placed on the practical utility of local fractional differentiation for enhancing the character of singularity at phase transition or characterizing the irregularity measure of response function. Practical results of viscoelastic experiments, fractional order control experiments, design of fractional controller and practical circuit synthesis for fractional order elements are presented in a modern approach as well. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer science. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Engineering mathematics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Appl.Mathematics/Computational Methods of Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computational Science and Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Complexity. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783642205446 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-20545-3 |
| 912 ## - | |
| -- | ZDB-2-ENG |
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