Analysis in positive characteristic (Record no. 56660)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01775 a2200229 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220820b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780521509770 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Item number | KOC |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kochubei, Anatoly N. |
| 245 ## - TITLE STATEMENT | |
| Title | Analysis in positive characteristic |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc | Cambridge University Press, |
| Date of publication, distribution, etc | 2009. |
| Place of publication, distribution, etc | Cambridge: |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix, 210p.; |
| Other physical details | hbk; |
| Dimensions | 24cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Cambridge tracts in mathematics, no. 178 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes references and index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Devoted to counterparts of classical structures of mathematical analysis in analysis over local fields of positive characteristic, this book treats positive characteristic phenomena from an analytic viewpoint. Building on the basic objects introduced by L. Carlitz - such as the Carlitz factorials, exponential and logarithm, and the orthonormal system of Carlitz polynomials - the author develops a kind of differential and integral calculi. He also expands on the basics of an analytic theory of (Carlitz's) differential equations, providing a useful foundation for the study of various special functions. The differential calculus is extended to a type of Rota's umbral calculus, and an investigation is made of the corresponding rings of differential operators. A theory of quasi-holonomic modules over these rings, having some common features with holonomic modules in the sense of Bernstein, is also connected to some special functions in the spirit of Zeilberger's theory.<br/><br/>https://www.cambridge.org/core/books/analysis-in-positive-characteristic/878A716A22462F0F187AA64710C73072#fndtn-information |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Local fields--Algebra |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Calculus |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential Equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Carlitz Rings |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Barcode | Date last seen | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 18/08/2022 | Books India | 0.00 | 515 KOC | 031755 | 18/08/2022 | 1 | 9624.45 | Books |
