Foundations of analysis over surreal number fields (Record no. 21846)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05349cam a2200973Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn316553001 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172225.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090320s1987 ne ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | OPELS |
| Modifying agency | OPELS |
| -- | OCLCQ |
| -- | OCLCF |
| -- | OCLCO |
| -- | DEBBG |
| -- | N$T |
| -- | IDEBK |
| -- | E7B |
| -- | UA@ |
| -- | OCLCE |
| 019 ## - | |
| -- | 312403311 |
| -- | 646774103 |
| -- | 802299825 |
| -- | 823839783 |
| -- | 823907714 |
| -- | 824096930 |
| -- | 824149821 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444702265 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444702261 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080872520 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080872522 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1281798053 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781281798053 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 15193021 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962481 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 407391037 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048130666 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV039834204 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)316553001 |
| Canceled/invalid control number | (OCoLC)312403311 |
| -- | (OCoLC)646774103 |
| -- | (OCoLC)802299825 |
| -- | (OCoLC)823839783 |
| -- | (OCoLC)823907714 |
| -- | (OCoLC)824096930 |
| -- | (OCoLC)824149821 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 127713:122763 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | dlr |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA1 |
| Item number | .N86 no. 117eb |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA241 |
| Item number | .A45 1987eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 002040 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBF |
| Source | bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Edition number | 22 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.3 |
| Edition number | 22 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | MAT 260f |
| Number source | stub |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | SI 867 |
| Number source | rvk |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Alling, Norman L. |
| 245 10 - TITLE STATEMENT | |
| Title | Foundations of analysis over surreal number fields |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | Norman L. Alling. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | New York : |
| Name of publisher, distributor, etc. | North-Holland ; |
| Place of publication, distribution, etc. | New York, N.Y., U.S.A. : |
| Name of publisher, distributor, etc. | Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |
| Date of publication, distribution, etc. | 1987. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xvi, 373 p.) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematics studies ; |
| Volume/sequential designation | 141 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Notas de matem�atica ; |
| Volume/sequential designation | 117 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | In this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given. Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. 353-358) and index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Materials specified | Use copy |
| Standardized terminology for access restriction | Restrictions unspecified |
| Source of term | star |
| Institution to which field applies | MiAaHDL |
| 533 ## - REPRODUCTION NOTE | |
| Type of reproduction | Electronic reproduction. |
| Place of reproduction | [S.l.] : |
| Agency responsible for reproduction | HathiTrust Digital Library, |
| Date of reproduction | 2011. |
| Institution to which field applies | MiAaHDL |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Uniform Resource Identifier | <a href="http://purl.oclc.org/DLF/benchrepro0212">http://purl.oclc.org/DLF/benchrepro0212</a> |
| Institution to which field applies | MiAaHDL |
| 583 1# - ACTION NOTE | |
| Action | digitized |
| Time/date of action | 2011 |
| Jurisdiction | HathiTrust Digital Library |
| Status | committed to preserve |
| Source of term | pda |
| Institution to which field applies | MiAaHDL |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Surreal numbers. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic fields. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical analysis. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Nombres surr�eels. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Corps alg�ebriques. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analyse math�ematique. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic fields. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00804931 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical analysis. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01012068 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Surreal numbers. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01139537 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Algebra |
| -- | Intermediate. |
| Source of heading or term | bisacsh |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | s�erie formelle. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | s�erie puissance. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | espace affine. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | topologie. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | nombre r�eel. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Corps alg�ebriques. |
| Source of heading or term | ram |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analyse math�ematique. |
| Source of heading or term | ram |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Zahlk�orper. |
| Source of heading or term | swd |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Algebraic number fields |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Surrealer Zahlk�orper. |
| Source of term | swd |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Alling, Norman L. |
| Title | Foundations of analysis over surreal number fields. |
| Place, publisher, and date of publication | Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987 |
| International Standard Book Number | 0444702261 |
| -- | 9780444702265 |
| Record control number | (DLC) 87006735 |
| -- | (OCoLC)15629532 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematics studies ; |
| Volume number/sequential designation | 141. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Notas de matem�atica (Rio de Janeiro, Brazil) ; |
| Volume number/sequential designation | no. 117. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444702265">http://www.sciencedirect.com/science/book/9780444702265</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=03040208&volume=141">http://www.sciencedirect.com/science/publication?issn=03040208&volume=141</a> |
| Materials specified | Volltext |
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| Koha item type | E(electronic)-Books |
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No items available.
