Essays on the theory of numbers. (Record no. 623516)
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| fixed length control field | 01578nam a2200229Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250616143758.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220923b |||||||| |||| 00| 0 eng d |
| 037 ## - SOURCE OF ACQUISITION | |
| Terms of availability | Reference |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | RTL |
| Transcribing agency | RTL |
| Language of cataloging | eng |
| 041 ## - LANGUAGE CODE | |
| Source of code | eng |
| Language code of text/sound track or separate title | eng |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | B13 K3/SC |
| Assigning agency | RTL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Dedekind, Richard |
| 9 (RLIN) | 316876 |
| 245 #0 - TITLE STATEMENT | |
| Title | Essays on the theory of numbers. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York |
| Name of publisher, distributor, etc. | Dover Publications, Inc. |
| Date of publication, distribution, etc. | 1963 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 115 p. |
| Dimensions | cm. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.<br/>The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.<br/> |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics- Irrational Numbers |
| 9 (RLIN) | 812934 |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Wooster Woodruff Beman |
| Relator term | Translator |
| 9 (RLIN) | 812935 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Classification part | B13 K3/SC |
| Koha item type | Reference |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Ratan Tata Library | Ratan Tata Library | 2022-09-26 | B13 K3/SC | RT1149006 | 2022-09-26 | 2022-09-26 | Reference |