Additive number theory (Record no. 227863)
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000 -LEADER | |
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fixed length control field | 01999nam a22001937a 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20230720104352.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 230714b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781441928481 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | AL |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Edition number | 23 |
Classification number | 512.72 |
Item number | NATG |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Melvyn B Nathanson |
9 (RLIN) | 126887 |
245 ## - TITLE STATEMENT | |
Title | Additive number theory |
Remainder of title | : The classical bases |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | New York |
Name of publisher, distributor, etc. | Springer |
Date of publication, distribution, etc. | 1996 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xiv,342p. |
Other physical details | PB |
Dimensions | 23x15cm. |
365 ## - TRADE PRICE | |
Source of price type code | General |
Price type code | 146 |
Price amount | ₹5050.00 |
Currency code | ₹ |
Unit of pricing | ₹6474.00 |
Price note | 22% |
Price effective from | 06/04/2023 |
520 ## - SUMMARY, ETC. | |
Summary, etc. | [Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper are costly but the reader's effort and time are not. H. Weyl [143] The purpose of this book is to describe the classical problems in additive number theory and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools used to attack these problems. This book is intended for students who want to lel?Ill additive number theory, not for experts who already know it. For this reason, proofs include many "unnecessary" and "obvious" steps; this is by design. The archetypical theorem in additive number theory is due to Lagrange: Every nonnegative integer is the sum of four squares. In general, the set A of nonnegative integers is called an additive basis of order h if every nonnegative integer can be written as the sum of h not necessarily distinct elements of A. Lagrange 's theorem is the statement that the squares are a basis of order four. The set A is called a basis offinite order if A is a basis of order h for some positive integer h. Additive number theory is in large part the study of bases of finite order. The classical bases are the squares, cubes, and higher powers; the polygonal numbers; and the prime numbers. The classical questions associated with these bases are Waring's problem and the Goldbach conjecture. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Algebra |
9 (RLIN) | 126888 |
Source of heading or term | Mathematics |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Book |
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 | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
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Dewey Decimal Classification | Mathematics | St Aloysius PG Library | St Aloysius PG Library | 07/13/2023 | Biblios Book Point | 5050.00 | 512.72 NATG | PG024313 | 07/14/2023 | 6474.00 | 06/04/2023 | Book |