Additive number theory (Record no. 227863)

MARC details
000 -LEADER
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
Holdings
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
    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