MARC Record from marc_columbia

LEADER: 03877pam a22003614a 4500
001 5405594
005 20050927121507.0
008 050531s2005 riua b 000 0 eng
010 $a 2005048205
020 $a0821834576 (acid-free paper)
035 $a(OCoLC)ocm60558866
035 $a(NNC)5405594
040 $aDLC$cDLC$dYDX$dOrLoB-B
041 1 $aeng$hrus
042 $apcc
043 $ae-ru---
049 $aZCUA
050 00 $aQA241$b.D413 2005
082 00 $a512.7$222
100 1 $aDelone, B. N.$q(Boris Nikolaevich),$d1890-1980.
240 10 $aPeterburgskai︠a︡ shkola teorii chisel.$lEnglish
245 14 $aThe St. Petersburg school of number theory /$cB.N. Delone ; translated by Robert Burns.
246 3 $aSaint Petersburg school of number theory
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$cc2005.
300 $axv, 278 p. :$bill. ;$c27 cm.
440 0 $aHistory of mathematics,$x0899-2428 ;$vv. 26
504 $aIncludes bibliographical references (p. 273-278).
505 00 $tPafnutii L'vovich Chebyshev -- $tChebyshev's articles on the prime numbers -- $tOn the determination of the number of primes not exceeding a given number -- $tOn the prime numbers -- $tAleksandr Nikolaevich Korkin -- $tThe articles of Korkin and Zolotarev on the minima of positive quadratic forms -- $tOn quaternary positive quadratic forms -- $tOn quadratic forms -- $tOn positive quadratic forms -- $tEgor Ivanovich Zolotarev -- $tZolotarev's memoirs on the theory of ideal numbers -- $tThe theory of complex integers with an application to the integral calculus -- $tZolotarev's articles of 1878 and 1885 -- $tAndrei Andreevich Markov -- $tOn binary quadratic forms of positive determinant -- $tGeorgii Fedoseevich Voronoi -- $tVoronoi's dissertations on algebraic numbers of the third degree -- $tOn integral algebraic numbers depending on a root of an equation of the third degree -- $tOn a generalization of the continued fraction algorithm -- $tVoronoi's memoir of 1903 : "on a problem from the theory of asymptotic functions" -- $tVoronoi's memoirs on quadratic forms -- $tProperties of perfect positive quadratic forms -- $tInvestigations concerning primitive parallelohedra -- $tIvan Matveevich Vinogradov -- $tWorks of Vinogradov from the first period of his mathematical activity -- $tWaring's problem -- $tThe Goldbach problem -- $tEstimation of Weyl sums and the problem of the fractional parts of a polynomial -- $tA list of works in number theory by Chebyshev, Korkin, Zolotarev, Markov, Voronoi, and Vinogradov.
520 1 $a"For over two centuries, the work of St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The book The St. Petersburg School of Number Theory is about the life and work of six prominent members of this school, Chebyshev, Korkin, Zolotarev, Markov, Voronoi, and Vinogradov. The work of these mathematicians in number theory is indeed of the highest quality and continues to have lasting significance." "The book acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution is presented as a summary of the author's original work and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly." "With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians and mathematicians working in number theory."--BOOK JACKET.
650 0 $aNumber theory.
650 0 $aMathematics$zRussia (Federation)$zSaint Petersburg$xHistory.
650 0 $aMathematicians$zRussia (Federation)$zSaint Petersburg$xHistory.
852 00 $bmat$hQA241$i.D413 2005