MARC Record from harvard_bibliographic_metadata

LEADER: 04071nam a22004335a 4500
001 014158616-8
005 20141003190756.0
008 121227s1998 gw | o ||0| 0|eng d
020 $a9783642619052
020 $a9783540636861 (ebk.)
020 $a9783642619052
020 $a9783540636861
024 7 $a10.1007/978-3-642-61905-2$2doi
035 $a(Springer)9783642619052
040 $aSpringer
050 4 $aQA299.6-433
072 7 $aMAT034000$2bisacsh
072 7 $aPBK$2bicssc
082 04 $a515$223
100 1 $aPólya, George,$eauthor.
245 10 $aProblems and Theorems in Analysis II :$bTheory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry /$cby George Pólya, Gabor Szegö.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1998.
300 $aXII, 392p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aClassics in Mathematics,$x0072-7830 ;$v216
505 0 $aFour. Functions of One Complex Variable. Special Part -- 1. Maximum Term and Central Index, Maximum Modulus and Number of Zeros -- 2. Schlicht Mappings -- 3. Miscellaneous Problems -- Five. The Location of Zeros -- 1. Rolle’s Theorem and Descartes’ Rule of Signs -- 2. The Geometry of the Complex Plane and the Zeros of Polynomials -- 3. Miscellaneous Problems -- Six. Polynomials and Trigonometric Polynomials -- § 1 (1–7) Tchebychev Polynomials -- § 2 (8–15) General Problems on Trigonometric Polynomials -- § 3 (16–28) Some Special Trigonometric Polynomials -- § 4 (29–38) Some Problems on Fourier Series -- § 5 (39–43) Real Non-negative Trigonometric Polynomials -- § 6 (44–49) Real Non-negative Polynomials -- § 7 (50–61) Maximum-Minimum Problems on Trigonometric Polynomials -- § 8 (62–66) Maximum-Minimum Problems on Polynomials -- § 9 (67–76) The Lagrange Interpolation Formula -- § 10 (77–83) The Theorems of S. Bernstein and A. Markov -- § 11 (84–102) Legendre Polynomials and Related Topics -- § 12 (103–113) Further Maximum-Minimum Problems on Polynomials -- Seven. Determinants and Quadratic Forms -- § 1 (1–16) Evaluation of Determinants. Solution of Linear Equations -- § 2 (17–34) Power Series Expansion of Rational Functions -- § 3 (35–43.2) Generation of Positive Quadratic Forms -- § 4 (44–54.4) Miscellaneous Problems -- § 5 (55–72) Determinants of Systems of Functions -- Eight. Number Theory -- 1. Arithmetical Functions -- 2. Polynomials with Integral Coefficients and Integral-Valued Functions -- 3. Arithmetical Aspects of Power Series -- 4. Some Problems on Algebraic Integers -- 5. Miscellaneous Problems -- Nine. Geometric Problems -- § 1 (1–25) Some Geometric Problems -- Errata -- § 1 Additional Problems to Part One -- New Problems in English Edition -- Author Index -- Topics.
520 $aFrom the reviews: "... In the past, more of the leading mathematicians proposed and solved problems than today, and there were problem departments in many journals. Pólya and Szego must have combed all of the large problem literature from about 1850 to 1925 for their material, and their collection of the best in analysis is a heritage of lasting value. The work is unashamedly dated. With few exceptions, all of its material comes from before 1925. We can judge its vintage by a brief look at the author indices (combined). Let's start on the C's: Cantor, Carathéodory, Carleman, Carlson, Catalan, Cauchy, Cayley, Cesàro,... Or the L's: Lacour, Lagrange, Laguerre, Laisant, Lambert, Landau, Laplace, Lasker, Laurent, Lebesgue, Legendre,... Omission is also information: Carlitz, Erdös, Moser, etc."Bull.Americ.Math.Soc.
650 10 $aMathematics.
650 0 $aGlobal analysis (Mathematics)
650 0 $aMathematics.
650 24 $aAnalysis.
700 1 $aSzegö, Gabor,$eauthor.
776 08 $iPrinted edition:$z9783540636861
830 0 $aClassics in Mathematics ;$v216.
988 $a20140910
906 $0VEN