• Produktbild: Problems and Theorems in Analysis II
  • Produktbild: Problems and Theorems in Analysis II

Problems and Theorems in Analysis II Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry

Aus der Reihe Classics in Mathematics

56,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.12.1997

Abbildungen

XII, 392 p.

Verlag

Springer Berlin

Seitenzahl

392

Maße (L/B/H)

23,5/15,5/2,3 cm

Gewicht

622 g

Auflage

1998

Übersetzt von

C.E. Billigheimer

Sprache

Englisch

ISBN

978-3-540-63686-1

Beschreibung

Rezension

From 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.

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.12.1997

Abbildungen

XII, 392 p.

Verlag

Springer Berlin

Seitenzahl

392

Maße (L/B/H)

23,5/15,5/2,3 cm

Gewicht

622 g

Auflage

1998

Übersetzt von

C.E. Billigheimer

Sprache

Englisch

ISBN

978-3-540-63686-1

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

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  • Produktbild: Problems and Theorems in Analysis II
  • Produktbild: Problems and Theorems in Analysis II
  • Four. 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 EnglishEdition.- Author Index.- Topics.