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Problems and theorems in analysis : Volume II Theory of functions, zeros, polynomials determinants, number theory, geometry
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| Auteurs principaux : | , |
|---|---|
| Autres auteurs : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Problems and theorems in analysis. Volume II, Theory of functions, zeros, polynomials determinants, number theory, geometry / G. Polya, G. Szegö; translation by C.E. Billigheimer |
| Publié : |
Berlin, Heidelberg, New York :
Springer-Verlag
, copyright 1976 |
| Description matérielle : | 1 vol. (XI-391 p.) |
| Collection : | Grundlehren der mathematischen Wissenschaften ; 216 |
| Traduction de : | Aufgaben und Lehrsätze aus der Analysis |
| Sujets : |
- Part four : Functions of one complex variable. Special part.
- I. Maximum term and central index, maximum modulus and number of zeros.
- II. Schlicht mappings.
- III. Miscellaneous problems.
- Part five : The location of zeros.
- I. Rolle's theorem and Descartes' rule of signs.
- II. The geometry of the complex plane and the zeros of polynomials.
- III. Miscellaneous problems.
- Part six : Polynomials and trigonometric polynomials.
- Part seven : Determinants and quadratic forms.
- Part eight : Number theory.
- I. Arithmetical functions.
- II. Polynomials with integral coefficients and integral-valued functions.
- III. Arithmetical aspects of power series.
- IV. Some problems on algebraic integers.
- V. Miscellaneous problems.
- Part nine : Geometric problems.
- Appendix.