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

George Pólya and Gabor Szegö
Publisher: 
Springer Verlag
Publication Date: 
2004
Number of Pages: 
392
Format: 
Paperback
Series: 
Classics in Mathematics
Price: 
47.95
ISBN: 
3540636862
Category: 
Problem Book
BLL Rating: 

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

[Reviewed by
BLL Committee
, on
12/12/2008
]


 Functions of One Complex Variable. Special Part.- Maximum Term and Central Index, Maximum Modulus and Number of Zeros.- Schlicht Mappings.- Miscellaneous Problems.- The Location of Zeros.- Rolle's Theorem and Descartes' Rule of Signs.- The Geometry of the Complex Plane and the Zeros of Polynomials.- Miscellaneous Problems.- Polynomials and Trigonometric Polynomials.- Determinants and Quadratic Forms.- Number Theory.- Arithmetical Functions.- Polynomials with Integral Coefficients and Integral-Valued Functions.- Arithmetical Aspects of Power Series.- Some Problems on Algebraic Integers.- Miscellaneous Problems.- Geometric Problems.- Appendix: Additional Problems.- Author Index.- Subject Index.- Topics.- Errata.

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