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Entire and Meromorphic Functions

Name: Entire and Meromorphic Functions
Brand: Springer, Berlin
SKU: 9780387945101
Price: 270.74 RON
Availability: InStock

With assist. fr. James E. Colliander

Autor: Lee A. Rubel

Limbă:

Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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270.74 lei

Mathematics is a beautiful subject, and entire functions is its most beautiful branch. Every aspect...

Informații despre carte

Autor

Lee A. Rubel

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1960

Pagini

188

EAN

9780387945101

ISBN

0387945105

Enbook ID

06793782

Editura

Springer, Berlin

Greutate

292

Dimensiuni

155 x 235 x 10

Descriere completă

Mathematics is a beautiful subject, and entire functions is its most beautiful branch. Every aspect of mathematics enters into it, from analysis, algebra, and geometry all the way to differential equations and logic. For example, my favorite theorem in all of mathematics is a theorem of R. NevanJinna that two functions, meromorphic in the whole complex plane, that share five values must be identical. For real functions, there is nothing that even remotely corresponds to this. This book is an introduction to the theory of entire and meromorphic functions, with a heavy emphasis on Nevanlinna theory, otherwise known as value-distribution theory. Things included here that occur in no other book (that we are aware of) are the Fourier series method for entire and mero morphic functions, a study of integer valued entire functions, the Malliavin Rubel extension of Carlson's Theorem (the "sampling theorem"), and the first-order theory of the ring of all entire functions, and a final chapter on Tarski's "High School Algebra Problem," a topic from mathematical logic that connects with entire functions. This book grew out of a set of classroom notes for a course given at the University of Illinois in 1963, but they have been much changed, corrected, expanded, and updated, partially for a similar course at the same place in 1993. My thanks to the many students who prepared notes and have given corrections and comments.