Problem Book in the Theory of Functions, Volume II

Konrad Knopp

ISBN 10: 0486601595 / ISBN 13: 9780486601595

Edité par Dover Publications, 1952

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Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 0.48. N° de réf. du vendeur G0486601595I3N00

Détails bibliographiques

Titre : Problem Book in the Theory of Functions, ...

Éditeur : Dover Publications

Date d'édition : 1952

Reliure : Paperback

Etat : Good

Etat de la jaquette : No Jacket

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Synopsis :

Book by Knopp Konrad

À propos de la quatrième de couverture:

This is the fifth and final volume of The Theory Of Functions, a classic set prepared by a mathematician of international renown. It contains additional problems in the elementary theory of functions, supplementing Part I, together with more than 230 problems in the advanced theory. While it was designed for use in conjunction with Knopp's Theory Of Functions, Parts I and II, it can be used with any comparable text.

As in Part I, the unusually difficult problems are starred and hints for solution are given wherever necessary. Once again, also, fully half the book is taken up by rigorous, full solutions for all the problems.

Problems are built upon: I. ADDITIONAL PROBLEMS FOR PART I. Fundamental concepts, infinite sequences and series, functions of a complex variable, etc. II. SINGULARITIES. Laurent expansion; various types of singularities; the residue theorem, zeros and potes. III. ENTIRE AND MEROMORPHIC FUNCTIONS. Weierstrass's factor theorem, Mittag-Leffler's theorem, etc. IV. PERIODIC FUNCTIONS. Simply and doubly periodic functions. V. ANALYTIC CONTINUATION. Of power series, of arbitrarily given functions. VI. MULTIPLE-VALUED FUNCTIONS AND RIEMANN SURFACES. General, algebraic functions. VII. CONFORMAL MAPPING. Concept, general theory, specific mapping problems.

"The difficult task of selecting from the immense material . . . the problems just within the reach of the beginner is here masterfully accomplished," - American Mathematical Society