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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
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Description du livre Paperback. Etat : Very Good. First Thus. Translated by Frederick Bagemihl. (light shelfwear and toning to extremities). Size: 8vo - over 7¾" - 9¾". Book. N° de réf. du vendeur 0842234
Description du livre Paperback. Etat : Very Good. No Jacket. First U.S. Edition. Problem Book in the Theory of Functions, Volume II. Clean throughout. N° de réf. du vendeur 072455
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