Abstract

Two parts of Volume I of Alfred Pringsheim’s long-awaited Lectures on Number Theory and the Theory of Functions have now appeared: Part One is subtitled ‘Real Numbers and Number Sequences’, part Two ‘Infinite Series with Real Members’; a third part will contain an introduction to complex numbers, the completion of the theory of series which this necessitates, and the theory of complex numbers and continued fractions. The second volume is to contain “an introduction to the theory of one-valued analytic functions of a complex variable and the simplest many-valued inverse functions on the basis of Weierstrass’s methods and their further development, particularly with respect to the theory of integral transcendental functions and analytic progressions.”

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