One of the best introductions to the origins of topological problems, this work examines the 1st part of Riemann's Theory of Abelian Functions. In addition to its significance in the area of complex functions, this volume is extremely useful in its formulations of the topological equivalents of Riemann's surfaces. 1893 edition. Includes 43 figures. Unabridged republication of the 1893 edition.
Riemann’s Zeta Function by H. M. Edwards Superb study of the landmark 1859 publication entitled "On the Number of Primes Less Than a Given Magnitude" traces the developments in mathematical theory that it inspired. Topics include Riemann's main formula, the Riemann-Siegel formula, more.
The Concept of a Riemann Surface by Hermann Weyl, Gerald R. MacLane This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.
The General Theory of Dirichlet's Series by G. H. Hardy, Marcel Riesz This classic work by two distinguished mathematicians explains theory and formulas behind Dirichlet's series and offers first systematic account of Riesz's theory of summation of series by typical means. 1915 edition.
Summation of Series by L.B. W. Jolley More than 1,200 common series appear here. Collected, summed, and grouped for easy reference, they constitute an immensely useful handbook for mathematicians, physicists, computer technicians, engineers, and students.