Selected Topics In The Theory Of Divergent Series And Of Continued Fractions (1905)

Selected Topics in the Theory of Divergent Series and of Continued Fractions is a book written by Edward B. Van Vleck, first published in 1905. The book is a comprehensive study of the theory of divergent series and continued fractions, which are important mathematical concepts used in various fields such as physics, engineering, and finance. The book is divided into four parts, each covering a different aspect of the theory. The first part introduces the basic concepts of divergent series and continued fractions, including their definitions, properties, and applications. The second part focuses on the convergence and divergence of series and continued fractions, and includes discussions on the various tests for convergence and divergence. The third part of the book deals with the summation of divergent series and continued fractions, and includes methods such as Cesaro summation, Abel summation, and Borel summation. The final part of the book covers the applications of divergent series and continued fractions in various fields, including physics, engineering, and finance.Overall, Selected Topics in the Theory of Divergent Series and of Continued Fractions is a valuable resource for anyone interested in the theory and applications of these important mathematical concepts. The book is written in a clear and concise style, making it accessible to both beginners and experts in the field.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.