Applied analysis
Cornelius Lanczos
Dover
FOR MANY YEARS the author has been engaged in studies of those fields of mathematical analysis that are of primary concern to the engineer and the physicist. That this area of “workablemathematics” did not receive the same attention during the 19th century as did the classical fields of analysis is perhaps the result of a historical mis understanding. Until the time of Gauss and Legendre the “workable”methods of analysis received the closest attention of the best mathe maticians. The brilliant discovery of the theory of limits changed the emphasis. Thenceforth it was considered satisfactory to design infinite approximation processes by which the validity of certain analytical results could be established, irrespective of whether the process used were feasible or not for a given problem.&nbsp;<p><br></p>