A Course of Modern Analysis - E. T. Whittaker, G. N. Watson

"The book is divided into two distinct parts. Part I. The Processes of Analysis discusses topics that have become standard in beginning courses. Of course the emphasis is in concrete examples and regrettably, this is different nowadays. Moreover the quality and level of the problems presented in this part is higher than what appears in more modern texts. During the second part of the last century, the tendency in introductory Analysis texts was to emphasize the topological aspects of the material"--