Invitation to Classical Analysis (Pure and Applied Undergraduate Texts)
The author's goal is to revive and reinvigorate at the undergraduate level a host of topics that used to be or ought to be well known. ... Although I read the book in linear order, the chapters are mostly independent of each other and can be sampled at random. The book is thus an excellent source of supplementary material for upper-level undergraduate courses. Each chapter starts at an introductory level and rises to a fairly high peak. Two notable features of the book are substantial sets of good exercises at the ends of chapters and engaging historical vignettes scattered throughout (portraits of a dozen of the principal actors are included). ... It is a treat to watch a master landscape artist at work coloring the sky without using cerulean blue. ... The composition of the book is superior. ... This volume is a valuable guidebook for tourists in the old country of analysis. Pick up a copy and learn to speak like a native. --Harold P. Boas, The American Mathematical MonthlyIt seems just a beautiful book, and it is really needed. ... Had such a book existed when I was a student, I might have gone straight into analysis. ... The topics that you treat have not only fallen from the curriculum but have fallen from easy availability to students. An instructor has to present them on his own and refer students to scattered resources if they want to learn more. Thanks for taking the trouble to write the book. --Raz Stowe, Idaho State University, Pocatello, ID[T]his book offers a wealth of gems of classical real analysis in a very lucid and exciting style of presentation. No doubt, this wonderful collection of topics is the work of a highly passionate and experienced teacher, whose expository mastery becomes apparent everywhere in the book . . . Summing up, this excellent book is a highly useful and valuable complement to the existing standard texts in modern advanced calculus. --Werner Kleinert, Zentralblatt MATH