Eight Lectures on Mathematical Analysis isatranslation and adaptation of a book by the outstanding Russian mathe­ matician A. Ya. Khinchin. It is based on a series of lectures delivered at the University of Moscow by Professor Khinchin to improve the mathematical qualifications of engineers.In this book, the reader will find a masterful outline of the fundamental ideas of mathematical analysis. Inessential de­ tails have purposely been omitted, and the resulting exposition is clear and easy to follow. The book should be accessible to anyone who has had even a sketchy introduction to the mate­ rial. And yet, because it is a concise, lucid exposition of the most important concepts of mathematical analysis, the book should be of value to the student enrolled in a university course in analysis.A. YA. KHINCHIN, until his death in 1959, was a professor at Moscow State University, a corresponding member of the Academy of Sciences, and a member of the Academy of Peda­ gogical Sciences of the RSFSR. The author of more than one hundred fifty mathematical research papers and books, he will be remembered as a world-renowned authority in mathemati­ cal analysis, probability theory, number theory, and mathe­ matical statistics.