THE THEORY OF FUNCTIONS OF A REAL VARIABLE

Students in search of a concise, carefully written course in real variable theory will find it in this lucid exposition. After an Introduction outlining problems involved in the foundations of number systems, the author presents important information on functions, point sets and integration in order to prepare the reader for the main purpose of the book: a detailed study of the problem of inverting the derivative of a continuous function, and an exhaustive and comprehensive consideration of derived numbers and derivatives of arbitrary functions over arbitrary sets.