Mathematical Analysis : Approximation and Discrete Processes

This book introduces the main ideas and fundamental methods of analysis. A key feature of this lively yet rigorous and systematic exposition is the historical accounts of ideas and methods pertaining to the relevant topics. Most interesting and useful are the connections developed between analysis and other mathematical disciplines, in this case, numerical analysis and probability theory. "Mathematical Analysis: Approximation and Discrete Processes" features beautiful illustrations, examples, and exercises at the end of each chapter.