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.

Klappentext

• Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable.

• Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.

Inhalt

Preface * Real Numbers and Natural Numbers * Sequences of Real Numbers * Integer Numbers: Congruences, Counting and Infinity * Complex Numbers * Polynomials, Rational Functions and Trigonometric Polynomials * Series * Power Series * Discrete Processes * Mathematicans and Other Scientists * Bibliographical Notes * Index