Simple Real-Valued Functions

Author: Yang Haiou, Editor-in-Chief
Publisher:
Publish Date: 2002-03-01
Features: This book is divided into 4 chapters. The first chapter, "Sets and Cardinality," introduces set operations and cardinality, and discusses the properties of real number point sets, as well as the properties of open and closed sets. The second chapter is on measure theory, introducing Lebesgue measure. Chapters 3 and 4 discuss measurable functions, their Lebesgue integrals, and the limits of integral sequences, establishing the Dominated Convergence Theorem. This book can serve as a mathematics textbook for graduate students in various engineering disciplines.