REAL ANALYSIS

Book Details

• Author: Klambauer, Gabriel

• Brand: Dover

• Binding: Paperback

• Number of Pages: 436

• Release Date: 03-11-2005

• EAN: 9780486445243

• Package Dimensions: 8.4 x 5.4 x 0.9 inches

• Languages: English

About The Book
Contemporary Real Analysis by Gabriel Klambauer is a graduate-level textbook that introduces real analysis, focusing particularly on integration theory. This concise yet comprehensive text is designed for students with a background in mathematics, providing an in-depth exploration of key concepts in real analysis.

The first four chapters offer a critical study of Lebesgue measure theory and the integration of real functions, forming the foundation of differential and integral calculus. Following chapters expand into abstract measure and integration theory, as well as topological and metric spaces—subjects that are central to advanced analysis. The book also delves into Stone's formulation of Daniell integration, concluding with a detailed treatment of the Riesz representation theorem. Additionally, normed linear spaces are explored in-depth.

Exercise sections at the end of each chapter are integral to the text, reinforcing the material covered and providing students with practical opportunities to apply the concepts. This textbook is an essential resource for anyone looking to deepen their understanding of modern real analysis and integration theory.