Elements of Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics) - Hardcover

Al-Gwaiz, M.A.; Elsanousi, S.A.

Hardcover

ISBN 10: 1584886617 ISBN 13: 9781584886617

Publisher: Chapman and Hall/CRC, 2006

Synopsis

Focusing on one of the main pillars of mathematics, Elements of Real Analysis provides a solid foundation in analysis, stressing the importance of two elements. The first building block comprises analytical skills and structures needed for handling the basic notions of limits and continuity in a simple concrete setting while the second component involves conducting analysis in higher dimensions and more abstract spaces.

Largely self-contained, the book begins with the fundamental axioms of the real number system and gradually develops the core of real analysis. The first few chapters present the essentials needed for analysis, including the concepts of sets, relations, and functions. The following chapters cover the theory of calculus on the real line, exploring limits, convergence tests, several functions such as monotonic and continuous, power series, and theorems like mean value, Taylor's, and Darboux's. The final chapters focus on more advanced theory, in particular, the Lebesgue theory of measure and integration.

Requiring only basic knowledge of elementary calculus, this textbook presents the necessary material for a first course in real analysis. Developed by experts who teach such courses, it is ideal for undergraduate students in mathematics and related disciplines, such as engineering, statistics, computer science, and physics, to understand the foundations of real analysis.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2006
• ISBN 10: 1584886617
• ISBN 13: 9781584886617
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 450