Elements of Real Analysis

Informationen zum Autor M.A. Al-Gwaiz, S.A. Elsanousi Klappentext Focusing on one of the main pillars of mathematics, this 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; theorems like mean value, Taylor's, and Darboux's; and power series. The final chapters focus on the more advanced theory of Lebesgue measure and integration. Zusammenfassung Presents the fundamental axioms of the real number system. This book also features the core of real analysis. It presents the essentials needed for analysis, including the concepts of sets, relations, and functions. It covers the theory of calculus on the real line, exploring limits, convergence tests. Inhaltsverzeichnis Preface. Preliminaries. Real Numbers. Sequences. Infinite Series. Limit of a Function. Continuity. Differentiation. The Riemann Integral. Sequences and Series of Functions. Lebesgue Measure. Lebesgue Integration. References. Notation. Index.

Détails du produit

• Auteurs: M. a. Al-Gawaiz, M. A. Al-Gwaiz, M. A. Elsanousi Al-Gwaiz, M.A. Al-Gwaiz, M.a. Elsanousi Al-Gwaiz, S. A. Elsanousi, S.A. Elsanousi
• Collaboration: Zuhair Nashed (Editeur de la série), Earl Taft (Editeur de la série)
• Edition: Taylor & Francis Ltd.
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 21.08.2006
• EAN: 9781584886617
• ISBN: 978-1-58488-661-7
• Pages: 450
• Thèmes: Chapman & Hall/CRC Pure and Applied Mathematics; Chapman & Hall/CRC Pure and Applied Mathematics
• Catégories: Sciences naturelles, médecine, informatique, technique > Mathématiques > Général, dictionnaires; MATHEMATICS / General, Mathematics