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

Libro 36 de 70: Chapman & Hall/CRC Pure and Applied Mathematics

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

 
9781584886617: Elements of Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)
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ISBN 10: 1584886617 ISBN 13: 9781584886617
Editorial: Chapman and Hall/CRC, 2006

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Chapman and Hall/CRC
Año de publicación
2006
Idioma
Inglés
ISBN 10 
1584886617
ISBN 13 
9781584886617
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
450
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania