Gods and Heroes of Classical Antiquity by Irene Aghion

Gods and Heroes of Classical Antiquity by Irene Aghion

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Gods and Heroes of Classical Antiquity by Irene Aghion

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.
SKU Unavailable
ISBN 13 9782080135803
ISBN 10 2080135805
Title Gods and Heroes of Classical Antiquity
Author Irene Aghion
Series Flammarion Iconographic Guides S
Condition Unavailable
Binding Type Paperback
Publisher Editions Flammarion
Year published 1996-10-28
Number of pages 352
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.