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Elements of Real Analysis (Hardcover)
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Elements of Real Analysis (Hardcover)
Series: Chapman & Hall/CRC Pure and Applied Mathematics
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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.
General
| Imprint: |
Chapman & Hall/CRC
|
| Country of origin: |
United States |
| Series: |
Chapman & Hall/CRC Pure and Applied Mathematics |
| Release date: |
August 2006 |
| First published: |
August 2006 |
| Authors: |
M.A. Al-Gwaiz
• S.A. Elsanousi
|
| Dimensions: |
236 x 160 x 30mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
436 |
| ISBN-13: |
978-1-58488-661-7 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
General
Promotions
|
| LSN: |
1-58488-661-7 |
| Barcode: |
9781584886617 |
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