REAL ANALYSIS
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REAL ANALYSIS
Book Details
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Publisher: Scientific International Pvt. Ltd.
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ISBN: 9789387025516
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Author: Mukesh Kumar
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Subject: Mathematics
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Language: English
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Binding: Paperback
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Copyright Year: 2024
About the Book
Real Analysis is a comprehensive textbook that introduces fundamental concepts of real number systems and sequences, with a focus on convergence and series. The book is structured into five chapters:
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Real Number System – Covers basic properties of the real number system, including binary and ternary expansions and Cantor ternary.
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Sets and Limit Points – Introduction to open and closed sets, finite and infinite sets, and countable sets.
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Sequences – Focuses on the properties of sequences and key theorems related to them.
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Series – Explores concepts like Cauchy's fundamental test, alternating series, geometric series, and tests like the ratio test.
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Convergence of Series of Functions – Discusses absolute convergence, power series, uniform convergence, and Weierstrass’s M-Test.
Each chapter includes Multiple Choice Questions to reinforce learning.
