Real Analysis 1st Edition by Ap Singh – Ebook PDF Instant Download/Delivery: 9788193336342, 8193336348
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Product details:
ISBN 10: 8193336348
ISBN 13: 9788193336342
Author: Ap Singh
Real Analysis is a branch of mathematical analysis that deals with the properties and behavior of real numbers, sequences and series, functions, limits, continuity, differentiation, and integration. It provides a rigorous framework for understanding calculus and lays the groundwork for more advanced studies in mathematics, such as functional analysis, probability theory, and topology.
This subject emphasizes proof-based learning, requiring students to not only perform computations but also understand and construct logical arguments about the nature of real-valued functions and their behavior.
Table of contents:
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The Real Number System
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Basic Topology of the Real Line
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Sequences and Series
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Limits and Continuity
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Differentiation
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The Riemann Integral
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Sequences and Series of Functions
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Metric Spaces
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Function Spaces
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Lebesgue Measure and Integration
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Tags: Ap Singh, Real Analysis