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Book Cover
E-book
Author Al-Gwaiz, M. A

Title Elements of Real Analysis
Published Hoboken : CRC Press, 2006

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Description 1 online resource (448 pages)
Series Chapman & Hall/CRC Pure and Applied Mathematics
Chapman & Hall/CRC Pure and Applied Mathematics
Contents Front cover; Preface; Contents; Chapter 1. Preliminaries; Chapter 2. Real Numbers; Chapter 3. Sequences; Chapter 4. Infinite Series; Chapter 5. Limit of a Function; Chapter 6. Continuity; Chapter 7. Differentiation; Chapter 8. The Riemann Integral; Chapter 9. Sequences and Series of Functions; Chapter 10. Lebesgue Measure; Chapter 11. Lebesgue Integration; Notation; Back Cover
Summary PREFACEPRELIMINARIES Sets FunctionsREAL NUMBERSField AxiomsOrder Axioms Natural Numbers, Integers, Rational NumbersCompleteness Axiom Decimal Representation of Real Numbers Countable SetsSEQUENCESSequences and ConvergenceProperties of Convergent Sequences Monotonic SequencesThe Cauchy Criterion Subsequences Upper and Lower Limits Open and Closed Sets INFINITE SERIESBasic Properties Convergence TestsLIMIT OF A FUNCTIONLimit of a Function Basic Theorems Some Extensions of the LimitMonotonic Functions CONTINUITY Continuous Functions Combinations of Continuous Functions Continuity on an IntervalUn
Notes Print version record
Subject Mathematical analysis.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Mathematical analysis
Form Electronic book
Author Elsanousi, S. A
ISBN 9781420011609
142001160X