PN’s Elements of Real Analysis has been written strictly according to the syllabus of the Common Program Group, comprising of the B.Sc./B.A. (Program), B.Sc. (Physical Sciences) and Generic Elective (G.E.) courses of the University of Delhi (under the curriculum prescribed by the NEP 2020). It would also be very useful as an introductory text for students of B.Sc. (Hons.) Mathematics 1st Sem. of Delhi University, as well as other Indian Universities.
The book covers the three basic topics in an introductory course of Real Analysis:
Salient Features
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Contains close to 40 Definitions, 80 Theorems and 80 Solved Examples (most of which have several parts), given in a graded, step by step format.
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Several exercises at the end of each Section provided for practice and supplementing the theory.
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Perfect for self study; no teacher required.
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Covers all the Theorems and Guideline problems in detail in very few pages.
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Almost all questions of the Common Program Group of Delhi University since 2020 included and solved at relevant places.
Chapter 1. R as a Complete Ordered Field
- The Field Properties
- The Order Properties
- Absolute Value
- Bounds, Supremum & Infimum
- The Completeness Property
- The Archimedean Property
Chapter 2. Real Sequences
- Sequences, Convergence & Limits
- Limit Theorems
- Limits and Inequalities
- Monotone Sequences
- Cauchy Sequences
- Properly Divergent Sequences
Chapter 3. Infinite Series
- Series: Basic Concepts & Results
- The Integral Test and p-series
- Comparison Tests
- Ratio, Root & Raabe’s Tests
- The Alternating Series Test
- Absolute & Conditional Convergence
Appendix: Symbolic Logic
ISBN13:
978-93-49290-44-0
Weight:
0.00
Edition:
1st Edition
Language:
English
Title Code:
1354