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elements of real analysis by shanti narayan [pdf]

Elements of Real Analysis, Shanti Narayan

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About this book :-
Elements of Real Analysis written by Shanti Narayan.
This book is an attempt to present Elements of Real Analysis to under-graduate students,* on the basis of the University Grants Commission Review Committee report recommendations and several Universities having provided a course along the lines of these recomendations. This book must not, however, be thought of an abridged edition of the Author’s “A Course of Mathematical Analysis” for M.A. students.
The book contains some examples and exercises meant only to help a proper undertaking of the text. The book also seeks to adopt comparatively more modern notation for the subject. It is hoped that this “Elements of Real Analysis” will provide a stimulus for the commencement of the study of Analysis at undergraduate stage which has already been so much delayed.
(Shanti Narayan)

Book Detail :-
Title: Elements of Real Analysis
Author(s): Shanti Narayan
Publisher: S Chand and Company
Pages: 744
Type: PDF
Language: English
ISBN: 978-8121903066, 8121903068
Country: India
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About Author :-
The author Shanti Narayan , Formaly Dean of Colleges, University of Delhi, Delhi. He is an india mathematician and author of many famous math books

All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Real Analysis, Shanti Narayan NEW
• Download PDF Integral Calculus I; Shanti Narayan NEW
• Download PDF Integral Calculus I; Shanti Narayan NEW
• Download PDF Integral Calculus II; Shanti Narayan NEW
• Download PDF Differential Calculus II; Shanti Narayan NEW

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Book Contents :-
Elements of Real Analysis written by Shanti Narayan cover the following topics. '
1. Sets and Functions
2. The Real Numbers
3. Neighbourhoods and Limit Points of a Set Open and Closed Sets
4. Countability of Sets
5. Sequences
6. Infinite Series with Postive Terms
7. Infinite Series with Postive Terms and Negative Series
8. Real Functions Limit and Continuity
9. Real Functions and The Derivative
10. Mean Value Theorems
11. Maxima and Minima
12. Indeterminate Forms
13. Reimann Integrability
14. The Riemann Stieltjes Integral
15. Uniform Convergence of Sequence and Series of Functions
16. Improper Integrals17. Power Series
18. Double Sequences and Series
19. Metric Spaces
20. Beta and Gamma Functions
21. Differentation Under the Integral Sign


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