Introduction to real analysis An Indian adaptation (Record no. 2353)

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000 -LEADER
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005 - DATE AND TIME OF LATEST TRANSACTION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789354244612
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.8
Item number BAR
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Bartle, Robert G
245 ## - TITLE STATEMENT
Title Introduction to real analysis An Indian adaptation
Statement of responsibility, etc. Robert G Bartle, Donald R Sherbert
250 ## - EDITION STATEMENT
Edition statement 4
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New Delhi
Name of publisher, distributor, etc. Wiley
Date of publication, distribution, etc. 2023
300 ## - PHYSICAL DESCRIPTION
Page number 361P
505 ## - FORMATTED CONTENTS NOTE
Title CHAPTER 1 PRELIMINARIES<br/>1.1 Sets and Functions<br/>1.2 Mathematical Induction<br/>1.3 Finite and Infinite Sets<br/>CHAPTER 2 THE REAL NUMBERS<br/>2.1 The Algebraic and Order Properties of R<br/>2.2 Absolute Value and the Real Line<br/>2.3 The Completeness Property of R<br/>2.4 Applications of the Supremum Property<br/>2.5 Intervals<br/>CHAPTER 3 REAL SEQUENCES<br/>3.1 Sequences and Their Limits<br/>3.2 Limit Theorems<br/>3.3 Monotone Sequences<br/>3.4 Subsequences and the Bolzano-Weierstrass Theorem<br/>3.5 The Cauchy Criterion<br/>3.6 Properly Divergent Sequences<br/>CHAPTER 4 INFINITE SERIES<br/>4.1 Introduction to Infinite Series<br/>4.2 Absolute Convergence<br/>4.3 Tests for Absolute Convergence<br/>4.4 Tests for Nonabsolute Convergence<br/>CHAPTER 5 LIMITS<br/>5.1 Limits of Functions<br/>5.2 Limit Theorems<br/>5.3 Some Extensions of the Limit Concept<br/>CHAPTER 6 CONTINUOUS FUNCTIONS<br/>6.1 Continuous Functions<br/>6.2 Combinations of Continuous Functions<br/>6.3 Continuous Functions on Intervals<br/>6.4 Uniform Continuity<br/>6.5 Continuity and Gauges<br/>6.6 Monotone and Inverse Functions<br/>CHAPTER 7 DIFFERENTIATION<br/>7.1 The Derivative<br/>7.2 The Mean Value Theorem<br/>7.3 L’Hospital’s Rules<br/>7.4 Taylor’s Theorem<br/>CHAPTER 8 THE RIEMANN INTEGRAL<br/>8.1 Riemann Integral<br/>8.2 Riemann Integrable Functions<br/>8.3 The Fundamental Theorem<br/>8.4 The Darboux Integral<br/>CHAPTER 9 SEQUENCES AND SERIES OF FUNCTIONS<br/>9.1 Pointwise and Uniform Convergence<br/>9.2 Interchange of Limits<br/>9.3 Series of Functions<br/>9.4 The Exponential and Logarithmic Functions<br/>9.5 The Trigonometric Functions<br/>CHAPTER 10 THE GENERALIZED RIEMANN INTEGRAL<br/>10.1 Definition and Main Properties<br/>10.2 Improper and Lebesgue Integrals<br/>10.3 Infinite Intervals<br/>10.4 Convergence Theorems<br/>CHAPTER 11 A GLIMPSE INTO TOPOLOGY<br/>11.1 Open and Closed Sets in R<br/>11.2 Compact Sets<br/>11.3 Continuous Functions<br/>11.4 Metric Spaces<br/>CHAPTER 12 FUNCTIONS OF SEVERAL REAL VARIABLES
520 ## - SUMMARY, ETC.
Summary, etc. Introduction to Real Analysis is a comprehensive textbook, suitable for undergraduate level students of pure and applied mathematics. Starting with the background of the notations for sets and functions and mathematical induction, the book focuses on real numbers and their properties, real sequences along with associated limit concepts, and infinite series. The book then explores the concepts of fundamental properties of limits and continuous functions, basic theory of derivatives and applications, including mean value theorem, chain rule, and inversion theorem.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical analysis Functions of real variables
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Source of classification or shelving scheme Dewey Decimal Classification
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    Dewey Decimal Classification     Non-fiction IIITDM Kurnool IIITDM Kurnool SCIENCES 31.07.2024 Narendra Publishing House 659.00 NPH/24-25/IN-00122 DT 22/7/2024   515.8 BAR 0005939 31.07.2024 659.00 31.07.2024 INR Books      
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    Dewey Decimal Classification     Non-fiction IIITDM Kurnool IIITDM Kurnool SCIENCES 31.07.2024 Narendra Publishing House 659.00 NPH/24-25/IN-00122 DT 22/7/2024   515.8 BAR 0005942 31.07.2024 659.00 31.07.2024 INR Books      
    Dewey Decimal Classification     Non-fiction IIITDM Kurnool IIITDM Kurnool SCIENCES 31.07.2024 Narendra Publishing House 659.00 NPH/24-25/IN-00122 DT 22/7/2024 1 515.8 BAR 0005943 25.10.2024 659.00 31.07.2024 INR Books 26.09.2024    
    Dewey Decimal Classification     Non-fiction IIITDM Kurnool IIITDM Kurnool SCIENCES 31.07.2024 Narendra Publishing House 659.00 NPH/24-25/IN-00122 DT 22/7/2024   515.8 BAR 0005944 31.07.2024 659.00 31.07.2024 INR Books      
    Dewey Decimal Classification     Non-fiction IIITDM Kurnool IIITDM Kurnool SCIENCES 31.07.2024 Narendra Publishing House 659.00 NPH/24-25/IN-00122 DT 22/7/2024   515.8 BAR 0005945 31.07.2024 659.00 31.07.2024 INR Books      
    Dewey Decimal Classification     Non-fiction IIITDM Kurnool IIITDM Kurnool SCIENCES 31.07.2024 Narendra Publishing House 659.00 NPH/24-25/IN-00122 DT 22/7/2024   515.8 BAR 0005946 31.07.2024 659.00 31.07.2024 INR Books      
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    Dewey Decimal Classification     Non-fiction IIITDM Kurnool IIITDM Kurnool SCIENCES 31.07.2024 Narendra Publishing House 659.00 NPH/24-25/IN-00122 DT 22/7/2024   515.8 BAR 0005950 31.07.2024 659.00 31.07.2024 INR Books      
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Library will remain closed on public holidays
Contact Us

Librarian
Central Libray
Indian Institute of Information Technology Design and Manufacturing Kurnool
Andhra Pradesh - 518 007

Library Email ID: library@iiitk.ac.in

Copyright @ Central Library | IIITDM Kurnool

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