Introduction to real analysis / (Record no. 3172)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03853cam a22003374a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-NbEJU |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240516114010.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240515s2011 njua grb 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2010045251 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780471433316 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0471433314 (hardback) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)ocn671573454 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Transcribing agency | EG-NbEJU |
| Modifying agency | EG-NbEJU |
| Language of cataloging | eng |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA300 |
| Item number | .B294 2011 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bartle , Robert Gardner , |
| Dates associated with a name | 1927 - |
| 245 10 - TITLE STATEMENT | |
| Title | Introduction to real analysis / |
| Statement of responsibility, etc. | Robert G. Bartle , Donald R. Sherbert |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Fourth Edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Hoboken , NJ : |
| Name of publisher, distributor, etc. | Wiley , |
| Date of publication, distribution, etc. | c2011 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii , 402 pages : |
| Other physical details | illustrations ; |
| Dimensions | 26 cm |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Ch. 1.Preliminaries: 1.1. Sets and functions; 1.2. Mathematical induction; 1.3. Finite and infinite sets -- Ch. 2. The Real Numbers: 2.1. The algebraic and order properties of R; 2.2. Absolute value and real line; 2.3. The completeness property of R; 2.4. Applications of the supremum property; 2.5. Intervals -- Ch. 3. Sequences and series: 3.1. Sequences and their limits; 3.2. Limit theorems; 3.3. Monotone sequences; 3.4. Subsequences and the Bolzano-Weierstrass theorem; 3.5. The Cauchy criterion; 3.6. Properly divergent sequences; 3.7. Introduction to infinite series -- Ch. 4. Limits: 4.1. Limits of functions; 4.2. Limit theorems; 4.3. Some extensions of the limit concept -- Ch. 5. Continuous functions: 5.1. Continuous runctions; 5.2 . Combinations of continuous runctions; 5.3. Continuous functions on intervals; 5.4. Uniform continuity; 5.5. Continuity and gauges; 5.6. Monotone and inverse functions -- Ch. 6. Differentiation: 6.1. The derivative; 6.2. The mean value theorem; 6.3. L'Hospital's rules; 6.4. Taylor's Theorem -- Ch. 7. The Riemann integral: 7.1. Riemann integral; 7.2. Riemann integrable functions; 7.3. The fundamental theorem; 7.4. The Darboux integral; 7.5. Approximate integration -- Ch. 8. Sequences of functions: 8.1. Pointwise and uniform convergence; 8.2. Interchange of limits; 8.3. The exponential and logarithmic functions; 8.4. The trigonometric functions -- Ch. 9. Infinite series: 9.1. Absolute convergence; 9.2. Tests for absolute convergence; 9.3. Tests for nonabsolute convergence; 9.4. Series of functions -- Ch. 10. The generalized Riemann integral: 10.1. Definition and main poperties; 10.2. Improper and Lebesgue integrals; 10.3. Infinite intervals; 10.4. Convergence theorems -- Ch. 11. A glimpse into topology: 11.1. Open and closed sets in R; 11.2 Compact sets; 11.3. Continuous functions; 11.4. Metrtic Spaces -- Appendix A. Logic and proofs -- Appendix B. Finite and countable sets -- Appendix C. The Riemann and Lebesgue criteria -- Appendix D. Approximate integration -- Appendix E. Two examples |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | "This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible"-- |
| Assigning source | Provided by publisher |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functions of real variables |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sherbert , Donald R. , |
| Dates associated with a name | 1935 - |
| 901 ## - Cataloger information | |
| Cataloger Name | Kholoud |
| 902 ## - PDF File name | |
| PDF File name | ENG_03_ (834) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Fayza Aboulnaga Central Library | مكتبة فايزة أبو النجا المركزية بالحرم الجامعي | Fayza Aboulnaga Central Library | مكتبة فايزة أبو النجا المركزية بالحرم الجامعي | 05/16/2024 | QA300 .B294 2011 | 10004040 | 05/16/2024 | C. 1 | 05/16/2024 | Books |