Introduction to real analysis / (Record no. 558658)
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| 000 -LEADER | |
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| fixed length control field | 03993cam a22003254a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000328857 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UG-KaMUL |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250613004020.0 |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2010-045251 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780471433316 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0471433314 (hardback) |
| 039 ## - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 202203091402 |
| Level of effort used to assign nonsubject heading access points | 958 |
| Level of effort used to assign subject headings | 202203091358 |
| Level of effort used to assign classification | 958 |
| Level of effort used to assign subject headings | 202203091354 |
| Level of effort used to assign classification | 958 |
| Level of effort used to assign subject headings | 202102101921 |
| Level of effort used to assign classification | 958 |
| -- | 201509211446 |
| -- | 959 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Transcribing agency | DLC |
| Modifying agency | YDX |
| -- | YDXCP |
| -- | BWX |
| -- | CUS |
| -- | CDX |
| -- | IUL |
| -- | DLC |
| -- | UG- KaMUL |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.8 |
| Edition information | 23 |
| 092 ## - LOCALLY ASSIGNED DEWEY CALL NUMBER (OCLC) | |
| Classification number | 515.8 BAR |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bartle, Robert Gardner, |
| Dates associated with a name | 1927- |
| 245 ## - TITLE STATEMENT | |
| Title | Introduction to real analysis / |
| Statement of responsibility, etc. | Robert G. Bartle, Donald R. Sherb ert. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 4th ed. |
| 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 p. : |
| Other physical details | ill. ; |
| Dimensions | 26 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Ch. 1.Preliminaries: 1.1. Sets and functions; 1.2. Mathematical indu ction; 1.3. Finite and infinite sets -- Ch. 2. The Real Numbers: 2.1. T he algebraic and order properties of R; 2.2. Absolute value and real li ne; 2.3. The completeness property of R; 2.4. Applications of the supr emum property; 2.5. Intervals -- Ch. 3. Sequences and series: 3.1. Sequ ences and their limits; 3.2. Limit theorems; 3.3. Monotone sequences; 3 .4. Subsequences and the Bolzano-Weierstrass theorem; 3.5. The Cauchy c riterion; 3.6. Properly divergent sequences; 3.7. Introduction to infin ite series -- Ch. 4. Limits: 4.1. Limits of functions; 4.2. Limit theor ems; 4.3. Some extensions of the limit concept -- Ch. 5. Continuous fun ctions: 5.1. Continuous runctions; 5.2 . Combinations of continuous run ctions; 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 unifor m convergence; 8.2. Interchange of limits; 8.3. The exponential and log arithmic 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 -- C h. 10. The generalized Riemann integral: 10.1. Definition and main pope rties; 10.2. Improper and Lebesgue integrals; 10.3. Infinite intervals; 10.4. Convergence theorems -- Ch. 11. A glimpse into topology: 11.1. O pen and closed sets in R; 11.2 Compact sets; 11.3. Continuous functions ; 11.4. Metrtic Spaces -- Appendix A. Logic and proofs -- Appendix B. F inite and countable sets -- Appendix C. The Riemann and Lebesgue criter ia -- 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 a bility to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition ma intains the same spirit and user-friendly approach with addition exampl es and expansion on Logical Operations and Set Theory. There is also co ntent revision in the following areas: introducing point-set topology b efore discussing continuity, including a more thorough discussion of li msup and limimf, covering series directly following sequences, adding c overage of Lebesgue Integral and the construction of the reals, and dra wing student attention to possible applications wherever possible"-- |
| Assigning source | Provided by publisher. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical analysis. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functions of real variables. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sherbert, Donald R., |
| Dates associated with a name | 1935- |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books - Open Access |
| 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 | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | College of Natural Sciences Library- CONAS | College of Natural Sciences Library- CONAS | 12/06/2025 | 515.8 BAR | 001403867 | 12/06/2025 | 12/06/2025 | Books - Open Access | |||||
| Dewey Decimal Classification | College of Natural Sciences Library- CONAS | College of Natural Sciences Library- CONAS | 12/06/2025 | 515.8 BAR | BB226959 | 12/06/2025 | 12/06/2025 | Books - Open Access | |||||
| Dewey Decimal Classification | College of Natural Sciences Library- CONAS | College of Natural Sciences Library- CONAS | 12/06/2025 | 515.8 BAR | 001403866 | 12/06/2025 | 12/06/2025 | Books - Open Access | |||||
| Dewey Decimal Classification | College of Natural Sciences Library- CONAS | College of Natural Sciences Library- CONAS | 12/06/2025 | 515.8 BAR | 001403868 | 12/06/2025 | 12/06/2025 | Books - Open Access |