Lectures on real analysis
(eBook)
Uniform Title:
Author:
Series:
Published:
Cambridge ; New York : Cambridge University Press, 2012.
Format:
eBook
ISBN:
9781139519038, 1139519034, 9781139208604, 1139208608, 1283817926, 9781283817929, 9781139517171, 1139517171, 9781139515528, 1139515527, 1316090140, 9781316090145, 1139506358, 9781139506359, 1139514601, 9781139514606, 1139518100, 9781139518109
Physical Desc:
1 online resource (x, 117 pages)
Status:
Ebsco (CCU)
Description
"This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"--
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Citations
APA Citation (style guide)
Lárusson, F. (2012). Lectures on real analysis. Cambridge ; New York, Cambridge University Press.
Chicago / Turabian - Author Date Citation (style guide)Lárusson, Finnur, 1966-. 2012. Lectures On Real Analysis. Cambridge ; New York, Cambridge University Press.
Chicago / Turabian - Humanities Citation (style guide)Lárusson, Finnur, 1966-, Lectures On Real Analysis. Cambridge ; New York, Cambridge University Press, 2012.
MLA Citation (style guide)Lárusson, Finnur. Lectures On Real Analysis. Cambridge ; New York, Cambridge University Press, 2012.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
Notes
General Note
Includes index.
Description
"This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"--,Provided by publisher
Language
English.
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Grouped Work ID:
77821cd6-2a74-5c4b-5fc3-b0559e695dc5
Record Information
| Last File Modification Time | Apr 05, 2024 09:31:58 PM |
|---|---|
| Last Grouped Work Modification Time | Apr 05, 2024 09:12:39 PM |
MARC Record
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| 240 | 1 | 0 | |a Lectures.|k Selections |
| 245 | 1 | 0 | |a Lectures on real analysis /|c Finnur Lárusson, University of Adelaide. |
| 260 | |a Cambridge ;|a New York :|b Cambridge University Press,|c 2012. | ||
| 300 | |a 1 online resource (x, 117 pages) | ||
| 336 | |a text|b txt|2 rdacontent | ||
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| 490 | 1 | |a Australian Mathematical Society lecture series ;|v 21 | |
| 500 | |a Includes index. | ||
| 505 | 0 | |a Preface -- To the student -- 1. Numbers, sets, and functions -- 2. The real numbers -- 3. Sequences -- 4. Open, closed, and compact sets -- 5. Continuity -- 6. Differentiation -- 7. Integration -- 8. Sequences and series of functions -- 9. Metric spaces -- 10. The contraction principle. | |
| 520 | |a "This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis"--|c Provided by publisher | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
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