A Primer of Real Analysis (Record no. 38706)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02785nam a2200397 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | OTLid0000463 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20241120064014.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m o d s |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180907s2009 mnu o 0 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MnU |
| Language of cataloging | eng |
| Transcribing agency | MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA37.3 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA299.6-433 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sloughter, Dan |
| Relator term | author |
| 245 02 - TITLE STATEMENT | |
| Title | A Primer of Real Analysis |
| Statement of responsibility, etc | Dan Sloughter |
| 264 #2 - | |
| -- | Minneapolis, MN |
| -- | Open Textbook Library |
| 264 #1 - | |
| -- | Greenville, South Carolina |
| -- | Dan Sloughter |
| -- | [2009] |
| 264 #4 - | |
| -- | ©2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 490 0# - SERIES STATEMENT | |
| Series statement | Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Fundamentals -- 1.1 Sets and relations -- 1.2 Functions -- 1.3 Rational numbers -- 1.4 Real Numbers -- 2 Sequences and Series -- 2.1 Sequences -- 2.2 Infinite series -- 3 Cardinality -- 3.1 Binary representations -- 3.2 Countable and uncountable sets -- 3.3 Power sets -- 4 Topology of the Real Line -- 4.1 Intervals -- 4.2 Open sets -- 4.3 Closed sets -- 4.4 Compact Sets -- 5 Limits and Continuity -- 5.1 Limits -- 5.2 Monotonic functions -- 5.3 Limits to infinity and infinite limits -- 5.4 Continuous Functions -- 6 Derivatives -- 6.1 Best linear approximations -- 6.2 Derivatives -- 6.3 Mean Value Theorem -- 6.4 Discontinuities of derivatives -- 6.5 l'Hˆopital's rule -- 6.6 Taylor's Theorem -- 7 Integrals -- 7.1 Upper and lower integrals -- 7.2 Integrals -- 7.3 Integrability conditions -- 7.4 Properties of integrals -- 7.5 The Fundamental Theorem of Calculus -- 7.6 Taylor's theorem revisited -- 7.7 An improper integral -- 8 More Functions -- 8.1 The arctangent function -- 8.2 The tangent function -- 8.3 The sine and cosine Functions -- 8.4 The logarithm function -- 8.5 The exponential function -- Index |
| 520 0# - SUMMARY, ETC. | |
| Summary, etc | This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers. |
| 542 1# - | |
| -- | Attribution-NonCommercial-ShareAlike |
| 546 ## - LANGUAGE NOTE | |
| Language note | In English. |
| 588 0# - | |
| -- | Description based on online resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| Form subdivision | Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Applied mathematics |
| Form subdivision | Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis |
| Form subdivision | Textbooks |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Open Textbook Library |
| Relator term | distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://open.umn.edu/opentextbooks/textbooks/463">https://open.umn.edu/opentextbooks/textbooks/463</a> |
| Public note | Access online version |
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