Introduction to Mathematical Analysis I (Record no. 38507)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03228nam a2200445 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | OTLid0000243 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20241120064010.0 |
| 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 | 180907s2016 mnu o 0 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781365605529 |
| 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 | Lafferriere, Beatriz |
| Relator term | author |
| 245 00 - TITLE STATEMENT | |
| Title | Introduction to Mathematical Analysis I |
| Statement of responsibility, etc | Beatriz Lafferriere |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Second Edition |
| 264 #2 - | |
| -- | Minneapolis, MN |
| -- | Open Textbook Library |
| 264 #1 - | |
| -- | [Place of publication not identified] |
| -- | Portland State University Library |
| -- | [2016] |
| 264 #4 - | |
| -- | ©2016. |
| 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 Tools for Analysis -- 2 Sequences -- 3 Limits and Continuity -- 4 Differentiation -- 5 Solutions and Hints for Selected Exercises |
| 520 0# - SUMMARY, ETC. | |
| Summary, etc | Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs. The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds. The second edition includes a number of improvements based on recommendations from students and colleagues and on our own experience teaching the course over the last several years. In this edition we streamlined the narrative in several sections, added more proofs, many examples worked out in detail, and numerous new exercises. In all we added over 50 examples in the main text and 100 exercises (counting parts). |
| 542 1# - | |
| -- | Attribution-NonCommercial |
| 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 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lafferriere, Gerardo |
| Relator term | author |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nguyen, Mau Nam |
| Relator term | author |
| 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/243">https://open.umn.edu/opentextbooks/textbooks/243</a> |
| Public note | Access online version |
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