| Description |
1 online resource : illustrations. |
| Current Frequency |
Updated irregularly. |
| Description |
data file rda |
| Series |
Open textbook library |
|
Open Textbook Library.
|
| Note |
"MTH 311. Introduction to Mathematical Analysis"--Cover. |
|
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
| Bibliography |
Includes bibliographical references. |
| Summary |
"Our goal in this set of lecture notes 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."--Open Textbook Library. |
| System Details |
Mode of access: World Wide Web. |
| Note |
This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license. |
|
Online version, 2015; title from PDF (viewed on July 20, 2016). |
| Contents |
Tools for Analysis -- Sequences -- Limits and Continuity -- Differentiation -- Solutions and Hints for Selected Exercises. |
| Local Note |
Promoted: Local to Global Cooperative Open Textbook Library |
| Subject |
Mathematical analysis -- Foundations.
|
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Mathematical analysis -- Problems, exercises, etc.
|
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Mathematical analysis. (OCoLC)fst01012068
|
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Mathematical analysis -- Foundations.
(OCoLC)fst01012071
|
| Genre/Form |
Textbooks. (OCoLC)fst01423863
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Problems and exercises. (OCoLC)fst01423783
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Textbooks.
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| Added Author |
Lafferriere, Gerardo, creator.
|
|
Nguyen, Mau Nam, creator.
|
| ISBN |
9781312742840 |
|
1312742844 |
|
