Basic analysis. I : introduction to real analysis, volume I / by Jiří Lebl.
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TextPublisher: Jiří Lebl, Distributor: BCcampus, BC Open Textbook Project Edition: Version 5.3Description: 1 online resource (281 pages) : illustrationsOther title: Introduction to real analysis, volume I | Basic analysis one | Introduction to real analysis, volume oneSubject(s): Mathematical analysis | Functions of real variablesGenre/Form: Electronic books.LOC classification: QA300 | .L43 2020ebOnline resources: BC Open Textbook Project title homepage. | BC Open Textbook Project. | jirka.org HTML File. | Item type | Current library | Call number | URL | Status | Date due | Barcode | Item holds |
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eBook
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Digital Library
Resources in this library are accessible in digital format e.g. eBooks or eJournals accessible online. |
QA300 .L43 2020eb (Browse shelf(Opens below)) | Link to resource | Available |
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Includes bibliographical references and index.
Chapter 1. Real Numbers -- Chapter 2. Sequences and Series -- Chapter 3. Continuous Functions -- Chapter 4. The Derivative -- Chapter 5. The Riemann Integral -- Chapter 5. The Riemann Integral -- Chapter 6. Sequences of Functions -- Chapter 7. Metric Spaces.
"This is a course in undergraduate real analysis, also known as advanced calculus. The book works for both basic courses for students who do not necessarily wish to go to graduate school and also more advanced courses that prepare students for graduate study and cover topics such as metric spaces. A prerequisite for the course is a basic proof course. This book starts with analysis on the real line, going through sequences, series, and then into continuity, the derivative, and the Riemann integral using the Darboux approach. There are plenty of available detours along the way, or you can power through toward the metric spaces in chapter 7. The philosophy is that metric spaces are absorbed much better by the students after they have gotten comfortable with basic analysis techniques in the very concrete setting of the real line. As a bonus, the book can be used both by slower-paced, more concrete courses, as well as a faster-paced, more abstract courses for future graduate students"--BCcampus website.
Description based on online resource; title from pdf title page (viewed on July 27, 2020).
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