Lectures on Real Analysis
£42.99
Part of Australian Mathematical Society Lecture Series
- Author: Finnur Lárusson, University of Adelaide
- Date Published: June 2012
- availability: Available
- format: Paperback
- isbn: 9781107608528
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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.
Read more- Concise so that students can focus on essentials
- Over 200 exercises varying in difficulty
- Eases the transition to third-year courses on metric spaces and topology
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×Product details
- Date Published: June 2012
- format: Paperback
- isbn: 9781107608528
- length: 128 pages
- dimensions: 227 x 152 x 7 mm
- weight: 0.19kg
- contains: 200 exercises
- availability: Available
Table of Contents
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
Index.Instructors have used or reviewed this title for the following courses
- Vector Calculus I, Vector Calculus ll
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