Elementary Analysis: The Theory of Calculus /
Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, num...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1980.
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| Series: | Undergraduate texts in mathematics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 264 pages) |
| ISBN: | 9781475739718 (electronic bk.) 1475739710 (electronic bk.) |
| ISSN: | 0172-6056 |