A Course in Calculus and Real Analysis
Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single‐variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic characterization, establishing f...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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Έκδοση: | 2nd ed. 2018. |
Σειρά: | Undergraduate Texts in Mathematics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 1. Numbers and Functions
- 2. Sequences
- 3. Continuity and Limits
- 4. Differentiation
- 5. Applications of Differentiation
- 6. Integration
- 7. Elementary Transcendental Functions
- 8. Applications and Approximations of Riemann Integrals
- 9. Infinite Series and Improper Integrals
- 10. Sequences and Series of Functions, Integrals Depending on a Parameter
- A. Construction of the Real Numbers
- B. Fundamental Theorem of Algebra
- References
- List of Symbols and Abbreviations
- Index.