The Art of Proof Basic Training for Deeper Mathematics /
The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on sol...
| Κύριοι συγγραφείς: | , |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York,
2010.
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| Σειρά: | Undergraduate Texts in Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- The Discrete
- Integers
- Natural Numbers and Induction
- Some Points of Logic
- Recursion
- Underlying Notions in Set Theory
- Equivalence Relations and Modular Arithmetic
- Arithmetic in Base Ten
- The Continuous
- Real Numbers
- Embedding Z in R
- Limits and Other Consequences of Completeness
- Rational and Irrational Numbers
- Decimal Expansions
- Cardinality
- Final Remarks
- Further Topics
- Continuity and Uniform Continuity
- Public-Key Cryptography
- Complex Numbers
- Groups and Graphs
- Generating Functions
- Cardinal Number and Ordinal Number
- Remarks on Euclidean Geometry.
