Discourses on Algebra
I wish that algebra would be the Cinderella ofour story. In the math ematics program in schools, geometry has often been the favorite daugh ter. The amount of geometric knowledge studied in schools is approx imately equal to the level achieved in ancient Greece and summarized by Euclid in his Ele...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Universitext
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Integers (Topic: Numbers)
- 1. ?2 Is Not Rational
- 2. The Irrationality of Other Square Roots
- 3. Decomposition into Prime Factors
- 2. Simplest Properties of Polynomials (Topic: Polynomials)
- 4. Roots and the Divisibility of Polynomials
- 5. Multiple Roots and the Derivative
- 6. Binomial Formula
- 3. Finite Sets (Topic: Sets)
- 7. Sets and Subsets
- 8. Combinatorics
- 9. Set Algebra
- 10. The Language of Probability
- 4. Prime Numbers (Topic: Numbers)
- 11. The Number of Prime Numbers is Infinite
- 12. Euler’s Proof That the Number of Prime Numbers is Infinite
- 13. Distribution of Prime Numbers
- 5. Real Numbers and Polynomials (Topic: Numbers and Polynomials)
- 14. Axioms of the Real Numbers
- 15. Limits and Infinite Sums
- 16. Representation of Real Numbers as Decimal Fractions
- 17. Real Roots of Polynomials
- 6. Infinite Sets (Topic: Sets)
- 18. Equipotence
- 19. Continuum
- 20. Thin Sets
- Supplement: Normal Numbers
- 7. Power Series (Topic: Polynomials)
- 21. Polynomialsas Generating Functions
- 22. Power Series
- 23. Partitio Numerorum
- Dates of Lives of Mathematicians Mentioned in the Text