A Guide to Elementary Number Theory [electronic resource] / Underwood Dudley.
"A Guide to Elementary Number Theory is a 140-page exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in nu...
Saved in:
| Online Access: |
Full Text (via ProQuest) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2012.
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| Series: | Dolciani mathematical expositions.
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| Subjects: |
MARC
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| 245 | 1 | 2 | |a A Guide to Elementary Number Theory |h [electronic resource] / |c Underwood Dudley. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
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| 490 | 1 | |a Dolciani Mathematical Expositions ; |v v. 41 | |
| 500 | |a Title from publishers bibliographic system (viewed on 30 Jan 2012). | ||
| 505 | 0 | |a Introduction -- Contents -- 1 Greatest CommonDivisors -- 2 Unique Factorization -- 3 Linear DiophantineEquations -- 4 Congruences -- 5 Linear Congruences -- 6 The Chinese Remainder Theorem -- 7 Fermat�s Theorem -- 8 Wilson�s Theorem -- 9 The Number of Divisors of an Integer -- 10 The Sum of the Divisors of an Integer -- 11 Amicable Numbers -- 12 Perfect Numbers -- 13 Euler�s Theorem and Function -- 14 Primitive Rootsand Orders -- 15 Decimals -- 16 Quadratic Congruences -- 17 Gauss�s Lemma | |
| 505 | 8 | |a 18 The Quadratic Reciprocity Theorem19 The Jacobi Symbol -- 20 Pythagorean Triangles -- 21 x^4 + y*4 not= z^4 -- 22 Sums of Two Squares -- 23 Sums of Three Squares -- 24 Sums of Four Squares -- 25 Waring�s Problem -- 26 Pell�s Equation -- 27 Continued Fractions -- 28 Multigrades -- 29 Carmichael Numbers -- 30 Sophie Germain Primes -- 31 The Group of Multiplicative Functions -- 32 Bounds for pi(x) -- 33 The Sum of the Reciprocals of the Primes -- 34 The Riemann Hypothesis -- 35 The Prime Number Theorem -- 36 The abc Conjecture | |
| 505 | 8 | |a 37 Factorization and Testing for Primes38 Algebraic and Transcendental Numbers -- 39 Unsolved Problems -- Index -- About the Author | |
| 520 | |a "A Guide to Elementary Number Theory is a 140-page exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in number theory and who want to see what it is about without having to wade through traditional texts, some of which approach 500 pages in length. It will be especially useful to graduate students preparing for qualifying exams. Though Plato did not quite say, "He is unworthy of the name of man who does not know which integers are the sums of two squares," he came close. This guide can make everyone more worthy"--Page 4 of cover. | ||
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| 776 | 0 | 8 | |i Print version: |a Dudley, Underwood. |t Guide to Elementary Number Theory. |d Washington : Mathematical Association of America, ©2014 |z 9780883853474 |
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