A guide to elementary number theory / Underwood Dudley [E-Book]
"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...
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Personal Name(s): | Dudley, Underwood. |
Imprint: |
[Washington, D.C.] :
Mathematical Association of America,
c2009
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Physical Description: |
x, 141 pages : illustrations |
Note: |
englisch |
Series Title: |
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Subject (LOC): |
- Greatest common divisors
- Unique factorization
- Linear Diophantine equations
- Congruences
- Linear congruences
- The Chinese remainder theorem
- Fermat's theorem
- Wilson's theorem
- The number of divisors of an integer
- The sum of the divisors of an integer
- Amicable numbers
- Perfect numbers
- Euler's theorem and function
- Primitive roots and orders
- Decimals
- Quadratic congruences
- Gauss's lemma
- The quadratic reciprocity theorem
- The Jacobi symbol
- Pythagorean triangles
- x⁴ + y⁴ [not equal] z⁴
- Sums of two squares
- Sums of three squares
- Sums of four squares
- Waring's problem
- Pell's equation
- Continued fractions
- Multigrades
- Carmichael numbers
- Sophie Germain primes
- The group of multiplicative functions
- Bounds for [pi](x)
- The sum of the reciprocals of the primes
- The Riemann hypothesis
- The prime number theorem
- The abc conjecture
- Factorization and testing for primes
- Algebraic and transcendental numbers
- Unsolved problems.