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The Queen of Mathematics - An Introduction to Number Theory (Paperback, Softcover reprint of the original 1st ed. 1995)
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The Queen of Mathematics - An Introduction to Number Theory (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Texts in the Mathematical Sciences, 8
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Like other introductions to number theory, this one includes the
usual curtsy to divisibility theory, the bow to congruence, and the
little chat with quadratic reciprocity. It also includes proofs of
results such as Lagrange's Four Square Theorem, the theorem behind
Lucas's test for perfect numbers, the theorem that a regular n-gon
is constructible just in case phi(n) is a power of 2, the fact that
the circle cannot be squared, Dirichlet's theorem on primes in
arithmetic progressions, the Prime Number Theorem, and Rademacher's
partition theorem. We have made the proofs of these theorems as
elementary as possible. Unique to The Queen of Mathematics are its
presentations of the topic of palindromic simple continued
fractions, an elementary solution of Lucas's square pyramid
problem, Baker's solution for simultaneous Fermat equations, an
elementary proof of Fermat's polygonal number conjecture, and the
Lambek-Moser-Wild theorem.
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