- I know this is good - as I actually understood much of it!
/Elementary Number Theory/ - Uspensky and Heaslet. McGraw-Hill 1939
1) Elementary Properties of Integers
2) Divisibility and Related Topics
3) Euclid's Algorithm. Diophantine Equations of the First Degree
4) On Prime Numbers
5) A General Combinatorial Theorem and its Applications
6) On the Congruence of Numbers
7) Congruences with One Unknown. Lagrange's Theorem and its Applications
8) Residues of Powers
9) Arithmetical Properties or Bernoullian Numbers
10) Quadratic Residues
11) Some Problems Connected with Quadratic Forms
12) Some Diophantine Problems
13) Louisville's Methods
This book is perfect for those who are numerate, and who desire a good
understanding of the fundamentals of what one might call "day to day"
number theory - the kinds of matters that raise themselves on this list
occasionally. It may be old, but that matters not, the pre-20th-century
French mathematicians basically stitched the whole subject up like a
kipper. (OK, a few Germans helped out too.) So if you ever see this book
gathering dust anywhere - buy it!
If you already have H&Ws, Shallits, Roses, Cohens, or C&Ps, and fully
understand them, then this will aim too low for you, but if you don't know
which books those brief words refer to then this is the book for you.
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