A straightforward explanation of the abstract principles common to science and mathematics, this helpful volume enables scientists and mathematicians to read and appreciate papers in fields different from their own. It also offers other readers an improved understanding of subjects employing mathematical principles. Topics include Euclid's algorithm; congruences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and p -adic numbers; groups; the Galois theory of equations; algebraic geometry; matrices and determinants; invariants and tensors; algebras; group algebras; and more. "Unreservedly recommended" — Journal of the Institute of Actuaries Students' Society. 1960 ed. (1949 pub.) "Clever and well-written, the book would make a worthwhile and inexpensive addition to any mathematics collection." — Book News, Inc.