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. Topics include Euclid's algorithm; congruences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and "p"-adic numbers and more. 1960 edition.
Preface
Chapter
I The Method of Abstraction
II Numbers
III Euclid's Algorithm
IV Congruences
V Polynomials
VI Complex Numbers and Algebraic Fields
VII "Algebraic Integers, Ideals and p-adic Numbers"
VIII Groups
IX The Galois Theory of Equations
X Algebraic Geometry
XI Matrices and Determinants
XII Invariants and Tensors
XIII Algebras
XIV Group Algebras
XV The Symmetric Group
XVI Continuous Groups
XVII Application to Invariants
Index