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.
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
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
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