The skeleton key of mathematics 数学的万能钥匙

As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschewstechnical terms and omits troublesome details in favor of straight-forward explanations that will allow scientists to read papers in branches of science other than their own, mathematicians to appre-ciate papers on topics on which they have no specialized knowledge,and other readers to cultivate an improved understanding of sub-jects employing mathematical principles.
The broad scope of topics encompasses Euclid's algorithm; congru-ences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and p-adic numbers; groups; the Galois theory of equations; algebraic geometry; matrices and determinants; invari-ants and tensors; algebras; group algebras; and more.
"It is refreshing to find a book which deals briefly but competently with a variety of concatenated algebraic topics, that is not written for the specialist," enthused the Journal of tile Institute of Actuaries Students'Society about this volume, adding "Littlewood's book can be
unreservedly recommended."
Dover (2002) unabridged republication of the edition published by Harper & Brothers, New York, 1960 (original publication 1949).Preface. Index. 5.75x8.5.138pp. Paperbound.

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