The Skeleton Key of Mathematics

A Simple Account of Complex Algebraic Theories

Dudley E. Littlewood

138 pages, parution le 03/03/2003

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Résumé

"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. Littlewood's book can be unreservedly recommended," enthused the Journal of the Institute of Actuaries Students' Society about this volume. Indeed, the author refrains from the use of technical terms, offering a straightforward explanation of the abstract principles common to science and mathematics.

With this helpful volume, scientists can read papers in branches of science other than their own, mathematicians can appreciate papers on topics on which they have no specialized knowledge, and other readers can cultivate an improved understanding of subjects employing mathematical principles.

Contents

The Method of Abstraction
Numbers
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
The Symmetric Group
Continuous Groups
Application to Invariants

Caractéristiques techniques

	PAPIER
Éditeur(s)	Dover
Auteur(s)	Dudley E. Littlewood
Parution	03/03/2003
Nb. de pages	138
Format	13,5 x 21,5
Couverture	Broché
Poids	158g
Intérieur	Noir et Blanc
EAN13	9780486425436
ISBN13	978-0-486-42543-6