D. E. Littlewood

The Skeleton Key of Mathematics (eBook, ePUB)

A Simple Account of Complex Algebraic Theories

• Format: ePub

Produktbeschreibung

As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschews technical terms and omits troublesome details in favor of straightforward explanations that will allow scientists to read papers in branches of science other than their own, mathematicians to appreciate papers on topics on which they have no specialized knowledge, and other readers to cultivate an improved understanding of subjects employing mathematical principles. The broad scope of topics encompasses 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.
"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 the Institute of ActuariesStudents' Society about this volume, adding "Littlewood's book can be unreservedly recommended."

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 144
• Erscheinungstermin: 31. Dezember 2013
• Englisch
• ISBN-13: 9780486154411
• Artikelnr.: 40341198

Inhaltsangabe

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