The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories - Brossura

Littlewood, Dudley Ernest

Brossura

ISBN 10: 0486425436 ISBN 13: 9780486425436

Casa editrice: Dover Pubns, 2002

Riassunto

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."

Su questo libro

Contenuti:

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

Product Description:

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.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2002
• ISBN 10: 0486425436
• ISBN 13: 9780486425436
• Rilegatura: Copertina flessibile
• Numero di pagine: 136