Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic numbers and their use in number theory. There follow chapters on algebraic number theory, diophantine equations and on the analysis of a p-adic variable. This book will appeal to undergraduates, and even amateurs, interested in number theory, as well as to graduate students.

Local fields (Algebra) --- 511.6 --- 511.6 Algebraic number fields --- Algebraic number fields --- Fields, Local (Algebra) --- Algebraic fields --- Local fields (Algebra).

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Algebraic number fields

Algebraic fields. --- Class field theory. --- Teoría de Números y Algebra Computacional (4104226) --- Bibliografía recomendada --- Algebraic number theory --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Rings (Algebra) --- Algebraic fields --- Class field theory --- 511.6 --- 511.6 Algebraic number fields --- Nombres, Théorie des --- Corps algébriques --- Number theory --- Nombres, Théorie des --- Corps algébriques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.

Number theory --- 511.6 --- Algebraic number fields --- Class field theory. --- 511.6 Algebraic number fields --- Algebraic number theory --- Complex analysis --- Mathematical potential theory --- Algebraic geometry --- Functions of several complex variables. --- Differential equations, Partial. --- Analytic functions. --- Sports administration --- Surfaces, Cubic --- 512.7 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- Surfaces, Cubic. --- Surfaces cubiques --- 517.55 --- 796.062 --- 796.062 Organisatie, management en marketing van sport en recreatie --- Organisatie, management en marketing van sport en recreatie --- Sports --- Management --- Organization and administration --- Géométrie algébrique --- Corps de classe