Read Anywhere and on Any Device!

Special Offer | $0.00

Join Today And Start a 30-Day Free Trial and Get Exclusive Member Benefits to Access Millions Books for Free!

Create Free Account

Quick and Easy Sign Up!

It takes less then 1 minute to sign up, then you can enjoy Unlimited eBooks.

Sign Up Browse

Read Anywhere and on Any Device!

  • Download on iOS
  • Download on Android
  • Download on iOS

The Classical Fields

H. Salzmann
4.9/5 (23736 ratings)
Read Now Download Now ⏭ listen AudioBook
Description:The classical fields are the real, rational, complex and p-adic numbers. Each of these fields comprises several intimately interwoven algebraical and topological structures. This comprehensive volume analyzes the interaction and interdependencies of these different aspects. The real and rational numbers are examined additionally with respect to their orderings, and these fields are compared to their non-standard counterparts. Typical substructures and quotients, relevant automorphism groups and many counterexamples are described. Also discussed are completion procedures of chains and of ordered and topological groups, with applications to classical fields. The p-adic numbers are placed in the context of general topological fields: absolute values, valuations and the corresponding topologies are studied, and the classification of all locally compact fields and skew fields is presented. Exercises are provided with hints and solutions at the end of the book. An appendix reviews ordinals and cardinals, duality theory of locally compact Abelian groups and various constructions of fields.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Classical Fields. To get started finding The Classical Fields, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
419
Format
PDF, EPUB & Kindle Edition
Publisher
Cambridge University Press
Release
2014
ISBN
1299909221

The Classical Fields

H. Salzmann
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: The classical fields are the real, rational, complex and p-adic numbers. Each of these fields comprises several intimately interwoven algebraical and topological structures. This comprehensive volume analyzes the interaction and interdependencies of these different aspects. The real and rational numbers are examined additionally with respect to their orderings, and these fields are compared to their non-standard counterparts. Typical substructures and quotients, relevant automorphism groups and many counterexamples are described. Also discussed are completion procedures of chains and of ordered and topological groups, with applications to classical fields. The p-adic numbers are placed in the context of general topological fields: absolute values, valuations and the corresponding topologies are studied, and the classification of all locally compact fields and skew fields is presented. Exercises are provided with hints and solutions at the end of the book. An appendix reviews ordinals and cardinals, duality theory of locally compact Abelian groups and various constructions of fields.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Classical Fields. To get started finding The Classical Fields, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
419
Format
PDF, EPUB & Kindle Edition
Publisher
Cambridge University Press
Release
2014
ISBN
1299909221

More Books

The Classical Fields: Structural Features of the Real and Rational Numbers (Encyclopedia of Mathematics and its Applications) 1st edition by Salzmann, H., Grundhöfer, T., Hähl, H., Löwen (2007) Hardcover

The Classical Fields: Structural Features of the Real and Rational Numbers (Encyclopedia of Mathematics and its Applications) 1st edition by Salzmann, H., Grundhöfer, T., Hähl, H., Löwen (2007) Hardcover

4.4/5 (1,282,506 ratings)

Im Menschen muss alles herrlich sein

Im Menschen muss alles herrlich sein

4.2/5 (4,466 ratings)

The Classical Fields: Structural Features of the Real and Rational Numbers (Encyclopedia of Mathematics and its Applications) by H. Salzmann (2007-08-23)

The Classical Fields: Structural Features of the Real and Rational Numbers (Encyclopedia of Mathematics and its Applications) by H. Salzmann (2007-08-23)

4.1/5 (1,751 ratings)

Heart Without Measure: Gurdjieff Work with Madame de Salzmann

Heart Without Measure: Gurdjieff Work with Madame de Salzmann

4.5/5 (743 ratings)

Der Kampf um den Nordpol - Von den Anfängen bis 1882 - bk1008

Der Kampf um den Nordpol - Von den Anfängen bis 1882 - bk1008

4/5 (647 ratings)

Articles on Fourth Way, Including: George Gurdjieff, Katherine Mansfield, Idries Shah, All and Everything, Jeanne de Salzmann, P. D. Ouspensky, Thomas de Hartmann, Gurdjieff Movements, in Search of the Miraculous, Maurice Nicoll

Articles on Fourth Way, Including: George Gurdjieff, Katherine Mansfield, Idries Shah, All and Everything, Jeanne de Salzmann, P. D. Ouspensky, Thomas de Hartmann, Gurdjieff Movements, in Search of the Miraculous, Maurice Nicoll

4/5 (647 ratings)

Market to Explore: A history of public-private partnership in the

Market to Explore: A history of public-private partnership in the

4.7/5 (647 ratings)

A MARKET TO EXPLORE [A HISTORY OF TRADE BETWEEN AMERICA AND THE NETHERLANDS ]

A MARKET TO EXPLORE [A HISTORY OF TRADE BETWEEN AMERICA AND THE NETHERLANDS ]

4.6/5 (647 ratings)

Vierteljahresschrift für Praktische Pharmazie, 1907, Vol. 4 (Classic Reprint)

Vierteljahresschrift für Praktische Pharmazie, 1907, Vol. 4 (Classic Reprint)

4.9/5 (647 ratings)
loader