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Book Freeshipping Algebraic Number Theory, By Jurgen Neukirch, English, Hardcover, 2007

Posted at: Offers to Sell and Export | Posted on: Fri 21 May, 2010 9:04 am | Product Category: Algebra or pre algebra reference guides [21]
book freeshipping algebraic theory jurgen neukirch english hardcover 2007
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Algebraic Number Theory, by Jurgen Neukirch, English, Hardcover, 2007

Product Details

Author Jurgen


Press Science Press

Isbn 9787030182890

Publication Date Jan 2007

Pages 571

Size 16K

Edition First

Cover Hardcover

Language Hardcover

Page material gelatine plate paper

Product Description:

Science Press imported 23 books about math from Springer Press for the purpose of building a better academia; this one is one of them.


Chapter Ⅰ:Algebraic Integers

 1. The Gaussian Integers

 2. Integrality

 3. Ideals

 4. Lattices

 5. Minkowski Theory

 6. The Class Number

 7. Dirichlet's Unit Theorem

 8. Extensions of Dedekind Domains

 9. Hilbert's Ramification Theory

 10. Cyclotomic Fields

 11. Localization

 12. Orders

 13. One-dimensional Schemes

 14. Function Fields

Chapter Ⅱ:The Theory of Valuations

 1. The p-adic Numbers

 2. The p-adic Absolute Value

 3. Valuations

 4. Completions

 5. Local Fields

 6. Henselian Fields

 7. Unramified and Tamely Ramified Extensions

 8. Extensions of Valuations

 9. Galois Theory of Valuations

 10. Higher Ramification Groups

Chapter Ⅲ:Riemann-Roeh Theory

 1. Primes

 2. Different and Discriminant

 3. Riemann-Roch

 4. Metrized o-Modules

 5. Grothendieck Groups

 6. The Chern Character

 7. Grothendieck-Riemann-Roch

 8. The Euler-Minkow.ski Characteristic

Chapter Ⅳ:Abstract Class Field Theory

 1. Infinite Galois Theory

 2. Projective and Inductive Limits

 3. Abstract Galois Theory

 4. Abstract Valuation Theory

 5. The Reciprocity Map

 6. The General Reciprocity Law

 7. The Herbrand Quotient

Chapter Ⅴ:Local Class Field Theory

 1. The Local Reciprocity Law

 2. The Norm Residue Symbol over Q(p)

 3. The Hilbert Symbol

 4. Formal Groups

 5. Generalized Cyclotomic Theory

 6. Higher Ramification Groups

Chapter Ⅵ:Global Class Field Theory

 1. Idèles and Idèle Classes

 2. Idèles in Field Extensions

 3. The Herbrand Quotient of the Idèle Class Group

 4. The Class Field Axiom

 5. The Global Reciprocity Law

 6. Global Class Fields

 7. The Ideal-Theoretic Version of Class Field Theory

 8. The Reciprocity Law of the Power Residues

Chapter Ⅶ:Zeta Functions and L-series

 1. The Riemann Zeta Function

 2. Dirichlet L-series

 3. Theta Series

 4. The Higher-dimensional Gamma Function

 5. The Dedekind Zeta Function

 6. Hecke Characters

 7. Theta Series of Algebraic Number Fields

 8. Hecke L-series

 9. Values of Dirichlet L-series at Integer Points

 10. Artin L-series

 11. The Artin Conductor

 12. The Functional Equation of Artin L-series

 13. Density Theorems



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