Essential Algebraic Number Theory

Name: Essential Algebraic Number Theory
Brand: World Scientific Publishing Company
SKU: 9789819825714
Price: 95.94 EUR
Availability: InStock

Autor: FESENKO IVAN

Jazyk:

Väzba: Pevná

Vydavateľ: World Scientific Publishing Company

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95.94 €

This book provides a clear and accessible introduction to modern algebraic number theory, with a spe...

Informácie o knihe

Autor

FESENKO IVAN

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2026

Stránok

280

EAN

9789819825714

ISBN

9819825717

Enbook ID

50261560

Vydavateľ

World Scientific Publishing Company

Hmotnosť

548

Kompletný popis

This book provides a clear and accessible introduction to modern algebraic number theory, with a special emphasis on class field theory. Drawing from courses and lectures delivered in seven countries, the text balances simplicity with depth, making advanced topics approachable with minimal reliance on heavy algebraic or analytic machinery.

The book is structured into these distinct chapters; each tailored to a different stage of mathematical training:

Chapter 1 introduces algebraic number fields, progressing at a steady pace with numerous examples - ideal for advanced undergraduates;
Chapter 2 explores complete discrete valuation fields (local fields), a vital area of local algebraic number theory often underrepresented in standard textbooks but crucial in modern research;
Chapter 3 develops abstract class field theory and its applications to both local and global fields, using Neukirch's axiomatic approach to derive fundamental theorems. Extensions to recent developments and generalizations are also discussed.

The final chapter gathers a substantial collection of exercises, designed to test comprehension and guide further exploration. By offering the simplest known pathway to class field theory, this book fills a significant gap left by classic references published decades ago.

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Essential Algebraic Number Theory

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