Essential Algebraic Number Theory

Name: Essential Algebraic Number Theory
Brand: World Scientific Publishing Company
SKU: 9789819825714
Price: 39484 HUF
Availability: InStock

Szerző: FESENKO IVAN

Nyelv:

Kötés: Kemény kötésű

Kiadó: World Scientific Publishing Company

Elérhetőség: Beszállítói készleten

Küldés 14-21 napon belül

39 484 Ft

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

Információk a könyvről

Szerző

FESENKO IVAN

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2026

oldal

280

EAN

9789819825714

ISBN

9819825717

Enbook ID

50261560

Kiadó

World Scientific Publishing Company

Súly

548

Teljes leírás

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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