Amazon cover image
Image from Amazon.com
Image from Google Jackets

Advanced Algebra : Along with a companion volume Basic Algebra

By: Material type: TextTextLanguage: English Series: CornerstonesPublication details: New York Birkhäuser 2007Description: xxiv, 730pISBN:
  • 9780817645229 (PB)
Subject(s):
Contents:
1. TRANSITION TO MODERN NUMBER THEORY 2. WEDDERBURN-ARTIN RING THEORY 3. BRAUER GROUP 4. HOMOLOGICAL ALGEBRA 5. REINTERPRETATION WITH ADELES AND IDELES 6. INFINITE FIELD EXTENSIONS 7. BACKGROUND FOR ALGEBRAIC GEOMETRY 8. THE NUMBER THEORY OF ALGEBRAIC CURVES 9. METHODS OF ALGEBRAIC GEOMETRY
Summary: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and non commutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Item type: BOOKS List(s) this item appears in: New Arrivals (01 August 2024)
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Home library Call number Materials specified Status Date due Barcode
IMSc Library 512 KNA (Browse shelf(Opens below)) Available 78071
IMSc Library 512 KNA (Browse shelf(Opens below)) Available 60444

Includes Index

1. TRANSITION TO MODERN NUMBER THEORY
2. WEDDERBURN-ARTIN RING THEORY
3. BRAUER GROUP
4. HOMOLOGICAL ALGEBRA
5. REINTERPRETATION WITH ADELES AND IDELES
6. INFINITE FIELD EXTENSIONS
7. BACKGROUND FOR ALGEBRAIC GEOMETRY
8. THE NUMBER THEORY OF ALGEBRAIC CURVES
9. METHODS OF ALGEBRAIC GEOMETRY

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and non commutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India