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 noncommutative 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
CONTENTS
Preface
List of Figures
Dependence among Chapters
Guide for the Reader
Notation and Terminology
I. Transition to modern number theory
II. Wedderburn–artin ring theory
III. Brauer group
IV. Homological algebra
V. Three theorems in algebraic number theory
VI. Reinterpretationwith adeles and ideles
VII. Infinite field extensions
VIII. Background for algebraic geometry
IX. The number theory of algebraic curves
X. Methods of algebraic geometry
XI. Methods of algebraic geometry (continued)
CONTENTS
Preface
List of Figures
Dependence among Chapters
Guide for the Reader
Notation and Terminology
I. Transition to modern number theory
II. Wedderburn–artin ring theory
III. Brauer group
IV. Homological algebra
V. Three theorems in algebraic number theory
VI. Reinterpretationwith adeles and ideles
VII. Infinite field extensions
VIII. Background for algebraic geometry
IX. The number theory of algebraic curves
X. Methods of algebraic geometry
XI. Methods of algebraic geometry (continued)
Páginas : 753
Peso : 5mb.
Formato : PDF.
Edición : Primera
Año de Publicación :2008
ISBN : 978-0-8176-4533-5
Editorial : Birkhäuser
Autor: Anthony W. Knapp
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