Algebra and Galois Theories

4,097.00₹ 5,613.00₹

Buy Algebra and Galois Theories | FOREIGN BOOKS , A Social Legal Perspective

ABOUT THE BOOK

Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings.
This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.

TABLE OF CONTENTS

  1. Zorn’s Lemma

    • Adrien Douady, Régine Douady
    Pages 1-19
  2. Categories and Functors

    • Adrien Douady, Régine Douady
    Pages 21-70
  3. Linear Algebra

    • Adrien Douady, Régine Douady
    Pages 71-177
  4. Coverings

    • Adrien Douady, Régine Douady
    Pages 179-253
  5. Galois Theory

    • Adrien Douady, Régine Douady
    Pages 255-304
  6. Riemann Surfaces

    • Adrien Douady, Régine Douady
    Pages 305-405
  7. Dessins d’Enfants

    • Adrien Douady, Régine Douady
    Pages 407-447



Write a review

Please login or register to review