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Algebra and Galois Theories

Authors: Douady, Regine, Douady, Adrien

  • This book aims to transfer geometric intuition to the algebraic framework of Galois theory 
  • Gives a parallel presentation of Galois theory and the theory of covering spaces and highlights this similarity between the two
  • Useful both for undergraduates and graduates, as well as to any researcher wishing to go beyond a purely algebraic approach to Galois theory
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Buy this book

eBook $64.99
price for Mexico (gross)
  • The eBook version of this title will be available soon
  • Due: 30 de junio de 2020
  • ISBN 978-3-030-32796-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $84.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 2 de junio de 2020
  • ISBN 978-3-030-32795-8
  • Free shipping for individuals worldwide
About this Textbook

Galois theory has such close analogies with the theory of coatings that algebraists use a geometric language to speak of body extensions, while topologists speak of "Galois coatings". This book endeavors to develop these theories in a parallel way, starting with that of coatings, 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 the Galois theory the geometric intuition that one can have in the context of the coatings.

This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.

About the authors

Adrien DOUADY was born in 1935. After receiving his Ph.d. in mathematics in the field of complex analytic geometry, he later joined the University Paris-Sud (Orsay). A recipient of the Ampere prize, he was a member of the French Academy of Sciences, as well as of the highly influential informal Bourbaki group. Throughout his life, he remained interested in several areas. Yet his odyssey always brought back to complex numbers. He passed away in 2006, and is notably survived by his wife, Regine Douady. 
Regine Douady, born in 1934,  after a Ph.d. in the didactics of mathematics, she became a lecturer at the University Paris Denis-Diderot, as well as the head of the IREM (Institut de Recherche sur l' Enseignement des Mathematiques). She was made a chevalier dans l'ordre des palmes academiques. Now retired, she has ceaselessly endeavoured to introduce into teaching the necessity to address concepts from different standpoints-the motivating idea behind this book.

Buy this book

eBook $64.99
price for Mexico (gross)
  • The eBook version of this title will be available soon
  • Due: 30 de junio de 2020
  • ISBN 978-3-030-32796-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $84.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 2 de junio de 2020
  • ISBN 978-3-030-32795-8
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Algebra and Galois Theories
Authors
Translated by
Ray, U.
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-32796-5
DOI
10.1007/978-3-030-32796-5
Hardcover ISBN
978-3-030-32795-8
Edition Number
1
Number of Pages
X, 470
Topics