Galois Theory and Applications

Solved Exercises and Problems

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Galois Theory and Applications by Mohamed Ayad, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mohamed Ayad ISBN: 9789813238329
Publisher: World Scientific Publishing Company Publication: April 26, 2018
Imprint: WSPC Language: English
Author: Mohamed Ayad
ISBN: 9789813238329
Publisher: World Scientific Publishing Company
Publication: April 26, 2018
Imprint: WSPC
Language: English

The book provides exercises and problems with solutions in Galois Theory and its applications, which include finite fields, permutation polynomials, derivations and algebraic number theory.

It will be useful to the audience below:

  • Students who want to learn the material around the arithmetic of polynomials and field extensions.
  • Teachers who want to work on problems with their students.
  • Researchers who require a reference book. The book contains some useful results generally known by specialists, but for which a detailed proof is not always in the literature.

Contents:

  • Polynomials, Fields, Generalities
  • Algebraic Extention, Algebraic Closure
  • Separability, Inseparability
  • Normal Extensions
  • Galois Extensions, Galois Groups
  • Finite Fields
  • Permutation Polynomials
  • Transcendental Extensions, Linearly Disjoint Extensions, Luroth's Theorem
  • Multivariate Polynomials
  • Integral Elements, Algebraic Number Theory
  • Derivations

Readership: Undergraduate and graduate students in Galois group theory.
Key Features:

  • There is no competing book to the present one
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The book provides exercises and problems with solutions in Galois Theory and its applications, which include finite fields, permutation polynomials, derivations and algebraic number theory.

It will be useful to the audience below:

Contents:

Readership: Undergraduate and graduate students in Galois group theory.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Mind and Reality by Mohamed Ayad
Cover of the book Worldwide Casebook in Marketing Management by Mohamed Ayad
Cover of the book Lee Kuan Yew Through the Eyes of Chinese Scholars by Mohamed Ayad
Cover of the book Gulf Politics and Economics in a Changing World by Mohamed Ayad
Cover of the book Ebola by Mohamed Ayad
Cover of the book The New Silk Road: China Meets Europe in the Baltic Sea Region by Mohamed Ayad
Cover of the book Problems in Portfolio Theory and the Fundamentals of Financial Decision Making by Mohamed Ayad
Cover of the book Private Education in Singapore by Mohamed Ayad
Cover of the book Mighty Mira by Mohamed Ayad
Cover of the book The Global Development of Policy Regimes to Combat Climate Change by Mohamed Ayad
Cover of the book Digital Fonts and Reading by Mohamed Ayad
Cover of the book Léon Rosenfeld by Mohamed Ayad
Cover of the book What is Calculus? by Mohamed Ayad
Cover of the book A First Course in Integral Equations by Mohamed Ayad
Cover of the book Generalized Optomechanics and Its Applications by Mohamed Ayad
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy