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 Mathematical Music Theory by Mohamed Ayad
Cover of the book Optimal Investment and Marketing Strategies by Mohamed Ayad
Cover of the book Interaction of Mid-Infrared Parametric Waves in Laser Plasmas by Mohamed Ayad
Cover of the book Evidence-based Clinical Chinese Medicine by Mohamed Ayad
Cover of the book Introduction to General Relativity and Cosmology by Mohamed Ayad
Cover of the book Statistical Data Fusion by Mohamed Ayad
Cover of the book From Spinors to Quantum Mechanics by Mohamed Ayad
Cover of the book Understanding Voltammetry by Mohamed Ayad
Cover of the book Advanced Signal Processing on Brain Event-Related Potentials by Mohamed Ayad
Cover of the book Market Microstructure in Practice by Mohamed Ayad
Cover of the book Standards and Quality by Mohamed Ayad
Cover of the book Cyberterrorism by Mohamed Ayad
Cover of the book Ultrafast Dynamics in Molecules, Nanostructures and Interfaces by Mohamed Ayad
Cover of the book Small Firms as Innovators by Mohamed Ayad
Cover of the book Politics, Culture and Identities in East Asia 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