Galois Theory Through Exercises

Galois Theory Through Exercises

Juliusz Brzeziński

47,74 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2018
ISBN:
9783319723273
47,74 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)

This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell’s proof of non-solvability by radicals of quintic equations, Tschirnhausen’s transformations, lunes of Hippocrates, and Galois’ resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.

Artículos relacionados

  • MATH DUDE’S QUICK AND DIRTY GUIDE T
    Jason Marshall
    ...
    Disponible

    20,74 €

  • Final Exam Review
    A. A. Frempong / AAFrempong
    Final Exam Review: Elementary Algebra covers the following: Signed Number and Real Number Operations; Order of Operations and Evaluation of Expressions; Exponential Notation and Rules of Exponents; Polynomial addition, subtraction, multiplication, and division; Solving First Degree Equations;Word Problems; Factoring Polynomials; Solving quadratic equations by factoring & applic...
    Disponible

    37,52 €

  • FUNCTION FIELD ARITHMETIC
    DINESH S THAKUR / THAKUR DINESH S
     This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of ...
  • Essays about Modern Algebra
    Franz Rothe
    The geometric construction of the regular 17, 257 and even the 65 537-gon are given in complete details, including programming codes. The theory of geometrical constructions and its connection to Galois theory is treated in detail. Later parts deal with totally positive real numbers as sums of squares, cyclotomic polynomials,Chebychev polynomials, Gaussian periods, Galois theor...
    Disponible

    33,84 €

  • ADVANCED LINEAR ALGEBRA
    CHANG SHOU-TE / SHOU-TE CHANG
    Certain essential concepts in linear algebra cannot be fully explained in a first course. This is due to a lack of algebraic background for most beginning students. On the other hand, these concepts are taken for granted in most of the mathematical courses at graduate school level. This book will provide a gentle guidance for motivated students to fill the gap. It is not easy t...
  • ADVANCED LINEAR ALGEBRA
    CHANG SHOU-TE / SHOU-TE CHANG
    Certain essential concepts in linear algebra cannot be fully explained in a first course. This is due to a lack of algebraic background for most beginning students. On the other hand, these concepts are taken for granted in most of the mathematical courses at graduate school level. This book will provide a gentle guidance for motivated students to fill the gap. It is not easy t...
    Disponible

    70,61 €

Otros libros del autor

  • Galois Theory Through Exercises
    Juliusz Brzeziński
    This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell’s proof of n...
    Disponible

    45,28 €