Topological Galois Theory

Topological Galois Theory

Askold Khovanskii / Valentina Kiritchenko / Vladlen Timorin

156,99 €
IVA incluido
Consulta disponibilidad
Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Cálculo y análisis matemático
ISBN:
9783642388705

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 book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard-Vessiot theory, and Liouville’s results on the class of functions representable by quadratures are also discussed. A unique feature of this book is that recent results are presented in the same elementary manner as classical Galois theory, which will make the book useful and interesting to readers with varied backgrounds in mathematics, from undergraduate students to researchers.In this English-language edition, extra material has been added (Appendices A-D), the last two of which were written jointly with Yura Burda.

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

  • Topological Galois Theory
    Askold Khovanskii / Valentina Kiritchenko / Vladlen Timorin
    This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, ...
    Disponible

    158,34 €

  • Galois Theory, Coverings, and Riemann Surfaces
    Askold Khovanskii / Valentina Kiritchenko / Vladlen Timorin
    The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains ...