GEOMETRY OF THE OCTONIONS, THE

GEOMETRY OF THE OCTONIONS, THE

The Geometry of the Octonions

Corinne A Manogue / DRAY TEVIAN / Tevian Dray / TEVIAN DRAY & CORINNE A MANOGUE

51,23 €
IVA incluido
Disponible
Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2015
ISBN:
9789811218187
51,23 €
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)
Sobre IBD

There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics including the remarkable fact that classical supersymmetry only exists in particular spacetime dimensions.

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

  • GEOMETRY OF THE OCTONIONS, THE
    Corinne A Manogue / DRAY TEVIAN / Tevian Dray / TEVIAN DRAY & CORINNE A MANOGUE
    There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on th...