Geometric Multiplication of Vectors: An Introduction to Geometric Algebra in Physics - Couverture souple

Livre 21 sur 32: Compact Textbooks in Mathematics

Josipović, Miroslav

 
9783030017552: Geometric Multiplication of Vectors: An Introduction to Geometric Algebra in Physics
Couverture souple
ISBN 10 : 3030017559 ISBN 13 : 9783030017552
Editeur : Birkhäuser, 2019

Synopsis

This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension with simple formulas, to see spinors or the Pauli matrices and their products, to solve problems of the special theory of relativity in three-dimensional Euclidean space, to formulate quantum mechanics without the imaginary unit, to easily solve difficult problems of electromagnetism, to treat the Kepler problem with the formulas for a harmonic oscillator, to eliminate unintuitive matrices and tensors, to unite many branches of mathematical physics? What if it were possible to use that same framework to generalize the complex numbers or fractals to any dimension, to play with geometry on a computer, as well as to make calculations in robotics, ray-tracing and brain science? In addition, what if such a language provided a clear, geometric interpretation of mathematical objects, even for the imaginary unit in quantum mechanics? Such a mathematical language exists and it is called geometric algebra. High school students have the potential to explore it, and undergraduate students can master it. The universality, the clear geometric interpretation, the power of generalizations to any dimension, the new insights into known theories, and the possibility of computer implementations make geometric algebra a thrilling field to unearth.


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À propos de l?auteur

Miroslav Josipovic is a Croatian physicist and musician with special interest in revising the language of mathematical physics and in creating new ways of teaching physics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser
Date d'édition
2019
Langue
anglais
ISBN 10 
3030017559
ISBN 13 
9783030017552
Reliure
Broché
Nombre de pages
272
Coordonnées du fabricant
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