Compact Textbooks in Mathematics

Geometric Multiplication of Vectors

An Introduction to Geometric Algebra in Physics

Autoren: Josipović, Miroslav

Vorschau
  • An excellent starting point for beginners in the field
  • An advanced high school student can learn basic concepts from the book
  • Gradual introduction of concepts with many figures and solved examples 
Weitere Vorteile

Dieses Buch kaufen

eBook 16,04 €
32,09 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
  • ISBN 978-3-030-01756-9
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 21,39 €
40,65 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
Über dieses Lehrbuch

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.


Über die Autor*innen

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

Inhaltsverzeichnis (7 Kapitel)

Inhaltsverzeichnis (7 Kapitel)
  • Basic Concepts

    Seiten 1-74

    Josipović, Miroslav

  • Euclidean 3D Geometric Algebra (Cl3)

    Seiten 75-119

    Josipović, Miroslav

  • Applications

    Seiten 121-139

    Josipović, Miroslav

  • Geometric Algebra and Matrices

    Seiten 141-160

    Josipović, Miroslav

  • Appendix

    Seiten 161-188

    Josipović, Miroslav

Dieses Buch kaufen

eBook 16,04 €
32,09 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
  • ISBN 978-3-030-01756-9
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 21,39 €
40,65 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
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Bibliografische Information

Bibliographic Information
Buchtitel
Geometric Multiplication of Vectors
Buchuntertitel
An Introduction to Geometric Algebra in Physics
Autoren
Titel der Buchreihe
Compact Textbooks in Mathematics
Copyright
2019
Verlag
Birkhäuser Basel
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-030-01756-9
DOI
10.1007/978-3-030-01756-9
Softcover ISBN
978-3-030-01755-2
Buchreihen ISSN
2296-4568
Auflage
1
Seitenzahl
XXV, 241
Anzahl der Bilder
88 schwarz-weiß Abbildungen, 1 Abbildungen in Farbe
Themen