Compact Textbooks in Mathematics

Geometric Multiplication of Vectors

An Introduction to Geometric Algebra in Physics

Authors: Josipović, Miroslav

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  • 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 
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eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-030-01756-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 39,51 €
price for Spain (gross)
About this Textbook

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.


About the authors

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.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-030-01756-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 39,51 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Multiplication of Vectors
Book Subtitle
An Introduction to Geometric Algebra in Physics
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
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
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XXV, 241
Number of Illustrations
88 b/w illustrations, 1 illustrations in colour
Topics