Geometric multiplication of vectors : an introduction to geometric algebra in physics / Miroslav Josipović.
Josipović, Miroslav, author.
2019
QC20.7.C55
Available Online

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Title Geometric multiplication of vectors : an introduction to geometric algebra in physics / Miroslav Josipović.
Author Josipović, Miroslav, author.
ISBN 9783030017569 (electronic book)
3030017567 (electronic book)
3030017559
9783030017552
DOI https://doi.org/10.1007/978-3-030-01
Published Cham, Switzerland : Birkhäuser, [2019]
Language English
Description 1 online resource (xxv, 241 pages) : illustrations.
Item Number 10.1007/978-3-030-01 doi
Call Number QC20.7.C55
Dewey Decimal Classification 512.57
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed December 4, 2019).
Series Compact textbooks in mathematics.
Available in Other Form Geometric Multiplication of Vectors : An Introduction to Geometric Algebra in Physics
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Basic Concepts
Euclidean 3D Geometric Algebra
Applications
Geometric Algebra and Matrices
Appendix
Solutions for Some Problems
Problems
Why Geometric Algebra?
Formulae
Literature
References.

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