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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書籍の購入

イーブック ¥4,267
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-01756-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
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ソフトカバー ¥5,334
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-01755-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
この教本について

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.


著者について

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 (6 chapters)

Table of contents (6 chapters)

書籍の購入

イーブック ¥4,267
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-01756-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ソフトカバー ¥5,334
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-01755-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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書誌情報

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
イーブック ISBN
978-3-030-01756-9
DOI
10.1007/978-3-030-01756-9
ソフトカバー ISBN
978-3-030-01755-2
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XXV, 241
Number of Illustrations
1 b/w illustrations, 88 illustrations in colour
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.