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100   $a20191122d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aGeometric Multiplication of Vectors $eAn Introduction to Geometric Algebra in Physics /$fby Miroslav Josipovi?
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019.
215   $a1 online resource (258 pages) $cillustrations
225 1 $aCompact Textbooks in Mathematics,$x2296-4568
311 08$a9783030017552 
311 08$a3030017559 
320   $aIncludes bibliographical references.
327   $aBasic Concepts -- Euclidean 3D Geometric Algebra -- Applications -- Geometric Algebra and Matrices -- Appendix -- Solutions for Some Problems -- Problems -- Why Geometric Algebra? -- Formulae -- Literature -- References.
330   $aThis book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations. Why would one want to explore geometric algebra? What if there existed a universal mathematical language that allowed one: to make rotations in any dimension with simple formulas, to see spinors or the Pauli matrices and their products, to solve problems of the special theory of relativity in three-dimensional Euclidean space, to formulate quantum mechanics without the imaginary unit, to easily solve difficult problems of electromagnetism, to treat the Kepler problem with the formulas for a harmonic oscillator, to eliminate unintuitive matrices and tensors, to unite many branches of mathematical physics? What if it were possible to use that same framework to generalize the complex numbers or fractals to any dimension, to play with geometry on a computer, as well as to make calculations in robotics, ray-tracing and brain science? In addition, what if such a language provided a clear, geometric interpretation of mathematical objects, even for the imaginary unit in quantum mechanics? Such a mathematical language exists and it is called geometric algebra. High school students have the potential to explore it, and undergraduate students can master it. The universality, the clear geometric interpretation, the power of generalizations to any dimension, the new insights into known theories, and the possibility of computer implementations make geometric algebra a thrilling field to unearth.
410  0$aCompact Textbooks in Mathematics,$x2296-4568
606   $aMatrix theory
606   $aAlgebra
606   $aQuantum theory
606   $aComputer science?Mathematics
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080
606   $aMath Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17044
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aQuantum theory.
615  0$aComputer science?Mathematics.
615 14$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aQuantum Physics.
615 24$aMath Applications in Computer Science.
676   $a512.57
700   $aJosipovi?$b Miroslav$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781338
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910360848603321
996   $aGeometric Multiplication of Vectors$91732487
997   $aUNINA