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000917374 019__ $$a1129193402$$a1129404211
000917374 020__ $$a9783030017569$$q(electronic book)
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000917374 0247_ $$a10.1007/978-3-030-01$$2doi
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000917374 08204 $$a512.57$$223
000917374 1001_ $$aJosipović, Miroslav,$$eauthor.
000917374 24510 $$aGeometric multiplication of vectors :$$ban introduction to geometric algebra in physics /$$cMiroslav Josipović.
000917374 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c[2019]
000917374 300__ $$a1 online resource (xxv, 241 pages) :$$billustrations.
000917374 336__ $$atext$$btxt$$2rdacontent
000917374 337__ $$acomputer$$bc$$2rdamedia
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000917374 4901_ $$aCompact textbooks in mathematics,$$x2296-455X
000917374 504__ $$aIncludes bibliographical references.
000917374 5050_ $$aBasic Concepts -- Euclidean 3D Geometric Algebra -- Applications -- Geometric Algebra and Matrices -- Appendix -- Solutions for Some Problems -- Problems -- Why Geometric Algebra? -- Formulae -- Literature -- References.
000917374 506__ $$aAccess limited to authorized users.
000917374 520__ $$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.
000917374 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 4, 2019).
000917374 650_0 $$aClifford algebras.
000917374 650_0 $$aMathematical physics.
000917374 77608 $$iPrint version:$$aJosipović, Miroslav$$tGeometric Multiplication of Vectors : An Introduction to Geometric Algebra in Physics$$dCham : Springer International Publishing AG,c2019$$z9783030017552
000917374 830_0 $$aCompact textbooks in mathematics.
000917374 852__ $$bebk
000917374 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-01756-9$$zOnline Access$$91397441.1
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