Tensor analysis and elementary differential geometry for physicists and engineers

DOI10.1007/978-3-662-48497-5zbMath1369.53002OpenAlexW4299590120MaRDI QIDQ2374268

Hung Nguyen-Schäfer, Jan-Philip Schmidt

Publication date: 14 December 2016

Published in: Mathematical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-48497-5

zbMATH Keywords

curltensorRiemannian metricobservablesecond fundamental formKlein-Gordon equationMaxwell equationsGauss-Bonnet theoremSchrödinger equationKilling vector fieldgradientEinstein equationNavier-Stokes equationRicci tensorcontinuum mechanicsSchwarzschild solutionquantum mechanicsDirac equationdivergencecomputational fluid dynamicsLaplacianRiemannian curvatureLie derivativeLevi-Civita connectioncomposite systemdifferential formwave-particle dualityHeisenberg uncertainty principleChristoffel symbolCompton effectPauli matrixfirst fundamental formbraket

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Applications of differential geometry to physics (53Z05) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01)

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Differential Geometry of Surfaces with Application to Shell Structures ⋮ An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature

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