By Peter Hertel
Read or Download Arbeitsbuch Mathematik zur Physik (Springer-Lehrbuch) (German Edition) PDF
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The 3rd of 3 volumes on partial differential equations, this can be dedicated to nonlinear PDE. It treats a couple of equations of classical continuum mechanics, together with relativistic models, in addition to a variety of equations coming up in differential geometry, reminiscent of within the examine of minimum surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature.
In recent times, the Fourier research equipment have expereinced a becoming curiosity within the learn of partial differential equations. particularly, these thoughts in keeping with the Littlewood-Paley decomposition have proved to be very effective for the learn of evolution equations. the current e-book goals at featuring self-contained, kingdom- of- the- artwork types of these options with purposes to varied periods of partial differential equations: shipping, warmth, wave and Schrödinger equations.
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This quantity surveys the spectral houses of the spin Dirac operator. After a short advent to spin geometry, it offers the most recognized estimates for Dirac eigenvalues on compact manifolds without or with boundaries.
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Additional info for Arbeitsbuch Mathematik zur Physik (Springer-Lehrbuch) (German Edition)
Arbeitsbuch Mathematik zur Physik (Springer-Lehrbuch) (German Edition) by Peter Hertel