Lectures on Three-Dimensional Elasticity
by P. G. Ciarlet
Publisher: Tata Institute of Fundamental Research 1983
Number of pages: 135
In this book a non-linear system of partial differential equations will be established as a mathematical model of elasticity. An energy functional will be established and it will be seen that the equations of equilibrium can be obtained as the Euler equations starting from the energy functional. Existence results will be studied.
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by Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
by Marios Tsatsos - arXiv
The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can give rise to new descriptions of quantum physics.
by C.L. Siegel - Tata Institute of Fundamental Research
From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).
by Young Suh Kim (ed.) - MDPI AG
With a degree of exaggeration, modern physics is the physics of harmonic oscillators and two-by-two matrices. Indeed, they constitute the basic language for the symmetry problems in physics, and thus the main theme of this journal.