Geometric mechanics on Riemannian manifolds : applications to partial differential equations
β Scribed by Ovidiu Calin; Der-Chen Chang
- Publisher
- BirkhaΜuser
- Year
- 2005
- Tongue
- English
- Leaves
- 282
- Series
- Applied and numerical harmonic analysis
- Category
- Library
No coin nor oath required. For personal study only.
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Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, SchrΓΆdinger's, E
2015. - 187p.<div class="bb-sep"></div>This graduate textbook begins by introducing Tensors and Riemannian Spaces, and then elaborates their application in solving second-order differential equations, and ends with introducing theory of relativity and de Sitter space. Based on 40 years of teaching e
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