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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and
Author(s):
Tag(s):
- mathematics
- mirror symmetry
- deformation
- hodge theory
- pseudoholomorphic
- gromov-witten
- cohomology
- yukawa
- monodromy
- picard-fuchs
- lagrangian floer theory
- homology
- syz conjecture
- submanifolds
- k3 surfaces
- matrices
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblage
Author(s):
Tag(s):
- mechanical engineering
- statics
- pressure
- deformation
- deformable solid
- equilibrium
- geometric compatibility
- material behavior
- stress
- strain
- shear
- elasticity
- thermal expansion
- failure modes
- biomechanics
- natural materials
- motion
- structure
- force
- moment
- member
- truss
- friction
- torsion
- bending
- displacement
- beam
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