• Lie Algebras

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    Learn the fundamental objects in algebra, especially representation theory, with hands-on experience in computing representations and constructing sop...

  • Computational Mechanics

    Numerical solutions to partial differential equations have wide application in many areas of physics, mechanics, engineering, and applied mathematics....

  • Vector and Tensor Calculus

    A geometrically oriented introduction to the calculus of vector and tensor fields on three-dimensional Euclidean point space, with applications to the...

  • Nonlinear Waves: Theory and Simulation

    Many physical processes exhibit some form of nonlinear wave phenomena. However diverse they are (e.g. from engineering to finance), however small they...

  • Stochastic Processes with Applications

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    A broad introduction to stochastic processes, focusing on their application to describe natural phenomena and on numerical simulations rather than on ...

  • Adaptive Systems

    Explore common mathematical frameworks for adaptation at different scales and link them with biological reality. The course is in a "flipped learning...

  • 数理理論物理学ユニット (氷上 忍)

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    数理理論物理学ユニット 氷上 忍 教授   出版物   E. Brezin and S. Hikami,   Random Matrix Theory wi...

  • Mathematical and Theoretical Physics Unit (Shinobu Hikami)

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    Mathematical and Theoretical Physics Unit  Professor Shinobu Hikami   Book   E. Brezin and S. Hikami,   Rand...

  • Quantum Engineering & Design Unit (Bill Munro)

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    The Quantum Engineering and Design (Q.E.D) Unit explores the design and system engineering of future quantum technologies with the aim to provide a pa...

  • 将来型暗号ユニット

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    The Future-Proof Cryptography Unit is dedicated to advancing the field of cryptography and developing secure solutions for the digital age. Led by Pro...