Classical Mechanics and Geometry

Description

This book is based upon the first in a series of lecture notes written by the author for his courses in mathematical physics at Qiuzhen College of Tsinghua University, Beijing. Its purpose is to explain the key physical elements of Lagrangian and Hamiltonian mechanics, and their relationship to modern developments in geometry. Heavy emphasis is placed on different faces of concrete examples that illustrate the bridge between mathematics and physics.

ABOUT THE AUTHOR

Si Li received his PhD in mathematics at Harvard University, and is currently professor in the Department of Mathematical Sciences at Tsinghua University. His specialty is mathematical physics, especially the interplay between quantum field theory and geometry/topology. He is the winner of the 2016 Morningside Gold Medal, for his construction of the quantum B-twisted string field theory, and for his solution to the Landau–Ginzburg Mirror Symmetry Conjecture. He was an invited plenary speaker at the String-Math conference in 2018 (Japan) and in 2021 (Brazil).

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