|
Geometry and Topology in Electronic Structure Theory
This is a set of advanced lecture notes by physicist Raffaele Resta. It is best for the graduate physics courses and explains how certain mathematical ideas (like geometry and topology) help us understand the electronic properties of materials—espec . . . READ MORE
|
|
|
First Steps Towards a Symplectic Dynamics, Bramham -PDF
A long time ago, these two fields - symplectic geometry (which comes from physics and helps describe the shape of space) and dynamical systems (which studies how things move or evolve) were closely connected. But over the years, they drifted apart. B . . . READ MORE
|
|
|
The Edinburgh Lectures on Geometry Michael Atiyah - PDF
The Edinburgh Lectures on Geometry, Analysis and Physics by Sir Michael Atiyah are a series of six talks he gave in 2008–2009 at the University of Edinburgh. In these lectures, Atiyah explored how ideas from geometry and analysis connect deeply with . . . READ MORE
|
|
|
Lectures on Calabi-Yau and Special Lagrangian Geometry
This book is an introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian geometry. Yau Manifolds are special shapes (call . . . READ MORE
|
|
|
Complex geometry, Calabi-Yau manifolds, Toric Geometry
This book is a helpful guide for anyone studying complex geometry, especially those interested in string theory. It explains difficult ideas in a way that’s easy to understand, and it’s a good resource for students or researchers who want to learn mo . . . READ MORE
|
|