Simulating the Physical World: Hierarchical Modeling from Quantum Mechanics to Fluid Dynamics Book

Pt. I	A modeling hierarchy for simulations	1
1	Introduction	3
2	Quantum mechanics : principles and relativistic effects	19
3	From quantum to classical mechanics : when and how	39
4	Quantum chemistry : solving the time-independent Schrodinger equation	77
5	Dynamics of mixed quantum/classical systems	109
6	Molecular dynamics	139
7	Free energy, entropy and potential of mean force	211
8	Stochastic dynamics : reducing degrees of freedom	249
9	Coarse graining from particles to fluid dynamics	279
10	Mesoscopic continuum dynamics	297
11	Dissipative particle dynamics	305
Pt. II	Physical and theoretical concepts	313
12	Fourier transforms	315
13	Electromagnetism	335
14	Vectors, operators and vector spaces	379
15	Lagrangian and Hamiltonian mechanics	397
16	Review of thermodynamics	423
17	Review of statistical mechanics	453
18	Linear response theory	505
19	Splines for everything	523