• Introduction.- Foundations of Density Functional Theory: Existence Theorems.- Effective Single-Particle Equations.- Exchange-Correlation Energy Functional.- Virial Theorems.- Orbital Functionals: Optimized Potential Method.- Time-Dependent Density Functional Theory.- Relativistic Density Functional Theory.- Further Reading.- Appendices: Functionals and the Functional Derivative.- Second Quantization in Many-Body Theory.- Scaling Behavior of Many-Body Methods.- Explicit Density Functionals for the Kinetic Energy: Thomas-Fermi Models and Beyond.- Asymptotic Behavior of Quasi-Particle Amplitudes.- Quantization of Noninteracting Fermions in Relativistic Quantum Field Theory.- Renormalization Scheme of Vacuum QED.- Relativistic Homogeneous Electron Gas.- Renormalization of Inhomogeneous Electron Gas.- Gradient Corrections to the Relativistic LDA.- Gordon Decomposition.- Some Useful Formulae.- Index.

From the reviews: "This book is an introduction to density functional theory (DFT) ... . The presentation is ... aimed at a general scientific audience (physics, chemistry, etc.). ... There are ... many interesting choices in the covered topics. ... Several appendices help in making the book self-contained." (Gabriel Stoltz, Mathematical Reviews, Issue 2011 m) "The book is remarkable for a down-to-earth exposition of DFT that makes it accessible for students specialized in different fields of theoretical physics. ... The book may be useful both for beginners as an introduction to DFT and for specialists who would like to expand their view on rigorous foundations of this theory and to keep an eye on the cutting edge of computational methods in condense matter physics." (Peter Kazinski, Zentralblatt MATH, Vol. 1216, 2011)