Jürgen Kübler was born in Königsberg (Prussia), studied Physics in Giessen (Germany). Fulbright scholar in the USA. Ph.D. from the University of Kansas. Teaching and research positions held at the University of Cologne, Westfield College London, Texas A&M University in College Station, University of Bochum, and Technical University Darmstadt. Frequent visiting scientist at IBM Thomas J. Watson Research Center in Yorktown Heights, USA. Retired since 2002. Oeuvre of 180 publications.

• Introduction 1.1: Basic Facts 1.2: Itinerant electrons 1.3: How to proceed Density-Functional Theory 2.1: Born-Oppenheimer approximation 2.2: Hartree-Fock approximation 2.3: Density-functional theory 2.4: The electron spin: Dirac theory 2.5: Spin-density-functional theory 2.6: The local-density approximation (LDA) 2.7: Nonuniformly magnetized systems 2.8: The generalized gradient approximation (GGA) Energy-Band Theory 3.1: Bloch's theorem 3.2: Plane waves, orthogonalized plane waves and Pseudopotentials 3.3: Augmented plane waves and Green's functions 3.4: Linear methods Electronic Structure and Magnetism 4.1: Introduction and simple concepts 4.2: The magnetic susceptibility 4.3: Elementary magnetic metals 4.4: Magnetic compounds 4.5: Multilayers 4.6: Relativistic eects 4.7: Berry Phase effects in solids 4.8: Weyl Fermions 4.9: Real-case Weyl Fermions Magnetism at Finite Temperatures 5.1: Density-functional theory at T > 0 5.2: Adiabatic spin dynamics 5.3: Mean-field theories 5.4: Spin uctuations 5.5: Magnetic Skyrmions 5.6: High-temperature approaches References

I highly endorse this second edition. The additional topics put it at the very cutting edge. It should be well received.