From the reviews: "Kinetic models can be used to describe the behaviour of gases and fluids in applications ... . The structure is different from a classical book, as it is actually a collection of scientific papers. ... it is recommended primarily for mathematicians with a high interest in physics, or for theoretical physicists, both of which at least at graduate level, but for those who understand the presented ideas, it might be a highly valuable tool or an inspiration for further research." (Simon Seichter, Simulation News Europe, Vol. 16 (1), 2006)

• I. Geometric Operators and the Inde.- Spectral invariants of operators of Dirac type on partitioned manifolds.- Index theory of Dirac operators on manifolds with corners up to codimension two.- Index defects in the theory of spectral boundary value problems.- Cyclic homology and pseudo differential operators, a survey.- Index and secondary index theory for flat bundles with duality.- II. Elliptic Boundary Value Problems.- Toeplitz operators, and ellipticity of boundary value problems with global projection conditions.- On the tangential oblique derivative problem — methods, results, open problems.- A note on boundary value problems on manifolds with cylindrical ends.- Relative elliptic theory.- Appendix. Fourier Integral Operators.- A.1. Homogeneous Lagrangian manifolds.- A.2. Local description of homogeneous Lagrangian manifolds.- A.3. Composition of homogeneous Lagrangian manifolds.- A.4. Definition of Fourier integral operators.- A.5. Pseudodifferential operators as Fourier integral operators.- A.6. Boundedness theorems.- A.7. Composition theorems.- References.

From the reviews: "Kinetic models can be used to describe the behaviour of gases and fluids in applications ... . The structure is different from a classical book, as it is actually a collection of scientific papers. ... it is recommended primarily for mathematicians with a high interest in physics, or for theoretical physicists, both of which at least at graduate level, but for those who understand the presented ideas, it might be a highly valuable tool or an inspiration for further research." (Simon Seichter, Simulation News Europe, Vol. 16 (1), 2006)

• I. Geometric Operators and the Inde.- Spectral invariants of operators of Dirac type on partitioned manifolds.- Index theory of Dirac operators on manifolds with corners up to codimension two.- Index defects in the theory of spectral boundary value problems.- Cyclic homology and pseudo differential operators, a survey.- Index and secondary index theory for flat bundles with duality.- II. Elliptic Boundary Value Problems.- Toeplitz operators, and ellipticity of boundary value problems with global projection conditions.- On the tangential oblique derivative problem — methods, results, open problems.- A note on boundary value problems on manifolds with cylindrical ends.- Relative elliptic theory.- Appendix. Fourier Integral Operators.- A.1. Homogeneous Lagrangian manifolds.- A.2. Local description of homogeneous Lagrangian manifolds.- A.3. Composition of homogeneous Lagrangian manifolds.- A.4. Definition of Fourier integral operators.- A.5. Pseudodifferential operators as Fourier integral operators.- A.6. Boundedness theorems.- A.7. Composition theorems.- References.