Literaturhinweise

• Francoise, Naber, Tsou: Encyclopedia of mathematical physcis 1-5 (SLUB: UC 500)
• Jelitto, R.: Lehrbuch der theoretischen Physik (SLUB: UC 100)
• Landau, Lifshitz: Lehrbuch der theoretischen Physik (SLUB: UC 100)
• Schottenloher, M.: Geometrie und Symmetrie in der Physik (book is out of print) [pdf]
• Stocchi, F.: An Introduction to the Mathematical Structure of Quantum Mechanics (SLUB: SK950 S919)
• Takhtajan, L. A.: Quantum mechanics for mathematicians (SLUB: UK 1200)
• Thirring, W.: Classical mathematical physics (SLUB: SK 950)
• Thirring, W.: Quantum mathematical physics (SLUB: UK 1200)

• Agricola, I.; Friedrich, T.: Vektoranalysis – Differentialformen in Analysis, Geometrie und Physik (SLUB: SK 370)
• Baum, H.: Eichfeldtheorie, [pdf]
• Bertin; Demailly; Illusie; Peters: Introduction to Hodge Theory (SLUB: SK370 B544)
• Curtis, W.D.; Miller, F.R.: Differential Manifolds and Theoretical Physics (SLUB: SK370 C978)
• Ebbinghaus, H.-D. et al.: Zahlen (SLUB: SK180 E15)
• Eschrig, H.: Topology and Geometry for Physics
• Fischer, Kaul: Mathematik für Physiker 1-3 (SLUB: SK 950)
• Hazewinkel, M.: Encyclopaedia of Mathematics (springer)
• Morse, Feshbach: Methods of theoretical physics (SLUB: UK 1000)
• Nakahara, M.: Topology, Geometry and Physics
• Nash, Sen: Topology and Geometry for Physicists
• Reed, Simon: Methods of modern mathematical physics 1-4 (SLUB: SK 600)

• Abraham, Marsden: Foundations of mechanics (SLUB: US 1200) (Artikel)
• Arnol'd, Vladimir I.: Dynamical systems III: mathematical aspects of classical and celestial mechanics (SLUB: SK 520)
• Arnol'd, Vladimir I.: Mathematische Methoden der klassischen Mechanik (SLUB: SK 950)

• Greven, Andreas: Entropy (SLUB: SK 880)
• Haddad, Chellaboina, Nersesov: Thermodynamics: a dynamical systems approach (SLUB: UG 1000)
• Ruelle, David: Statistical mechanics: rigorous results (SLUB: UG 3100)

• Hörmander, L.: The analysis of linear partial differential operators I-IV (SLUB: SK 620)
• Katok, Hasselblat: A first course in dynamics (SLUB: SK 810)
• Katok, Hasselblat: Introduction to the modern theory of dynamical systems (SLUB: SK 520)
• Kuksin, S.B.: Analysis of hamiltonian PDE (SLUB: SK 540)

• Barreira, Pesin: Lyapunov exponents and smooth ergodic theory (MPI-PKS: SK 810)
• Kornfel'd, Fomin, Sinaj: Ergodic theory (SLUB: SK 810)
• Sinaj, Jakov G.: Dynamical systems, ergodic theory and applications (SLUB: SK 810)
• Sinaj, Jakov G.: Dynamical sytems II: ergodic theory with applications to dynamical systems and statistical mechanics (SLUB: SK 810)

• Gutzwiller, M.C.: Chaos in classical and quantum mechanics (SLUB: UG 3900)
• Haake, F.: Quantum Signatures of Chaos (SLUB: UG3900)
• Metzler, W.: Nichtlineare Dynamik und Chaos (SLUB: SK350 M596)
• Stöckmann, H.J.: Quantum chaos (SLUB: UG 3900)

• Dimassi, Sjöstrand: Spectral asymptotics in the semi-classical limit
• Folland, G.B.: Harmonic analysis in phase space (SLUB: SK 450)
• Ivrii, V.: Microlocal analysis and precise spectral asymptotics
• Martinez: An introduction to semiclassical and microlocal analysis
• Saint Raymond, X.: Elementary Introduction to the Theory of Pseudodifferential Operators (SLUB: SK 620/S 151)
• Taylor, M.E.: Pseudodifferential operators and nonlinear PDE (SLUB: SK 540)

• Bratteli, Robinson: Operator algebras and quantum statistical mechanics I and II (SLUB: SK 600)
• Emch, G. G.: Algebraic methods in statistical mechanics and quantum field theory (SLUB: SK 950 E53 R9 - russisch)
• Murphy, Gerard J.: C*-algebras and operator theory
• Kadison, Ringrose: Fundamentals of the theory of operator algebras I-IV (SLUB: SK 600)
• Rordam, M., F. Larsen, N. Laustsen: An introduction to K-theory for C*-algebras.
• Wegge-Olsen, N. E.: K-theory and C*-algebras, a friendly approach
• Takesaki: Theory of operator algebras I and II (SLUB: SK 600)

Weiterführende Literatur zur K-Theorie [pdf]