Mathematical Analysis of Problems in the Natural Sciences (Hardcover)

Part I Analysis of Dimensions of Physical Quantities: 1 Elements of the theory.- 2 Examples of applications.- 3 Further applications: hydrodynamics and turbulence.- Part II: Multidimensional Geometry and Functions of a Very Large Number of Variables: 1 Some examples of functions of very many variables in natural science and technology.- 2 Concentration principle and its applications.- 3 Communication in the presence of noise.- Part III Classical Thermodynamics and Contact Geometry: 1 Classical thermodynamics (basic ideas).- 2 Thermodynamics and contact geometry.- 3 Thermodynamics classical and statistical.- References.- Appendix. Mathematics as Language and Method