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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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Mathematical Analysis of Problems in the Natural Sciences (Paperback, 2011 ed.)
Loot Price: R1,684
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Mathematical Analysis of Problems in the Natural Sciences (Paperback, 2011 ed.)
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Based on a two-semester course aimed at illustrating various
interactions of "pure mathematics" with other sciences, such as
hydrodynamics, thermodynamics, statistical physics and information
theory, this text unifies three general topics of analysis and
physics, which are as follows: the dimensional analysis of physical
quantities, which contains various applications including
Kolmogorov's model for turbulence; functions of very large number
of variables and the principle of concentration along with the
non-linear law of large numbers, the geometric meaning of the Gauss
and Maxwell distributions, and the Kotelnikov-Shannon theorem; and,
finally, classical thermodynamics and contact geometry, which
covers two main principles of thermodynamics in the language of
differential forms, contact distributions, the Frobenius theorem
and the Carnot-Caratheodory metric. It includes problems,
historical remarks, and Zorich's popular article, "Mathematics as
language and method."
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