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Nerovnosti a jejich aplikace
TESAŘOVÁ, Jaroslava
This Thesis deals with mathematical inequalities, their use in mathematics and applications to thermodynamics. The main emphasis is placed on proofs of inequalities and solving examples. The following thing explains the mathematical concept such as norm or metric, needed to understand these procedures, and also some of basic concepts of thermodynamics. To understand this Thesis the knowledge of analysis and thermodynamics is required.
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Mathematical apparatus of thermodynamics
TESAŘOVÁ, Jaroslava
This Thesis deals with the use of the mathematical apparatus in thermodynamics, specifically the use of Calculus of functions of several variables. The main emphasis is placed on creating a mathematical derivation of the theoretical foundations of thermodynamics, for example Maxwell relations. The following thing explains the linear differential forms with the help of them the laws of thermodynamics are defined. In the Thesis there are examples with solution to illustrate mathematical procedures. To understand this Thesis the knowledge of Calculus is required.
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