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This chapter presents the mathematical methods frequently applied in applications. Although the reviewed methods are general, the following examples are mainly the problems of heat transfer in solids. That is because the other two topics laminar and turbulent fluid flow and heat transfer important for studying the basic text are considered with examples in previous chapters of this part of the book. As well as in previous chapters, here, the information from basic text is not repeated, rather at advising the additional explanations a reader is referred to the relevant basic text sections.