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Filling the gap between basic undergraduate courses and advanced graduate courses, this text explains how to analyze and solve conduction, convection, and radiation heat transfer problems analytically. It describes many well-known analytical methods and their solutions, such as Bessel functions, separation of variables, similarity method, integral method, and matrix inversion method. Developed from the author's 30 years of teaching, the text also presents step-by-step mathematical formula derivations, analytical solution procedures, and numerous demonstration examples of heat transfer applications.