Titlebook: Classical Relaxation Phenomenology; Ian M. Hodge Book 2019 Springer Nature Switzerland AG 2019 relaxation spectroscopy.dielectric relaxati

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Mathematical Functions and TechniquesThis chapter summarizes many of the mathematical functions and techniques required to analyze relaxation phenomena quantitatively. Elementary mathematical results are given in Appendix ., and additional specialized results are presented in Chaps. ., . and .. Elementary statistics is briefly summarized in Chap. ..

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Complex Variables and FunctionsComplex numbers and functions are discussed. This material lays the groundwork for fundamental relaxation results.

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Other Functions and RelationsThis chapter describes mathematics that are specifically applicable to relaxation phenomena but not restricted to the frequency domain. In particular Sect. . gives fundamental derivations of relations between frequency domain functions and relaxation time distributions.

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Introduction to Electrical Relaxation This Chapter reviews basic elements of electromagnetism.

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ExamplesApplications of electrical relaxation phenomenologies to several materials are reviewed. The materials include various forms of water and several solid electrolytes.

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ThermodynamicsThe basic elements of thermodynamics are discussed.

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