Classical relaxation phenomenology /
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Author / Creator: | Hodge, Ian M., author. |
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Imprint: | Cham, Switzerland : Springer, [2019] |
Description: | 1 online resource (256 pages) |
Language: | English |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11792523 |
Table of Contents:
- Intro; Preface; Acknowledgments; Contents; About the Author; Part I: Mathematics; Chapter 1: Mathematical Functions and Techniques; 1.1 Gamma and Related Functions (https://dlmf.nist.gov/5); 1.2 Error Function (https://dlmf.nist.gov/7); 1.3 Exponential Integrals (https://dlmf.nist.gov/6); 1.4 Hypergeometric Function (https://dlmf.nist.gov/15); 1.5 Confluent Hypergeometric Function (https://dlmf.nist.gov/13); 1.6 Williams-Watt Function; 1.7 Bessel Functions (https://dlmf.nist.gov/10); 1.8 Orthogonal Polynomials (https://dlmf.nist.gov/18); 1.8.1 Legendre (https://dlmf.nist.gov/14.4)
- 1.8.2 Laguerre (https://dlmf.nist.gov/18.4)1.8.3 Hermite (https://dlmf.nist.gov/18.4); 1.9 Sinc Function; 1.10 Airy Function (https://dlmf.nist.gov/9); 1.11 Struve Function (https://dlmf.nist.gov/11); 1.12 Matrices and Determinants (https://dlmf.nist.gov/1.3); 1.13 Jacobeans (https://dlmf.nist.gov/1.5#vi); 1.14 Vectors (https://dlmf.nist.gov/1.6); References; Chapter 2: Complex Variables and Functions; 2.1 Complex Numbers; 2.2 Complex Functions; 2.2.1 Cauchy Riemann Conditions; 2.2.2 Complex Integration and Cauchy Formulae; 2.2.3 Residue Theorem
- Chapter 4: Elementary Statistics4.1 Probability Distribution Functions; 4.1.1 Gaussian; 4.1.2 Binomial; 4.1.3 Poisson; 4.1.4 Exponential; 4.1.5 Weibull; 4.1.6 Chi-Squared; 4.1.7 F; 4.1.8 Student t; 4.2 Student t-Test; 4.3 Regression Fits; References; Chapter 5: Relaxation Functions; 5.1 Single Relaxation Time; 5.2 Logarithmic Gaussian; 5.3 Fuoss-Kirkwood; 5.4 Cole-Cole; 5.5 Davidson-Cole; 5.6 Glarum Model; 5.7 Havriliak-Negami; 5.8 Williams-Watt; 5.9 Boltzmann Superposition; 5.10 Relaxation and Retardation Processes; 5.11 Relaxation in the Temperature Domain; 5.12 Thermorheological Complexity