عنوان

Classical relaxation phenomenology /

شابک

303002458X

شابک

3030024598

شابک

3030024601

شابک

9783030024581

شابک

9783030024598

شابک

9783030024604

عنوان اصلي

Classical relaxation phenomenology /

نام عام مواد

[Book]

نام نخستين پديدآور

Ian M. Hodge.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2019]

نام خاص و کميت اثر

1 online resource (256 pages)

متن يادداشت

Includes bibliographical references and indexes.

متن يادداشت

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)

متن يادداشت

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

متن يادداشت

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

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

متن يادداشت

This book serves as a self-contained reference source for engineers, materials scientists, and physicists with an interest in relaxation phenomena. It is made accessible to students and those new to the field by the inclusion of both elementary and advanced math techniques, as well as chapter opening summaries that cover relevant background information and enhance the book's pedagogical value. These summaries cover a wide gamut from elementary to advanced topics. The book is divided into three parts. The opening part, on mathematics, presents the core techniques and approaches. Parts II and III then apply the mathematics to electrical relaxation and structural relaxation, respectively. Part II discusses relaxation of polarization at both constant electric field (dielectric relaxation) and constant displacement (conductivity relaxation), topics that are not often discussed together. Part III primarily discusses enthalpy relaxation of amorphous materials within and below the glass transition temperature range. It takes a practical approach inspired by applied mathematics in which detailed rigorous proofs are eschewed in favor of describing practical tools that are useful to scientists and engineers. Derivations are however given when these provide physical insight and/or connections to other material. A self-contained reference on relaxation phenomena Details both the mathematical basis and applications For engineers, materials scientists, and physicists.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030024598

عنوان

Classical Relaxation Phenomenology.

شماره استاندارد بين المللي کتاب و موسيقي

9783030024581

موضوع مستند نشده

Relaxation phenomena-- Mathematics.

موضوع مستند نشده

TDC

موضوع مستند نشده

TDCQ

موضوع مستند نشده

TEC021000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Hodge, Ian M.

تاريخ عمليات

20200823074229.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y