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Books on the topic 'Harmonic potential theorem'

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Author: Grafiati

Published: 4 June 2021

Last updated: 20 February 2023

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1

1949-, Picardello Massimo A., ed. Harmonic analysis and discrete potential theory. New York: Plenum Press, 1992.

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2

Almeida, Alexandre. Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume. Basel: Springer Basel, 2013.

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3

Burglind, Jöricke, ed. The uncertainty principle in harmonic analysis. Berlin: Springer-Verlag, 1994.

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4

Mizuta, Yoshihiro. Potential theory in Euclidean spaces. Tokyo: Gakkōtosho, 1996.

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5

J, Deny, Hirsch F, and Mokobodzki G, eds. Séminaire de théorie du potentiel: Paris, no. 8. Berlin: Springer-Verlag, 1987.

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6

Jana, Björn, ed. Nonlinear potential theory on metric spaces. Zürich, Switzerland: European Mathematical Society, 2011.

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7

1953-, Kenig Carlos E., and Lanzani Loredana 1965-, eds. Harmonic measure: Geometric and analytic points of view. Providence, R.I: American Mathematical Society, 2005.

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8

Introduction to heat potential theory. Providence, R.I: American Mathematical Society, 2012.

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9

Watson, N. A. Introduction to heat potential theory. Providence, R.I: American Mathematical Society, 2012.

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10

Anandam, Victor. Harmonic Functions and Potentials on Finite or Infinite Networks. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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11

Simon, Barry. Harmonic analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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12

Patricio, Cifuentes, and American Mathematical Society, eds. Harmonic analysis and partial differential equations: 9th International Conference on Harmonic Analysis and Partial Differential Equations, June 11-15, 2012, El Escorial, Madrid, Spain. Providence, Rhode Island: American Mathematical Society, 2013.

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13

Golubev, Vladimir. Fundamentals of eco-sociohumanism. ru: INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1856825.

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The monograph presents the doctrine of ecosociohumanism from the standpoint of the new natural-humanitarian science of ergodynamics and the science of harmony. Ecosociohumanism acts as a resolution of the "capitalism—socialism" opposition on the basis of their harmonious synthesis. At the same time, the goal of harmonious human development is taken from socialism, and the way of its realization from capitalism is a regulated market. The main components of eco—sociohumanism are: the theory of socio-natural development, trialectics - the doctrine of harmony, the science of man (human studies), the concept of national wealth and quality of life, the theory of the socio-humanitarian state, the ideology of sociohumanism. The essence of the socio-humanitarian transition: from the "consumer society" to the "society of eco-sociohumanism", from the social to the socio-humanitarian state, from the "social man" to the "socio-spiritual man" ("Harmonious Man"). The evolutionary trajectory of the development of "liberalism — integralism — ecosociohumanism" is scientifically substantiated. The interpretation of national wealth as a potential for the development of society is given. The quality of life index is proposed. Based on the calculation of national wealth and the quality of life index of Russia and the countries of the world, it is shown that the country is experiencing an acute socio—humanitarian crisis - the crisis of a person and a development model. The human crisis is associated with a deepening techno-humanitarian imbalance. The crisis of the social model is caused by the fact that the laws of socio-natural development are ignored in domestic policy. The economy, social policy, culture, geopolitics of a socio-humanitarian state are considered. The scientific foundations of the new peace movement are given. The attitudes of eco-sociohumanism are compared with a number of existing social concepts. It is popular in nature (without mathematical apparatus, often inaccessible to humanities) and is designed for a wide range of readers.

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14

Saff, E. B., Douglas Patten Hardin, Brian Z. Simanek, and D. S. Lubinsky. Modern trends in constructive function theory: Conference in honor of Ed Saff's 70th birthday : constructive functions 2014, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee. Providence, Rhode Island: American Mathematical Society, 2016.

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15

Riemann surfaces by way of complex analytic geometry. Providence, R.I: American Mathematical Society, 2011.

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16

Ibragimov, Zair. Topics in several complex variables: First USA-Uzbekistan Conference on Analysis and Mathematical Physics, May 20-23, 2014, California State University, Fullerton, California. Providence, Rhode Island: American Mathematical Society, 2016.

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17

Cornea, Aurel, and Corneliu Constantinescu. Potential Theory on Harmonic Spaces. Springer, 2012.

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18

Garnett, John B., and Donald E. Marshall. Harmonic Measure. Cambridge University Press, 2010.

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19

Garnett, John B., and Donald E. Marshall. Harmonic Measure. Cambridge University Press, 2005.

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20

Garnett, John B., and Donald E. Marshall. Harmonic Measure. Cambridge University Press, 2005.

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21

Garnett, John B., and Donald E. Marshall. Harmonic Measure. Cambridge University Press, 2005.

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22

Garnett, John B., and Donald E. Marshall. Harmonic Measure. Cambridge University Press, 2008.

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23

Garnett, John B., and Donald E. Marshall. Harmonic Measure. Cambridge University Press, 2005.

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24

Harmonic Analysis and Discrete Potential Theory. Springer, 2013.

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25

Picardello, M. A. Harmonic Analysis and Discrete Potential Theory. Springer London, Limited, 2013.

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26

Harmonic Measure (New Mathematical Monographs). Cambridge University Press, 2005.

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27

Havin, Victor, and Burglind Jöricke. Uncertainty Principle in Harmonic Analysis. Springer, 2012.

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28

Havin, Victor, and Burglind Jöricke. Uncertainty Principle in Harmonic Analysis. Springer London, Limited, 2011.

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29

Speck, Frank-Olme, Luís Castro, and Alexandre Almeida. Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume. Springer Basel AG, 2015.

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30

Doob, Joseph L. Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics). Springer, 2001.

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31

Classical Potential Theory and Its Probabilistic Counterpart: Advanced Problems. Springer, 2012.

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32

Doob, Joseph L. Classical Potential Theory and Its Probabilistic Counterpart. Springer London, Limited, 2012.

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33

Doob, J. L. Classical Potential Theory and Its Probabilistic Counterpart: Advanced Problems. Springer London, Limited, 2012.

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34

Bonfiglioli, Andrea, Ermanno Lanconelli, and Francesco Uguzzoni. Stratified Lie Groups and Potential Theory for Their Sub-Laplacians (Springer Monographs in Mathematics). Springer, 2007.

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35

Stratified Lie Groups and Potential Theory for Their Sub-Laplacians (Springer Monographs in Mathematics). Springer, 2007.

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36

Bonfiglioli, Andrea, Ermanno Lanconelli, and Francesco Uguzzoni. Stratified Lie Groups and Potential Theory for Their Sub-Laplacians. Springer, 2010.

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37

Havin, Victor, and Burglind Jöricke. The Uncertainty Principle in Harmonic Analysis (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics). Springer, 1997.

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38

Taylor, J. D., B. Elliott, D. Dickel, G. Keskar, J. Gaillard, M. J. Skove, and A. M. Rao. Harmonic detection of resonance methods for micro- and nanocantilevers: Theory and selected applications. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533053.013.7.

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This article examines the harmonic detection of resonance (HDR) methods for micro- and nanocantilevers, with particular emphasis on theory and selected applications. Micro- and nanocantilevers have the potential to revolutionize physical, chemical, and biological sensing. Microcantilevers in particular are easily integrated into standard high-volume silicon manufacturing processes, making them relatively inexpensive and mass-producible. This article begins with an overview of basic transduction mechanisms applicable to micro- and nanocantilever-based systems. It then considers several detection schemes for measuring the static and/or dynamic response of micro- and nanocantilevers. It goes on to discuss electrostatic actuation and capacitive detection, how HDR works, and the differences between the mechanical and electrical responses of an electrostatically actuated microcantilever. Finally, it presents a number of applications for micro- and nanocantilevers, along with detection results for cantilevered multiwall carbon nanotubes.

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39

Beneteau, Catherine, Mark L. Agranovsky, Lavi Karp, Dmitry Khavinson, and Matania Ben-Artzi. Complex Analysis and Dynamical Systems VII. American Mathematical Society, 2017.

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40

Temperley, David. Introduction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190653774.003.0001.

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This chapter presents the scope, rationale, and approach of the book. Unlike much previous research on rock, the book is focused on musical rather than sociocultural aspects; it is primarily theoretical (focused on general features of the style) rather than analytical (focused on understanding individual works), though it is argued that developing a stronger theoretical foundation for rock will benefit analysis. Rock is defined broadly, to include a wide range of late twentieth-century Anglo-American popular styles. The chapter addresses some potentially controversial aspects of the book, such as the idea of rock as a musical “language,” the use of concepts from common-practice theory, the use of music notation, and the focus on purely musical aspects of the rock style. The chapter also describes the corpus of harmonic analyses and melodic transcriptions that is used in the book.

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41

Swendsen, Robert H. An Introduction to Statistical Mechanics and Thermodynamics. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198853237.001.0001.

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This is a textbook on statistical mechanics and thermodynamics. It begins with the molecular nature of matter and the fact that we want to describe systems containing many (1020) particles. The first part of the book derives the entropy of the classical ideal gas using only classical statistical mechanics and Boltzmann’s analysis of multiple systems. The properties of this entropy are then expressed as postulates of thermodynamics in the second part of the book. From these postulates, the structure of thermodynamics is developed. Special features are systematic methods for deriving thermodynamic identities using Jacobians, the use of Legendre transforms as a basis for thermodynamic potentials, the introduction of Massieu functions to investigate negative temperatures, and an analysis of the consequences of the Nernst postulate. The third part of the book introduces the canonical and grand canonical ensembles, which are shown to facilitate calculations for many models. An explanation of irreversible phenomena that is consistent with time-reversal invariance in a closed system is presented. The fourth part of the book is devoted to quantum statistical mechanics, including black-body radiation, the harmonic solid, Bose–Einstein and Fermi–Dirac statistics, and an introduction to band theory, including metals, insulators, and semiconductors. The final chapter gives a brief introduction to the theory of phase transitions. Throughout the book, there is a strong emphasis on computational methods to make abstract concepts more concrete.

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