1.

Record Nr.

UNINA9910796036303321

Titolo

Fractal geometry and dynamical systems in pure and applied mathematics I : fractals in pure mathematics / / David Carfi [and three others], editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2013

©2013

ISBN

1-4704-1082-6

Descrizione fisica

1 online resource (410 p.)

Collana

Contemporary mathematics, , 1098-3627 ; ; 600 , 0271-4132

Classificazione

28A1228A7828A8011M2611M4137A4537C4537F1058B2058C40

Disciplina

514/.742

Soggetti

Fractals

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy."

"AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts."

"AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Preface --  Separation Conditions for Iterated Function Systems with Overlaps --  1 Introduction --  2 Preliminaries --  3 The finite type condition --  4 More on the finite type condition --  5 Generalized finite type condition --  6 Weak separation condition --  References --  -point Configurations of Discrete Self-Similar Sets --  1 Introduction --  2 Lower bounds for -point configurations of compatible fractals --  3 Determinant fractal zeta functions --  References --  Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator --  1 Introduction --  2 Generalized Fractal Strings and Their Complex Dimensions --  3 The Spectral Operator and the Infinitesimal Shifts --  4 Inverse and Direct Spectral Problems for Fractal Strings --  5 Quasi-Invertibility and Almost Invertibility of the Spectral Operator --  6 Spectral Reformulations of the Riemann Hypothesis and of Almost RH --  7 Concluding Comments --  8 Appendix A: Riemann's Explicit Formula --  9 Appendix B: The Momentum Operator and Normality of



--  References --  Analysis and Geometry of the Measurable Riemannian Structure on the SierpiÅski Gasket --  1 Introduction --  2 SierpiÅski gasket and its standard Dirichlet form --  3 Measurable Riemannian structure on the SierpiÅski gasket --  4 Geometry under the measurable Riemannian structure --  5 Short time asymptotics of the heat kernels --  6 Ahlfors regularity and singularity of Hausdorff measure --  7 Weyl's Laplacian eigenvalue asymptotics cont.

2.

Record Nr.

UNINA9910956916603321

Autore

Satō Norio

Titolo

Chemical energy and exergy : an introduction to chemical thermodynamics for engineers / / Norio Sato

Pubbl/distr/stampa

San Diego, CA ; ; Amsterdam, : Elsevier, 2004

ISBN

1-281-05800-9

9786611058005

0-08-050100-1

Edizione

[1st ed.]

Descrizione fisica

1 online resource (161 p.)

Disciplina

541.36902462

541/.36 22

Soggetti

Thermochemistry

Irreversible processes

Exergy

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. [145]) and index.

Nota di contenuto

Front Cover; Chemical Energy and Exergy: An Introduction to Chemical Thermodynamics for Engineers; Copyright Page; CONTENTS; PREFACE; CHAPTER 1. THERMODYNAMIC STATE VARIABLES; 1.1. Thermodynamic systems; 1.2. Variables of the state; 1.3. Extensive and intensive variables; 1.4. Partial molar quantities; 1.5. The extent of a chemical reaction; CHAPTER 2. CONSERVATION OF ENERGY; 2.1. Energy as a physical quantity of the state; 2.2. Conservation of energy; 2.3. Internal energy U with independent variables T, V, and ?; 2.4. Enthalpy H with independent variables T, p, and ?

2.5. Enthalpy and heat of reaction2.6. Enthalpy of pure substances;



CHAPTER 3. ENTROPY AS A STATE PROPERTY; 3.1. Introduction to entropy; 3.2. Reversible and irreversible processes; 3.3. The creation of entropy and uncompensated heat; 3.4. The creation of entropy and thermodynamic potentials; 3.5. Affinity of irreversible processes; 3.6. Entropy of pure substances; 3.7. Entropy of heat transfer; 3.8. Entropy of gas expansion; 3.9. Entropy of mixing; CHAPTER 4. AFFINITY IN IRREVERSIBLE PROCESSES; 4.1. Affinity in chemical reactions; 4.2. Affinity and heat of reaction

4.3. The average heat of reaction4.4. The average affinity of reaction; CHAPTER 5. CHEMICAL POTENTIAL; 5.1. Thermodynamic potentials in open systems; 5.2. The partial molar quantity of energy and the chemical potential; 5.3. Chemical potentials and the affinity of reaction; 5.4. Chemical potentials and thermodynamic energy functions; 5.5. Chemical potentials in homogeneous mixtures: the Gibbs-Duhem equation; 5.6. Chemical potentials of substances in ideal mixtures; 5.7. Activity and activity coefficient; 5.8. Chemical potentials of pure substances

5.9. Thermodynamic potentials in ideal mixtures5.10. The unitary and mixing terms of thermodynamic potentials; CHAPTER 6. UNITARY AFFINITY AND EQUILIBRIUM; 6.1. Affinity and equilibrium in chemical reactions; 6.2. The unitary affinity; 6.3. Equilibrium constants and concentration units; 6.4. Equilibrium constants as a function of pressure and temperature; CHAPTER 7. GASES, LIQUIDS, AND SOLIDS; 7.1. Perfect and ideal gases; 7.2. Non-ideal gases; 7.3. Liquids and solids; 7.4. The state equation and thermodynamic functions of condensed substances; CHAPTER 8. SOLUTIONS

8.1. Ideal and non-ideal solutions8.2. Perfect solutions and ideal solutions; 8.3. Reference systems for thermodynamic unitary quantity; 8.4. Thermodynamic excess functions in non-ideal solutions; 8.5. Units of the concentration; 8.6. Osmotic pressure; 8.7. Electrolytic solutions; CHAPTER 9. ELECTROCHEMICAL ENERGY; 9.1. Electrochemical potential of charged particles; 9.2. Transfer of charged particles between two condensed phases; 9.3. Electrode and electrode potential; 9.4. Electrochemical cells; 9.5. Equilibrium electrode potential of electronic transfer reactions

9.6. Equilibrium electrode potential of ionic transfer reactions

Sommario/riassunto

This book is a beginners introduction to chemical thermodynamics for engineers. In the textbook efforts have been made to visualize as clearly as possible the main concepts of thermodynamic quantities such as enthalpy and entropy, thus making them more perceivable. Furthermore, intricate formulae in thermodynamics have been discussed as functionally unified sets of formulae to understand their meaning rather than to mathematically derive them in detail.In this textbook, the affinity of irreversible processes, defined by the second law of thermodynamics, has been treated as the main