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1. |
Record Nr. |
UNINA9910480018203321 |
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Autore |
Vick James W |
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Titolo |
Homology Theory [[electronic resource] ] : An Introduction to Algebraic Topology / / by James W. Vick |
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Pubbl/distr/stampa |
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 |
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ISBN |
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Edizione |
[2nd ed. 1994.] |
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Descrizione fisica |
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1 online resource (XIV, 245 p.) |
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Collana |
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Graduate Texts in Mathematics, , 0072-5285 ; ; 145 |
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Disciplina |
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Soggetti |
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Algebraic topology |
Topology |
Algebraic Topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Singular Homology Theory -- 2 Attaching Spaces with Maps -- 3 The Eilenberg-Steenrod Axioms -- 4 Covering Spaces -- 5 Products -- 6 Manifolds and Poincaré Duality -- 7 Fixed-Point Theory -- Appendix I -- Appendix II -- References -- Books and Historical Articles Since 1973 -- Books and Notes -- Survey and Expository Articles. |
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Sommario/riassunto |
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The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973. |
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2. |
Record Nr. |
UNINA9910452339203321 |
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Autore |
Hansen Jean-Pierre <1942-> |
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Titolo |
Theory of simple liquids [[electronic resource]] : with applications to soft matter / / Jean-Pierre Hansen, Ian R. McDonald |
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Pubbl/distr/stampa |
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Oxford, England, : Academic Press, c2013 |
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ISBN |
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Edizione |
[4th ed.] |
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Descrizione fisica |
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1 online resource (637 p.) |
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Altri autori (Persone) |
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McDonaldIan R (Ian Ranald) |
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Disciplina |
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Soggetti |
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Liquids |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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Half Title; Title Page; Copyright; Contents; Preface to the Fourth Edition; Preface to the Third Edition; Preface to the Second Edition; Preface to the First Edition; 1 Introduction; 1.1 The Liquid State; 1.2 Intermolecular Forces and Model Potentials; 1.3 Experimental Methods; References; 2 Statistical Mechanics; 2.1 Time Evolution and Kinetic Equations; 2.2 Time Averages and Ensemble Averages; 2.3 Canonical and Isothermal-Isobaric Ensembles; 2.4 The Grand Canonical Ensemble and Chemical Potential; 2.5 Particle Densities and Distribution Functions |
2.6 Particle Densities in the Grand Canonical Ensemble2.7 Molecular Dynamics Simulation; 2.8 Monte Carlo Methods; References; 3 Static Properties of Liquids: Thermodynamics and Structure; 3.1 A Fluid in an External Field; 3.2 Functionals and Functional Differentiation; 3.3 Functional Derivatives of the Grand Potential; 3.4 Density Functional Theory; 3.5 Direct Correlation Functions; 3.6 The Density Response Function; 3.7 Diagrammatic Methods; 3.8 Diagrammatic Expansions of the Direct Correlation Functions; 3.9 Virial Expansion of the Equation of State; 3.10 Binary Systems; References |
4 Distribution Function Theories4.1 The Static Structure Factor; 4.2 The YBG Hierarchy and the Born-Green Equation; 4.3 Functional Expansions |
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and Integral Equations; 4.4 The Percus-Yevick Equation; 4.5 The Mean Spherical Approximation; 4.6 Diagrammatic Expansions of the Pair Functions; 4.7 Extensions of Integral Equations; 4.8 Asymptotic Decay of the Pair Correlation Function; References; 5 Perturbation Theory; 5.1 Introduction: The van der Waals Model; 5.2 The λ-Expansion; 5.3 Singular Perturbations: The f-Expansion; 5.4 Soft-Core Reference Systems; 5.5 An Example: The Lennard-Jones Fluid |
5.6 Treatment of Attractive Forces5.7 Mean Field Theory of Liquid-Vapour Coexistence; 5.8 Scaling Concepts and Hierarchical Reference Theory; References; 6 Inhomogeneous Fluids; 6.1 Liquids at Interfaces; 6.2 Approximate Free Energy Functionals; 6.3 The Liquid-Vapour Interface; 6.4 A Microscopic Expression for the Surface Tension; 6.5 Fundamental Measure Theory; 6.6 Confined Fluids; 6.7 Density Functional Theory of Wetting; 6.8 Density Functional Theory of Freezing; 6.9 Fluids Adsorbed in Porous Media; 6.10 Thermodynamics of Glasses; References |
7 Time-dependent Correlation and Response Functions7.1 General Properties of Time Correlation Functions; 7.2 An Illustration: The Velocity Autocorrelation Function and Self-Diffusion; 7.3 Brownian Motion and a Generalised Langevin Equation; 7.4 Correlations in Space and Time; 7.5 Inelastic Scattering of Neutrons and X-Rays; 7.6 Linear Response Theory; 7.7 Applications of the Linear Response Formalism; References; 8 Hydrodynamics and Transport Coefficients; 8.1 Thermal Fluctuations at Long Wavelengths and Low Frequencies; 8.2 Space-Dependent Self Motion |
8.3 The Navier-Stokes Equation and Hydrodynamic Collective Modes |
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Sommario/riassunto |
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Comprehensive coverage of topics in the theory of classical liquids Widely regarded as the standard text in its field, Theory of Simple Liquids gives an advanced but self-contained account of liquid state theory within the unifying framework provided by classical statistical mechanics. The structure of this revised and updated Fourth Edition is similar to that of the previous one but there are significant shifts in emphasis and much new material has been added. Major changes and Key Features in content include: Expansion of existing sections on simulation me |
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3. |
Record Nr. |
UNISA996205387803316 |
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Titolo |
Open Control Systems - the Importance of Industrial Standards |
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Pubbl/distr/stampa |
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[Place of publication not identified], : Institution of Engineering & Technology, 2004 |
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Descrizione fisica |
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1 online resource : illustrations |
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Disciplina |
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Soggetti |
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Computer networks |
Internet - Standards |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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