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11 Shizgal, Bernard Spectral Methods in Chemistry and Physics I08216 2015 eBook  
12 Britz, Dieter Digital Simulation in Electrochemistry I07455 2005 eBook  
13 Thornton, Colin Granular Dynamics, Contact Mechanics and Particle System Simulations I07196 2015 eBook  
14 Sahni, Viraht Quantal Density Functional Theory II I07176 2009 eBook  
15 Brandt, Siegmund Data Analysis I07034 2014 eBook  
16 Guttmann, A. J Polygons, Polyominoes and Polycubes I06967 2009 eBook  
17 Rabinovich, Semyon G Measurement Errors and Uncertainties I06733 2005 eBook  
18 Blum, Karl Density Matrix Theory and Applications I06675 2012 eBook  
19 Pismen, L.M Patterns and Interfaces in Dissipative Dynamics I06108 2006 eBook  
20 Alexander N Gorban (ed.) Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena I06053 2006 eBook  
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11.    
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TitleSpectral Methods in Chemistry and Physics : Applications to Kinetic Theory and Quantum Mechanics
Author(s)Shizgal, Bernard
PublicationDordrecht, Springer Netherlands, 2015.
DescriptionXVII, 415 p. 102 illus., 2 illus. in color : online resource
Abstract NoteThis book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed.?? The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schr??dinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book
ISBN,Price9789401794541
Keyword(s)1. Chemometrics 2. EBOOK 3. EBOOK - SPRINGER 4. Math. Applications in Chemistry 5. MATHEMATICAL PHYSICS 6. PHYSICAL CHEMISTRY 7. QUANTUM PHYSICS 8. Theoretical, Mathematical and Computational Physics
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12.     
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TitleDigital Simulation in Electrochemistry
Author(s)Britz, Dieter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionXIII, 338 p. 252 illus : online resource
Abstract NoteThe book shows how to numerically solve the parabolic partial differential equations (pdes) encountered in electroanalytical chemistry. It does this in a didactic manner, by first introducing the basic equations to be solved and some model systems as text cases, for which solutions exist. Then it treats basic numerical approximation for derivatives and techniques for the numerical solution of ordinary differential equations, from which the more complicated methods for pdes can be derived. The major implicit methods are described in detail, and the handling of homogeneous chemical reactions, including coupled and nonlinear cases, is detailed. More advanced techniques are presented briefly, as well as some commercially available program packages. This third edition, still the only text on the subject, is structured more didactically then the previous editions. It brings the coverage of electrochemical digital simulation up to date, including many new techniques developed since the early 1990s. A number of example procedures and programs are made available as supplementary material in the online version of this book
ISBN,Price9783540315247
Keyword(s)1. Analytical chemistry 2. Chemistry, Physical and theoretical 3. Chemometrics 4. COMPLEXITY 5. COMPUTATIONAL COMPLEXITY 6. EBOOK 7. EBOOK - SPRINGER 8. ELECTRONICS 9. Electronics and Microelectronics, Instrumentation 10. Math. Applications in Chemistry 11. MICROELECTRONICS 12. PHYSICAL CHEMISTRY 13. Theoretical and Computational Chemistry
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13.     
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TitleGranular Dynamics, Contact Mechanics and Particle System Simulations : A DEM study
Author(s)Thornton, Colin
PublicationCham, Springer International Publishing, 2015.
DescriptionXIII, 195 p. 144 illus., 13 illus. in color : online resource
Abstract NoteThis book is devoted to the Discrete Element Method (DEM) technique, a discontinuum modelling approach that takes into account the fact that granular materials are composed of discrete particles which interact with each other at the microscale level. This numerical simulation technique can be used both for dispersed systems in which the particle-particle interactions are collisional and compact systems of particles with multiple enduring contacts. The book provides an extensive and detailed explanation of the theoretical background of DEM. Contact mechanics theories for elastic, elastic-plastic, adhesive elastic and adhesive elastic-plastic particle-particle interactions are presented. Other contact force models are also discussed, including corrections to some of these models as described in the literature, and important areas of further research are identified. A key issue in DEM simulations is whether or not a code can reliably simulate the simplest of systems, namely the single particle oblique impact with a wall. This is discussed using the output obtained from the contact force models described earlier, which are compared for elastic and inelastic collisions.??In addition, further insight is provided for the impact of adhesive particles. The author then moves on to provide the results of selected DEM applications to agglomerate impacts,??fluidised beds and quasi-static deformation, demonstrating that the DEM technique can be used (i) to mimic experiments, (ii) explore parameter sweeps, including limiting values, or (iii) identify new, previously unknown, phenomena at the microscale. In the DEM applications the emphasis is on discovering new information that enhances our rational understanding of particle systems, which may be??more significant than developing a new continuum model that encompasses all microstructural aspects, which would most likely prove too complicated for practical implementation.??The book??will be of interest to academic and industrial researchers working in particle technology/process engineering and geomechanics, both experimentalists and theoreticians
ISBN,Price9783319187112
Keyword(s)1. Amorphous substances 2. APPLIED MATHEMATICS 3. CHEMICAL ENGINEERING 4. Chemometrics 5. Complex fluids 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. Fluid- and Aerodynamics 10. FLUIDS 11. Industrial Chemistry/Chemical Engineering 12. Math. Applications in Chemistry 13. Mathematical and Computational Engineering 14. Soft and Granular Matter, Complex Fluids and Microfluidics
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14.     
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TitleQuantal Density Functional Theory II : Approximation Methods and Applications
Author(s)Sahni, Viraht
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionXVIII, 426 p : online resource
Abstract NoteThis book is on approximation methods and applications of Quantal Density Functional Theory (QDFT), a new local effective-potential-energy theory of electronic structure. What distinguishes the theory from traditional density functional theory is that the electron correlations due to the Pauli exclusion principle, Coulomb repulsion, and the correlation contribution to the kinetic energy -- the Correlation-Kinetic effects -- are separately and explicitly defined. As such it is possible to study each property of interest as a function of the different electron correlations. Approximations methods based on the incorporation of different electron correlations, as well as a many-body perturbation theory within the context of QDFT, are developed. The applications are to the few-electron inhomogeneous electron gas systems in atoms and molecules, as well as to the many-electron inhomogeneity at metallic surfaces
ISBN,Price9783540922292
Keyword(s)1. Chemometrics 2. EBOOK 3. EBOOK - SPRINGER 4. Materials???Surfaces 5. Math. Applications in Chemistry 6. MATHEMATICAL PHYSICS 7. Surfaces and Interfaces, Thin Films 8. Theoretical, Mathematical and Computational Physics 9. THIN FILMS
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15.     
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TitleData Analysis : Statistical and Computational Methods for Scientists and Engineers
Author(s)Brandt, Siegmund
PublicationCham, Springer International Publishing, 2014.
DescriptionXX, 523 p. 134 illus : online resource
Abstract NoteThe fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory and practical problems. The concise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysis and graphical representation as well as many example programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free download from the book???s page at www.springer.com. Contents Probabilities. Random variables. Random numbers and the Monte Carlo Method. Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. Maximum Likelihood. Least Squares. Regression. Minimization. Analysis of Variance. Time series analysis. Audience The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists and practitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work. ???The book is concise, but gives a sufficiently rigorous mathematical treatment of practical statistical methods for data analysis; it can be of great use to all who are involved with data analysis.??? Physicalia ???This lively and erudite treatise covers the theory of the main statistical tools and their practical applications???a first rate university textbook, and good background material for the practicing physicist.??? Physics Bulletin The Author Siegmund Brandt is Emeritus Professor of Physics at the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in Hamburg and CERN in Geneva in which the analysis of the experimental data plays an important role. He is author or coauthor of textbooks which have appeared in ten languages
ISBN,Price9783319037622
Keyword(s)1. APPLIED MATHEMATICS 2. Chemometrics 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Math. Applications in Chemistry 7. Mathematical and Computational Engineering 8. Mathematical Methods in Physics 9. Numerical and Computational Physics, Simulation 10. PHYSICS 11. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences 12. Statistics??
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16.     
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TitlePolygons, Polyominoes and Polycubes
Author(s)Guttmann, A. J
PublicationDordrecht, Springer Netherlands, 2009.
DescriptionXIX, 490 p : online resource
Abstract NoteThis unique book gives a comprehensive account of new mathematical tools used to solve polygon problems. In the 20th and 21st centuries, many problems in mathematics, theoretical physics and theoretical chemistry ??? and more recently in molecular biology and bio-informatics ??? can be expressed as counting problems, in which specified graphs, or shapes, are counted. One very special class of shapes is that of polygons. These are closed, connected paths in space. We usually sketch them in two-dimensions, but they can exist in any dimension. The typical questions asked include "how many are there of a given perimeter?", "how big is the average polygon of given perimeter?", and corresponding questions about the area or volume enclosed. That is to say "how many enclosing a given area?" and "how large is an average polygon of given area?" Simple though these questions are to pose, they are extraordinarily difficult to answer. They are important questions because of the application of polygon, and the related problems of polyomino and polycube counting, to phenomena occurring in the natural world, and also because the study of these problems has been responsible for the development of powerful new techniques in mathematics and mathematical physics, as well as in computer science. These new techniques then find application more broadly. The book brings together chapters from many of the major contributors in the field. An introductory chapter giving the history of the problem is followed by fourteen further chapters describing particular aspects of the problem, and applications to biology, to surface phenomena and to computer enumeration methods
ISBN,Price9781402099274
Keyword(s)1. ALGORITHMS 2. Chemometrics 3. COMBINATORICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Math. Applications in Chemistry 9. Mathematical Methods in Physics 10. Numeric Computing 11. NUMERICAL ANALYSIS 12. PHYSICS 13. STATISTICAL PHYSICS
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17.     
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TitleMeasurement Errors and Uncertainties : Theory and Practice
Author(s)Rabinovich, Semyon G
PublicationNew York, NY, Springer New York, 2005.
DescriptionXII, 308 p. 30 illus : online resource
Abstract NoteMeasurement Errors and Uncertainties addresses the most important problems that physicists and engineers encounter when estimating errors and uncertainty. Building from the fundamentals of measurement theory, the author develops the theory of accuracy of measurements and offers a wealth of practical recommendations and examples of applications. This new edition covers a wide range of subjects, including: - Basic concepts of metrology - Measuring instruments characterization, standardization and calibration -Estimation of errors and uncertainty of single and multiple measurements - Modern probability-based methods of estimating measurement uncertainty With this new edition, the author completes the development of the new theory of indirect measurements. This theory provides more accurate and efficient methods for processing indirect measurement data. It eliminates the need to calculate the correlation coefficient - a stumbling block in measurement data processing - and offers for the first time a way to obtain the confidence intervals. In other words, this new theory provides means to calculate a well-grounded estimate of measurement uncertainty for this complex but widely used type of measurements. Acclaim for previous editions: "Extremely useful to metrologists and to anyone interested in measurement errors" (MEASUREMENT SCIENCE AND TECHNOLOGY) "I suggest that every technical library should own a copy of Measurement Errors. Serious experimentalists whose interests are broad will surely want to examine the book with the intent of buying it". (Applied Mechanics Review)
ISBN,Price9780387291437
Keyword(s)1. BIOMATHEMATICS 2. Chemometrics 3. Computational Intelligence 4. Control engineering 5. Control, Robotics, Mechatronics 6. EBOOK 7. EBOOK - SPRINGER 8. Math. Applications in Chemistry 9. Mathematical and Computational Biology 10. Measurement Science and Instrumentation 11. Measurement?????? 12. Mechatronics 13. PHYSICAL MEASUREMENTS 14. ROBOTICS
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18.     
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TitleDensity Matrix Theory and Applications
Author(s)Blum, Karl
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2012.
DescriptionXVIII, 346 p : online resource
Abstract NoteWritten in a clear pedagogic style, this book deals with the application of density matrix theory to atomic and molecular physics. The aim is to precisely characterize sates by a vector and to construct general formulas and proofs of general theorems. The basic concepts and quantum mechanical fundamentals (reduced density matrices, entanglement, quantum correlations) are discussed in a comprehensive way. The discussion leads up to applications like coherence and orientation effects in atoms and molecules, decoherence and relaxation processes. This third edition has been updated and extended throughout and contains a completely new chapter exploring nonseparability and entanglement in two-particle spin-1/2 systems. The text discusses recent studies in atomic and molecular reactions. A new chapter explores nonseparability and entanglement in two-particle spin-1/2 systems
ISBN,Price9783642205613
Keyword(s)1. Atomic, Molecular, Optical and Plasma Physics 2. ATOMS 3. Chemometrics 4. EBOOK 5. EBOOK - SPRINGER 6. Math. Applications in Chemistry 7. Mathematical Methods in Physics 8. PHYSICAL CHEMISTRY 9. PHYSICS 10. QUANTUM PHYSICS
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19.     
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TitlePatterns and Interfaces in Dissipative Dynamics
Author(s)Pismen, L.M
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXV, 373 p : online resource
Abstract NoteSpontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. Nature creates its variety of forms through spontaneous pattern formation and self-assembly, and this strategy is likely to be imitated by future biomorphic technologies. This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. The introductory chapter on the theory of dynamical systems is written with a view to applications of its powerful methods to spatial and spatio-temporal patterns. It is followed by two chapters treating moving interfaces, based largely on reaction-diffusion and phase-separating systems. The following two chapters on amplitude equations for patterns and waves describe universal phenomena generated by representative equations which can be derived for a variety of non-equilibrium systems originating in fluid mechanics, physical chemistry or nonlinear optics. This book addresses graduate students and non-specialists from the many related areas of applied mathematics, physical chemistry, chemical engineering and biology, as well as the seasoned scientist in search of a modern source of reference
ISBN,Price9783540304319
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Chemometrics 4. Classical and Continuum Physics 5. COMPLEX SYSTEMS 6. Continuum physics 7. DYNAMICAL SYSTEMS 8. EBOOK 9. EBOOK - SPRINGER 10. ENGINEERING MATHEMATICS 11. Math. Applications in Chemistry 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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20.    
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TitleModel Reduction and Coarse-Graining Approaches for Multiscale Phenomena
Author(s)Alexander N Gorban (ed.);Nikolas Kazantzis (ed.);I. G. Kevrekidis (ed.);Hans Christian Ottinger (ed.);Theodoropoulos, Konstantinos
PublicationBerlin, Springer Berlin Heidelberg, 2006.
DescriptionXI, 560 p : online resource
Abstract NoteModel reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. Specific areas of study include dynamical systems, non-equilibrium statistical mechanics, kinetic theory, hydrodynamics and mechanics of continuous media, (bio)chemical kinetics, nonlinear dynamics, nonlinear control, nonlinear estimation, and particulate systems from various branches of engineering. The generic nature and the power of the pertinent conceptual, analytical and computational frameworks helps eliminate some of the traditional language barriers, which often unnecessarily impede scientific progress and the interaction of researchers between disciplines such as physics, chemistry, biology, applied mathematics and engineering. All contributions are authored by experts, whose specialities span a wide range of fields within science and engineering
ISBN,Price9783540358886
Keyword(s)1. Chemometrics 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING 7. Engineering, general 8. Math. Applications in Chemistry 9. MATHEMATICAL PHYSICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. SYSTEM THEORY 13. Systems Theory, Control 14. Theoretical, Mathematical and Computational Physics
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