Series: Monographs in Mathematics, Preliminary entry 200
2011, 600 p., Hardcover
ISBN: 978-3-0346-0536-6
Due: November 2010
Offers a systematic investigation of general elliptic problems applicable both for bounded and unbounded domains
Includes a focus on unbounded domains, which has not been sufficiently presented in the existing literature
Gives a mostly self-contained presentation of the results
The theory of elliptic partial differential equations develops during about two centuries together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications. It remains one of the most rapidly developing fields of mathematics. The theory of general elliptic problems is presented in the first volume of the book. A priori estimates, normal solvability and Fredholm property, index, operators with a parameter, nonlinear Fredholm operators are discussed. A particular attention is brought to elliptic problems in unbounded domains which are not yet sufficiently well presented in the existing literature and which require some special approaches. The second volume is devoted to reaction-diffusion equations. Existence and bifurcations of solutions, travelling waves, spectral properties and other questions are studied in relation with numerous applications in chemical physics, biology and medicine.
Series: Operator Theory: Advances and Applications, Preliminary entry 210
2011, 400 p., Hardcover
ISBN: 978-3-0346-0547-2
Due: December 2010
The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.
Preface.- The life and work of Nikolai Vasilevski.- On the structure of the eigenvectors of large Hermitian Toeplitz band matrices.- Complete quasi-wandering sets and kernels of functional operators.- Lionsf lemma, Kornfs inequalities and the Lame operator on hypersurfaces.- On the Bergman theory for solenoidal and irrotational vector fields, I: General theory.- Weighted estimates of generalized potentials in variable exponent Lebesgue spaces on homogeneous spaces.- Wiener-Hopf operators with oscillating symbols on weighted Lebesgue spaces.- On the Ill-posed hyperbolic systems with a multiplicity change point of not less than the third order.- On C*-algebras of super Toeplitz operators with radial symbols.- Universality of some C*-algebra generated by a unitary and a self-adjoint idempotent.- Commutative algebras of Toeplitz operators and Lagrangian foliations.- Exponential estimates of eigenfunctions of matrix Schrodinger and Dirac operators.- The Laplace-Beltrami operator on a rotationally symmetric surface.- On the structure of operators with automorphic symbols.- Hilbert bundles and flat connexions over Hermitian symmetric domains.
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ISBN: 978-1-4398090-8-2
Publish Date: 15th October 2010
Pages: 480 pages
Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Often referred to as distribution-free methods, nonparametric methods do not rely on assumptions that the data are drawn from a given probability distribution. With an emphasis on Wilcoxon rank methods that enable a unified approach to data analysis, this book presents a unique overview of robust nonparametric statistical methods. Drawing on examples from various disciplines, the relevant R code for these examples, as well as numerous exercises for self-study, the text covers location models, regression models, designed experiments, and multivariate methods. This edition features a new chapter on cluster correlated data.
One Sample Problems. Two Sample Problems. Regression. Experimental Designs. Cluster Correlated Data. Multivariate Data. Appendix.
ISBN: 978-1-84169-890-8
ISBN: 978-1-84169-891-5 soft cover
Publish Date: 22nd April 2010
Pages: 536 pages
This best-seller introduces readers to structural equation modeling (SEM) so they can conduct their own analysis and critique related research. Noted for its accessible, applied approach, chapters cover basic concepts and practices and computer input/output from the free student version of Lisrel 8.8 in the examples. Each chapter features an outline, key concepts, a summary, numerous examples from a variety of disciplines, tables, and figures, including path diagrams, to assist with conceptual understanding.
The book first reviews the basics of SEM, data entry/editing, and correlation. Next the authors highlight the basic steps of SEM: model specification, identification, estimation, testing, and modification, followed by issues related to model fit and power and sample size. Chapters 6 through 10 follow the steps of modeling using regression, path, confirmatory factor, and structural equation models. Next readers find a chapter on reporting SEM research including a checklist to guide decision-making, followed by one on model validation. Chapters 13 through 16 provide examples of various SEM model applications. The book concludes with the matrix approach to SEM using examples from previous chapters.
1. Introduction. 2. Data Entry and Data Editing Issues. 3. Correlation. 4. SEM Basics. 5. Model Fit. 6. Regression Models. 7. Path Models. 8. Confirmatory Factor Models. 9. Developing Structural Equation Models: Part I. 10. Developing Structural Equation Models: Part II. 11. Reporting SEM Research: Guidelines and Recommendations. 12. Model Validation. 13. Multiple Sample, Multiple Group, and Structured Means Models. 14. Second Order, Dynamic, and Multi Trait Multi Method Models. 15. Multiple Indicator Multiple Indicator Cause, Mixture, and Multi-Level Models. 16. Interaction, Latent Growth, and Monte Carlo Methods. 17. Matrix Approach to Structural Equation Modeling.
ISBN: 978-1-4398101-8-7
Publish Date: 15th October 2010
Pages: 300 pages
Series: Chapman & Hall/CRC Data Mining and Knowledge Discovery Series
This book provides a self-contained introduction to the use of R for exploratory data mining and machine learning. Employing a practical, learn-by-doing approach, the author presents a series of representative case studies from ecology, financial prediction, fraud detection, and bioinformatics, including all of the necessary steps, code, and data. These examples demonstrate how to address important data mining issues, such as handling data sets with too many variables, and illustrate key concepts, including outlier detection and semisupervised learning. A supporting web page provides additional code and data for further study.