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Linear regression with one predictor variable; Inferences in regression and correlation analysis; Diagnosticis and remedial measures; Simultaneous inferences and other topics in regression analysis; Matrix approach to simple linear regression analysis; Multiple linear regression; Nonlinear regression; Design and analysis of single-factor studies; Multi-factor studies; Specialized study designs.
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First Published in 2018. It is now some fifteen years since Structural Stability and Morphogenesis was first published in the French edition. The purely mathematical theory of singularities of smooth maps has developed tremendously in that time, however, the main interest of this book lies not in its mathematics, but in the methodological perspective opened up by Catastrophe Theory models.
This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."—A. Rosenberg, Mathematical Reviews
In Figuring Space Gilles Châtelet seeks to capture the problem of intuition of mobility in philosophy, mathematics and physics. This he does by means of virtuality and intensive quantities (Oresme, Leibniz), wave-particle duality and perspective diagrams, philosophy of nature and Argand's and Grassman's geometric discoveries and, finally, Faraday's, Maxwell's and Hamilton's electrophilosophy. This tumultuous relationship between mathematics, physics and philosophy is presented in terms of a comparison between intuitive practices and Discursive practices. The following concepts are treated in detail: The concept of virtuality; thought experiments; diagrams; special relativity; German Naturphilosophie and `Romantic' science. Readership: The book does not require any considerable mathematical background, but it does insist that the reader quit the common instrumental conception of language. It will interest professional philosophers, mathematicians, physicists, and even younger scientists eager to understand the `unreasonable effectiveness of mathematics'.
Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras. After the module-theoretic foundations are laid in the first chapter, the focus is primarily on characters. This enhances the accessibility of the material for students, which was a major consideration in the writing. Also with students in mind, a large number of problems are included, many of them quite ch...
This widely acclaimed text demonstrates the application of developmental approaches to career guidance and counseling for children, adolescents, and adults across a variety of settings, including schools, businesses, and community agencies.
Starting point of this book is the observation that an increase in public debt must be accompanied by a rise in the primary surplus of the government to guarantee sustainability of public debt. The book first elaborates on that principle from a theoretical point of view and then tests whether empirical evidence for that rule can be found. Additional tests are implemented to gain further evidence on sustainability of public debt. In order to allow for time varying coefficients penalized spline estimations are performed. The theoretical chapters present endogenous growth models and assume that the primary surplus rises as public debt increases so that sustainability of public debt is given. Implications of public deficits and debt are studied assuming full employment and for unemployment. The conclusion summarizes the findings and compares the results of the different models. Finally, policy implications are given showing how governments should deal with high public debt to GDP ratios.