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Classical and Modern Methods in Summability
Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics. It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven decades. The present book aims to introduce the reader to the wide field of summability and its applications, and provides an overview of the most important classical and modern methods used. Part I contains a short general introduction to summability, the basic classical theory concerning mainly inclusion theorems and theorems of the Silverman-Toeplitz type, a presentation of the most important classes ...
Topics in Multivariate Approximation
Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combinati...
Inequalities and Applications
World Scientific Series in Applicable Analysis (WSSIAA) reports new developments of a high mathematical standard and of current interest. Each volume in the series is devoted to mathematical analysis that has been applied, or is potentially applicable to the solution of scientific, engineering, and social problems. The third volume of WSSIAA contains 47 research articles on inequalities by leading mathematicians from all over the world and a tribute by R.M. Redheffer to Wolfgang Walter ? to whom this volume is dedicated ? on his 66th birthday.Contributors: A Acker, J D Aczl, A Alvino, K A Ames, Y Avishai, C Bandle, B M Brown, R C Brown, D Brydak, P S Bullen, K Deimling, J Diaz, ? Elbert, P...
Linear-Scaling Techniques in Computational Chemistry and Physics
"Linear-Scaling Techniques in Computational Chemistry and Physics" summarizes recent progresses in linear-scaling techniques and their applications in chemistry and physics. In order to meet the needs of a broad community of chemists and physicists, the book focuses on recent advances that extended the scope of possible exploitations of the theory. The first chapter provides an overview of the present state of the linear-scaling methodologies and their applications, outlining hot topics in this field, and pointing to expected developments in the near future. This general introduction is then followed by several review chapters written by experts who substantially contributed to recent develo...
Handbook of Magnetic Materials
Volume 15 of the Handbook on the Properties of Magnetic Materials, as the preceding volumes, has a dual purpose. As a textbook it is intended to be of assistance to those who wish to be introduced to a given topic in the field of magnetism without the need to read the vast amount of literature published. As a work of reference it is intended for scientists active in magnetism research. To this dual purpose, Volume 15 of the Handbook is composed of topical review articles written by leading authorities. In each of these articles an extensive description is given in graphical as well as in tabular form, much emphasis being placed on the discussion of the experimental material in the framework of physics, chemistry and material science. It provides the readership with novel trends and achievements in magnetism.
A History of Ancient Philosophy I
Beginning with the origins of Western philosophy, the profound creation of the Hellenic genius, Reale presents an appreciation of the Naturalists, the Sophists, Socrates, and the Minor Socratics. Special attention is paid to the Eleatics because their problems decisively mark Platonic and Aristotelian philosophy. Interpretation of the Sophists benefits from the recent reevaluation of their thought. Socrates himself would be inconceivable without the Sophists since he is one of them. Socrates is given major prominence. Plato, Aristotle, and all of Hellenistic philosophy are deeply impregnated with his words and spirit. The teachings of the Minor Socratics are interpreted as one-sided reductions of the pluralistic values of Socratic thought and as anticipations of some issues that explode later in the Hellenistic Age. There are two appendices. The first concerns Orphism and contains a series of documents indispensable for the comprehension of some aspects of pre-Socratic and Platonic thought. The second explains the key to understanding the message of the Greeksthe message of theorein.
Summability Through Functional Analysis
Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.
Factors Influencing Mammalian Kidney Development: Implications for Health in Adult Life
In this monograph the authors have emphasized a number of important concepts in mammalian kidney development. Emphasis has been put on methodology so that the reader can understand how certain results or conclusions were reached and what the optimal methods for reliable results to be obtained are. In addition, as well as descriptions of the morphology there is information on the genetic basis of the structural development. In addition much attention has been paid to how nephron number may be altered by changes in the environment of the developing kidney and to the consequences for the remaining nephron gene expression and kidney function when total nephron number is altered. The consequences for the health of the adult, upon the formation of an adult kidney with altered nephron number and (potentially) gene expression, can be quite serious. The epigenetic mechanisms by which such changes can occur are introduced as a very fertile field for future investigation.
Intelligent Mathematics: Computational Analysis
Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This monograph includes a great variety of topics of Computational Analysis. We present: probabilistic wavelet approximations, constrained abstract approximation theory, shape preserving weighted approximation, non positive approximations to definite integrals, discrete best approximation, approximation theory of general Picard singular operators including global smoothness preservation property, fractional singular operators. We also deal with non-isotropic general Picard singu...
