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Selected Papers
This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".
Approximation Theory
Proceedings of the Conference jointly organized by the Mathematical Institute of the Polish Academy of Science and the Institute of Adam Mickiewicz University, held in Poznan, 22-26 August 1972
Splines and Variational Methods
One of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra. Its self-contained treatment explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. The text’s first half concerns approximation theoretic notions, exploring the theory and computation of one- and two-dimensional polynomial and other spline functions. Later chapters examine variational methods in the solution of operator equations, focusing on boundary value problems in one and two dimensions. Additional topics include least squares and other Galerkin methods. Many helpful definitions, examples, and exercises appear throughout the book. A classic reference in spline theory, this volume will benefit experts as well as students of engineering and mathematics.
Early Breast Cancer
First Prize, BMA Medical Book Awards 2013Breast cancers are now detected earlier and are thus more likely to be confined to the breast itself and regional nodes. Many of these tumours will have minimal proclivity for hematogenous dissemination and formation of micrometastases. On the other hand, some patients have micrometastatic diseases which can
Time Series, Fuzzy Analysis and Miscellaneous Topics
Professor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, m...
Cancer Biology Review
Utilizing the teaching value of real-world case discussions, Cancer Biology Review presents the principles of cancer biology in a clear and memorable manner, allowing the clinician to relate the cases shown in the book to those seen in practice. Focusing on ten topics in cancer biology for which there have been major changes in fundamental understanding, the authors provide a concise overview of the principles of each topic, followed by presentation of clinical cases illuminating the topic and detailed discussions. Summaries and key teaching points are highlighted at the end of each chapter to facilitate quick recall and review. The chapter authors are established translational experts in th...
Spline Functions
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Methods of Shape-preserving Spline Approximation
This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.
Advanced Mathematics and Mechanics Applications Using MATLAB
Since its introduction in 1984, MATLAB's ever-growing popularity and functionality have secured its position as an industry-standard software package. The user-friendly, interactive environment of MATLAB 6.x, which includes a high-level programming language, versatile graphics capabilities, and abundance of intrinsic functions, helps users focus on
