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Statistical Inference Based on Divergence Measuresby Leandro Pardo
CRC Press 2005; US$ 89.95Pardo (statistics and operations research, Complutense U. of Madrid, Spain) analyzes issues of statistical inference, such as estimation and hypotheses testing, using measures of entropy and divergence. He discusses Information Theory, asymptotic behavior of measure of entropy in solving statistical problems, statistical analysis of discrete multiv more...
The Cauchy-Schwarz Master Classby J. Michael Steele
Cambridge University Press 2004; US$ 29.00Using the Cauchy-Schwarz inequality as a guide, the author presents a fascinating collection of problems related to inequalities and coaches readers through solutions. Undergraduate and beginning graduate students in mathematics, theoretical computer science, statistics, engineering, and economics will find the book perfect for self-study or as a supplement to probability and analysis courses. more...
Mathematical Inequalitiesby B. G. Pachpatte
Elsevier 2005; US$ 255.00The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics. * It contains a variety of inequalities which find numerous applications in various branches of mathematics. * It contains many inequalities which have only recently appeared in the literature and cannot yet be found in other books. * It will be a valuable reference for someone requiring a result about inequalities for use in some applications in various other branches of mathematics. * Each chapter ends with some miscellaneous inequalities for futher study. * The work will be of interest to researchers working both... more...
Probabilistic Applications of Tauberian Theoremsby Arsen L. Yakimiv
Walter de Gruyter, Inc. 2005; US$ 220.00The Tauberian theory has found a widespread application in probability theory. Despite the strong interest of probabilists in Tauberian theorems, no book specially devoted to this topic has been published yet. This monograph is intended to fill this gap. more...
Inequalitiesby D. J. H. Garling
Cambridge University Press 2007; US$ 45.00Contains a wealth of inequalities used in linear analysis, explaining in detail how they are used. more...
Inequalities for Differential and Integral Equationsby William F. Ames; B. G. Pachpatte
Elsevier 1997; US$ 130.00Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Key Features * Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential... more...
Functional Inequalities Markov Semigroups and Spectral Theoryby Fengyu Wang
Elsevier 2006; US$ 118.00In this book, the functional inequalities are introduced to describe: (i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap; (ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density; (iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality. more...
Eisenstein Series and Applicationsby Wee Teck Gan; Stephen S. Kudla; Yuri Tschinkel
Springer 2008; US$ 79.95Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. Introducing the users of Eisenstein series to important applications, this work focuses on the common structural properties of Eisenstein series, along with the consideration of key problems in the field. more...
The Rise and Development of the Theory of Series Up to the Early 1820sby Giovanni Ferraro
Springer 2008; US$ 134.00Provides an account of the theory of series in the eighteenth and early nineteenth centuries. This manuscript presents the subject from the viewpoint of the mathematicians of the period. more...
Handbook of Continued Fractions for Special Functionsby Annie Cuyt
Springer 2008; US$ 119.00Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the... more...









