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Probability For Analysts
This book will enable researchers and students of analysis to more easily understand research papers in which probabilistic methods are used to prove theorems of analysis, many of which have no other known proofs. The book assumes a course in measure and integration theory but requires little or no background in probability theory. It emplhasizes topics of interest to analysts, including random series, martingales and Brownian motion.
New Lepidium (Brassicaceae) from New Zealand
The vascular flora of New Zealand contains an estimated 2400 species of indigenous plant, of which a staggering 83% are endemic. Nevertheless, despite the 244 years of botanical exploration there are still many flowering plants left to formally describe from New Zealand. In this issue of PhytoKeys the diversity of the endemic Cook’s Scurvy grass (Lepidium oleraceum) is subjected to a modern taxonomic treatment, recognising in the process ten new endemic species, and accepting six others described by past workers. This issue includes detailed descriptions for all 16 Lepidium species and discusses their ecology, ethnobotany and conservation status. A dichotomous key to the naturalised and indigenous Lepidium of the New Zealand archipelago is also provided.
Probability
This is a textbook for a one-semester graduate course in measure-theoretic probability theory, but with ample material to cover an ordinary year-long course at a more leisurely pace. Khoshnevisan's approach is to develop the ideas that are absolutely central to modern probability theory, and to showcase them by presenting their various applications. As a result, a few of the familiar topics are replaced by interesting non-standard ones. The topics range from undergraduate probability and classical limit theorems to Brownian motion and elements of stochastic calculus. Throughout, the reader will find many exciting applications of probability theory and probabilistic reasoning. There are numerous exercises, ranging from the routine to the very difficult. Each chapter concludes with historical notes.
CALCULUS
CONTENT -Review of limits, continuity, differentiability. Mean Value Theorem, Taylor Theorem, Maxima and Minima. Riemann integrals, Fundamental theorem of Calculus, Improper integrals, application to area, volume. Convergence of sequences and series, power series. Partial Derivatives, gradient and directional derivatives, chain rule, maxima and minima, Lagrange multipliers. Double and triple integration, Jacobians and change of variables formula. Parametrization of curves and surfaces, vector _elds, line and surface integrals. Divergence and curl, theorems of Green, Gauss, Stokes.
Analytical Instrumentation Handbook
Compiled by the editor of Dekker's distinguished Chromatographic Science series, this reader-friendly reference is as a unique and stand-alone guide for anyone requiring clear instruction on the most frequently utilized analytical instrumentation techniques. More than just a catalog of commercially available instruments, the chapters are wri
Topics in Geometry, Coding Theory and Cryptography
The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles.
Associated Sequences, Demimartingales and Nonparametric Inference
This book gives a comprehensive review of results for associated sequences and demimartingales developed so far, with special emphasis on demimartingales and related processes. Probabilistic properties of associated sequences, demimartingales and related processes are discussed in the first six chapters. Applications of some of these results to some problems in nonparametric statistical inference for such processes are investigated in the last three chapters.
Theory and Applications of Models of Computation
This book constitutes the refereed proceedings of the 4th International Conference on Theory and Applications of Models of Computation, TAMC 2007, held in Shanghai, China in May 2007. It addresses all major areas in computer science; mathematics, especially logic; and the physical sciences, particularly with regard to computation and computability theory. The papers particularly focus on algorithms, complexity and computability theory.
