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A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition
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Asymptotic Statistics
This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master's level statistics text, this book will also give researchers an overview of research in asymptotic statistics. -
非线性泛函分析及其应用 第3卷 《变分法及最优化》
《非线性泛函分析及其应用,第3卷,变分法及最优化》内容简介:自1932年,波兰数学家Banach发表第一部泛函分析专著“Theorie des operations lineaires”以来,这一学科取得了巨大的发展,它在其他领域的应用也是相当成功。如今,数学的很多领域没有了泛函分析恐怕寸步难行,不仅仅在数学方面,在理论物理方面的作用也具有同样的意义,M.Reed和B.Simon的“Methods of Modern MathematicalPhysjcs”在前言中指出:“自1926年以来,物理学的前沿已与日俱增集中于量子力学,以及奠定于量子理论的分支:原子物理、核物理固体物理、基本粒子物理等,而这些分支的中心数学框架就是泛函分析。” -
Lectures on Riemann Surfaces (Graduate Texts in Mathematics)
This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. From the reviews: "This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces."--MATHEMATICAL REVIEWS -
Geometric Folding Algorithms
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers. -
线性代数
《线性代数(第2版)(英文影印版)》是Kenneth Hoffman《线性代数》第2版。本版在第1版的基础上作了一些增加和改进,尤其是在典范式和内积空间的讲述上做了较大的改变。作者从线性代数的最基本知识开始讲述了典范型、内积空间、双线性型、复内积空间以及谱理论。书中许多定理的证明非常完整,受到广大数学学者的赞赏,并且非常适合初学者学习理解。对偶空间和张量在《线性代数(第2版)(英文影印版)》同时讲解,这也是《线性代数(第2版)(英文影印版)》的一大特色。