数学
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模式识别 Pattern recognitionBernd Rading,Stefan Florczyk 著This edition includes discussion of Bayesian classification, Bayesian networks, linear and nonlinear classifier design (including neural networks and support vector machines), dynamic programming and hidden Markov models for sequential data, feature generation (including wavelets, principal component analysis, independent component analysis and fractals), feature selection techniques, basic concepts from learning theory, and clustering concepts and algorithms. This book considers classical and current theory and practice, of both supervised and unsupervised pattern recognition, to build a complete background for professionals and students of engineering. -
形状生成理论Michael Leyton 著In this book, the author develops a generative theory of shape with two properties fundamental to intelligence: maximizing transfer of structure, and maximizing recoverability of generative operations. The theory is applied in considerable detail to CAD, perception, and robotics. A significant aspect of this book is the development of an object-oriented theory of geometry. This includes a group-theoretic formulation of object-oriented inheritance. In particular, a class of groups is developed called "unfolding groups", which define any complex shape as unfolded from a maximally collapsed version of itself called an "alignment kernel". The group is decomposed into levels corresponding to the inheritance hierarchy within the complex object. This achieves one of the main goals of the theory - the conversion of complexity into understandability. The advantages of the theory are demonstrated with lengthy studies of robot manipulators, perceptual organization, constructive solid geometry, assembly planning, architectural CAD, and mechanical CAD/CAM. -
矩阵博士的魔法数(美)马丁·加德纳(Martin Gardner)著;谈祥柏译美国虽然是个高度现代化的国家,但社会上述信之风甚盛。总统选举,奥斯卡金像奖提名,好莱坞红星的预卜,甚至馈赠一件特异的生日礼品,也会去征求巫师的意见。占星术、骨相学、传心术、掌纹算命、圣经占卜法、瑜伽学、看水晶球……纷纷出现,真是洋洋大观,无奇不有。马丁·加德纳所写的矩阵博士长篇连载,之所以能在世界著名高级科普杂志《科学美国人》上连续刊载,长达20年之久,这充分说明了杂志主编的犀利眼光:在当今美国社会,破除现代迷信仍是一项应当长期坚持不懈的事业。另一方面,连载文章始终拥有大量读者,也充分证明文章的针对性很强,能够切中时弊,从而受到社会各阶层人士的普遍欢迎。本书的重点是反对与批判数字迷信的。数字迷信在世界各国都以不同的面貌出现,例如日本的“数秘术”,中国的“术数”等。本书是加德纳的另一部杰作。他写这本书是使出了浑身解数的,在写作风格上,也与他的其他许多作品有异。原则只有一个:站在迷信的对立面,始终不遗余力地抨击、揭露、批判和破除各式各样的诡计与花招,对伪科学也毫不留情。但是,加德纳先生用了一种非常独特的笔法,即欲擒故纵。欲抑先扬的办法。故意先把书中的主人公矩阵博士吹得天花乱坠,神乎其神,然后又翻开他的底牌,揭露其骗局,把他的戏法放在光天化日之下曝光。这种高明的创作技巧与富有幻想的情节,着实要比苍白无力的“批判”有力得多,也更切合美国的国情。就这点而论,它倒是很像鲁迅先生在《中国小说史》中所得到的晚清谴责小说,例如《官场现形记》与《二十年目睹之怪现状》等嬉笑怒骂皆成文章的作品。 -
寄情科学饶忠华主编本书是中国科普佳作百年选中的《寄情科学》,书中共分“文豪放言”、“寻幽探胜”、“生命物语”、“品味人生”、“绿色风情”、“科学之美”六部分,收录了我国著名的文字家茅盾、王蒙、黄宗英等人所作科普文章。 本书内容丰富,文笔生动流畅,融科学性、知识性及可读性于一体,非常值得一读。 -
Theory and Applications of Higher-Dimensional Hadamard MatricesYang Yi XianThis is the first book on higher-dimensional hadamard matrices and their application in telecommunictions and information security .It is divided into three parts according to the dimensional walsh and Hadamard matrices .Fast algorithms,updated constructions,existence results,and their generalised forms are presented. The second part deals with the lower-dimenstional cases,e.g.3-,4-,and 6- dimensional Walsh and Hadamard matrices and transforms.One of the aims of this part is to simplify moving smoothly from 2-dimensional cases to the general higher-dimensional cases.This part concentrates on the 3-dimensional Hadamard and Walsh matrices.Constructions based upon direct multiplication,and upon recursive methods,perfect binary arrays are also introduced.Another important topic is the existence and construction of 3-dimensional Hadamard matrices of orders 4k and 4k +2 respectively,and a group of transforms based on 2-,3-,4-and 6-dimensional walsh-Hadamard matrices and their corresponding fast algorithms.The third part is the key part,which investigates the N-dimensional Hadamard matrices of order 2,which have been proved equivalent to the well known H-Boolean functions and the perfect binary arrays of order 2.This equivalence motivates a group of perfect results about the enumeration of higher-dimensional Hadamard matrices of order 2. Applications of these matrices to feed forward networking ,stream cipher,Bent functions and error correction cods are presented in turn.after introducing the definitions of the regular,proper,improper,and generalised higher-dimensional Hadamard matrices ,many theorems about the existence and constructions are presented.Perfect binary arrays,generalised perfect arrays,and the orthogonal desgns are also used to construct new higher-dimensional Hadamard matrices.The many open problems in the study of the theory of higher-dimensional Hadamard matrices which are also listed in the book will encourage further research.Audience This volume will appeal to researchers and graduate students whose work involves signal processing,coding,information security and applied discrete mathematics. -
师从天才(美)罗伯特·卡尼格尔(Robert Kanigel)著;江载芬,闫鲜宁,张新颖译编辑推荐:本书关注的是现代科学中的师承关系链及其影响。作者罗伯特·卡尼格尔在书中把我们带进了一个充满智慧、趣味、竞争和创新的奇妙的科研王朝,展现了一个由美国国立卫生研究院(NIH)和约翰斯·霍普金斯大学的著名科学家群体构筑的世界,他们通过半个多世纪来在生物医学科学领域内的突破性贡献,赢得了拉斯克奖及诺贝尔奖。 -
动力系统基础及其方法陈绥阳,褚蕾蕾编著动力系统(DynamicalSystem)是拓扑空间上连续自映射迭代生成的系统。本书重点阐述拓扑动力系统(含符号动力系统、分形动力系统),微分动力系统和无穷维动力系统的基础理论知识与基本研究方法。这一理论与方法,已广泛而深入地应用于数学、统计学、物理、力学、信息与计算科学,以及许多工程领域。本书可作为数学类各专业的研究生教材,也可供以上相关专业的高年级学生及教学、科研人员参考。 -
大学数学王国荣主编大学数学(二)是培养本科学历小学教师(理科方向)使用的高等数学教材。目的是使他们具有较为坚实的数学分析基础知识。作为一元函数微积分的提高,我们在本书前三章编写了极限续论、无穷级数和微分方程,在本书的后四章编写了多元函数微积分的有关内容。前三章与后四章内容基本独立,可以根据教学时数或教学需要,直接进入后四章学习。 -
经济管理数学王孝成主编《经济管理数学》函数、极限与连续、导数与微分、中值定理与导数的应用、不定积分、定积分、多元函数微积分、无穷级数、微分方程初步等9章。每章附有习题。书末附有习题参考答案。 -
数学辞海《数学辞海》编辑委员会编《数学辞海》是当今世界最系统、最完备的大型学术性数学工具书,它是由大陆、台、港200余所院校和科研单位的1500余名专家教授(其中包括中国科学院院士30余人,博士生导师400余人),历时18年集体编纂而成的。全书包括100余个分支学科或专题项目,约1360万字,共分6卷,内容涵盖古今中外5000年的全部数学成果。其规模是前苏联同类辞书的2倍,是日本同类辞书的4倍。该书词条定义科学、准确,文字叙述简明、通俗,并具有实用性强及查找方便等特点。它是数学教师和科技工作者必备的工具书,也是教学专业学生、研究生、理工科大学生、中学生及数学爱好者难得的百科全书。
