欢迎来到相识电子书!

标签:数学

  • Measure Theory

    作者:Paul R. Halmos

  • 集合与对应

    作者:单墫

    《数学奥林匹克命题人讲座:集合与对应》分为两个部分,第一部分为集合,第二部分为对应,由以前写的两本小册子《集合及其子集》与《对应》合并后经适当修订而成。 集合论,是全部数学的基础。数学大师康托尔(Cantor)建立了基数、序型等重要概念,将研究从有限集推进到无限集,创立了集合论这一数学分支。近30年来,随着组合数学的蓬勃发展,关于有限集及其子集族,又有很多的研究,得出了很多重要而且优美的结果。“对应”也是一个极基本的数学概念。
  • 拓扑学

    作者:亚尼齐

    《拓扑学(英文版)》是一部本科生学习拓扑空间的基础教程。引导读者很好的学习拓扑中有关几何的东西什么是最重要的。《拓扑学(英文版)》的内容分为三大部分,线和面、矩阵空间和拓扑空间,这些都将是为更进一步学习打下良好的基础,在讲解所熟悉领域的同时,自然而然地透露书不少新的知识点。
  • Number Theory

    作者:André Weil

    This book presents a historical overview of number theory. It examines texts that span some thirty-six centuries of arithmetical work, from an Old Babylonian tablet to Legendre's Essai sur la Theorie des Nombres, written in 1798. Coverage employs a historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. The book also takes the reader into the workshops of four major authors of modern number theory: Fermat, Euler, Lagrange and Legendre and presents a detailed and critical examination of their work.
  • 微积分快餐

    作者:林群

    《走进教育数学:微积分快餐(第2版)》通过一个现实例子,直接引入微积分的最基本的概念——微分法和积分法,利用直接的计算给出微积分的主要内容,称之为直来直去的微积分。微积分最有用和急需的有两张表——导数表和积分表怎么得到的过去的证明又长又深陷入泥潭,但《走进教育数学:微积分快餐(第2版)》另择渠道,把证明复杂度降到几步高中数学,又短又浅,是教学的巨变,也圆了微积分高中化之梦! 一举攻破两张表后还不够,大学专业或考研的学生要学更多(包括微分方程、多元微积分及抽象微积分)。这时,高中数学已不够用,必须有极限以及更高深的方法参战,《走进教育数学:微积分快餐(第2版)》只是按浅到深、急到缓顺序出场,概念能少就少,证明越浅越好,不误用不添乱,到了该出手才出手。 书中还对比了微积分教学的过去和现在。
  • Compact Riemann Surfaces

    作者:Jürgen Jost

  • Topology (2nd Economy Edition)

    作者:James Munkres

  • 数学物理方法

    作者:姚端正//梁家宝

    本书是普通高等教育“十一五”国家级规划教材,也是国家精品课程配套教材,由作者在总结多年教学经验的基础上编写而成。 本书本着去粗取精、更新拓宽的思想科学地组织内容。全书突出物理背景、前景和物理意义,密切结合物理实例,特别注重与后续课的联系,并增加了传统教材中没有的非线性方程和小波变换等内容。全书分为复变函数论(第一篇)、数理方程(第二篇)和特殊函数第三篇)三个部分,在每章后都有小结,每小节后都附有习题,以加深和扩大知识的深度和广度,培养学生分析问题、解决问题的能力和创新能力。 本书可作为高等院校物理专业本科生的教材,也可供相关专业的研究生、教师和科技人员参考使用。
  • 神经科学Matlab教程

    作者:Pascal Wallisch,Mich

    《神经科学研究与进展•神经科学MATLAB教程:MATLAB科学计算导论(英文)(导读版)》内容简介:作为科学计算的数学软件,Matlab被广泛应用于几乎所有的神经科学和认知心理学实验室。《神经科学研究与进展•神经科学MATLAB教程:MATLAB科学计算导论(英文)(导读版)》介绍了Matlab的基础原理和基本程序设计、数据搜集与实验控制、数据分析与建模,帮助使用者解决各种计算问题。作者并非将Matlab单纯视为程序设计语言,而是将其作为解决神经科学实际问题的工具。
  • Mathematical Statistics with Applications

    作者:Dennis Wackerly,Will

    In their bestselling MATHEMATICAL STATISTICS WITH APPLICATIONS, premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps you discover the nature of statistics and understand its essential role in scientific research.
  • 计算复杂性

    作者:Oded Goldreich

    《计算复杂性(英文版)》是理论计算机科学领域的名著。书中对计算任务的固有复杂性研究进行了一般性介绍,涉及了复杂性理论的很多子领域,涵盖了NP完整性、空间复杂性、随机性和计数、伪随机数生成器等内容,还在附录里面给出了现代密码学基础等内容。 《计算复杂性(英文版)》内容严谨,可读性强,适合作为高年级本科生、研究生的教材,对涉及计算复杂性的专业人员也是理想的技术参考书。
  • A Mathematician's Apology

    作者:G. H. Hardy

    G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.
  • A Concise Course in Algebraic Topology

    作者:May, J. Peter

    Algebraic topology is a basic part of modern mathematics and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry and Lie groups. This book provides a treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology and the book concludes with a list of suggested readings for those interested in delving further into the field.
  • Advanced Linear Algebra (Third Edition)

    作者:Roman, Steven

    This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.
  • Lectures on Linear Algebra

    作者:I. M. Gel'fand

    Prominent Russian mathematician's concise, well-written exposition considers: n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, introduction to tensors, more. Not designed as an introductory text. 1961 edition.
  • Algebraic Topology

    作者:J.F.Adams

    This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles.