数学史与数学教育之间的关系（HPM）是数学教育的一个研究领域，研究的课题括：关于“为何”和“如何”的探讨、教育取向的数学史、历史相似性、数学史融入数学教学的实践、HPM与教师专业发展、数学史融入数学教材等。本书全面展示了作者及其研究团队近十年以来在上述各课题上的研究成果。

The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.
Clarifies both traditional methods and current, popular algorithms (e.g. neural nets, random forests)
Written by two world-leading researchers
Addressed to all fields that work with data

微分方程动力系统与混沌导论（第二版），ISBN：9787115172181，作者：（美国）赫希、（美国）斯梅尔 著；甘少波 译

An introductory text in nonlinear dynamics and chaos, emphasizing applications in several areas of science, which include vibrations, biological rhythms, insect outbreaks, and genetic control systems. Contains a rich selection of illustrations, with many exercises and examples. Softcover.

这是一本专门讲述伽罗瓦理论的教材。内容包括伽罗瓦理论基本定理和多项式方程的根式可解性、伽罗瓦群的计算及其反问题，《伽罗瓦理论：天才的激情》强调通过伽罗瓦对应，可将代数数域中的问题转化成群论的问题加以解决。作为这种思想的应用，证明了代数基本定理，解决了e和的超越性及尺规作图的四大古代难题。为方便读者查阅，附录中详细梳理了所要用到的群、环、域方面的结论。每节配有充足的习题并包含提示。
《伽罗瓦理论：天才的激情》可作为高等学校数学类各专业的教材，也可供其他相关专业参考。

Walter Rudin's memoirs should prove to be a delightful read specifically to mathematicians, but also to historians who are interested in learning about his colorful history and ancestry. Characterized by his personal style of elegance, clarity, and brevity, Rudin presents in the first part of the book his early memories about his family history, his boyhood in Vienna throughout the 1920s and 1930s, and his experiences during World War II.
Part II offers samples of his work, in which he relates where problems came from, what their solutions led to, and who else was involved. As those who are familiar with Rudin's writing will recognize, he brings to this book the same care, depth, and originality that is the hallmark of his work.

《数学名著译丛•常微分方程》用现代数学观点阐述常微分方程论中的一些基本问题，《数学名著译丛•常微分方程》共分五章：基本概念，基本理论，线性系统，基本定理的证明和流形上的微分方程，《数学名著译丛•常微分方程》特点是注重几何和定性的考察，并且特别强调在力学中的应用。《数学名著译丛•常微分方程》论述严谨，深入浅出，并有大量图形、例题和问题，书后附有典型练习题，有助于读者深入理解《数学名著译丛•常微分方程》的内容。
《数学名著译丛•常微分方程》可供大学数学系高年级学生、研究生、教师及其他数学工作者参考。

The first two ch

《数学与数学人》是一套国际化的科学普及丛书，我们将邀请当代一流的中外科学家谈他们的数学人生——研究经历和成功经验。活跃在研究前沿的数学家们将会用轻松的文笔，通俗地介绍数学各领域激动人心的最新进展、某些数学专题精彩曲折的发展历史以及数学在现代科学技术中的广泛应用。

《偏微分方程讲义(第3版)》是俄罗斯科学院院士О.А.奥列尼克多年来在莫斯科大学数学力学系为大学三年级学生讲授该课程基础上的扩充。内容包括偏微分方程理论的古典与现代理论的基础部分，以及泛函分析、广义函数理论、函数空间理论方面的一些知识。作者是И.Г.彼得罗夫斯基的学生，在偏微分方程这个方向享有盛名。此书反映了莫斯科大学在这个课程上，20世纪后半叶至今的新情况，可供我国偏微分方程课教学参考。

本书通过大量丰富的实例，帮助读者从基本的常微分方程向更多高级概念(偏微分方程、傅里叶级数和边界值问题等)顺利过渡。作者轻松的语言风格使得书中的材料通俗易懂，尤其适合那些渴望了解更多和更深微积分知识的读者。
本书强调理论与实践相结合，介绍了大量偏微分方程在工程和物理学方面的应用，并且提供了相关数学证明和偏微分方程的原理。此外，本书的每一节后都配备了大量的习题，并提供了注释、图标或重要的公式等，突出了书中的重点与难点，方便读者自学。
本书提倡读者利用计算机辅助学习，旨在使读者更直观，更清晰地理解和掌握书中所讲述的题材。读者可以利用从作者网站上下载的Mathematica文件进行上机实践。
本书系统讲解偏微分方程及其定解问题的求解方法，通过大量实例讨论微分方程解的性质，特别强调傅里叶级数在求解边值问题中的作用。书中配有丰富的例题与习题，还采用“专题问题”较为系统地研究某个具体问题，补充和扩展了正文内容。
本书内容丰富、推导严密，包含大量物理背景，为理解和掌握偏微分方程提供了有效途径。本书可作为高等院校数学及相关专业学生的偏微分方程课程教材，同时也可作为工程技术人员、科技工作者的参考书。

《代数》(第3版)：As I see it, the graduate course in algebra must primarily prepare studentsto handle the algebra which they will meet in all of mathematics: topology,partial differential equations, differential geometry, algebraic geometry, analysis,and representation theory, not to speak of algebra itself and algebraic numbertheory with all its ramifications. Hence I have inserted throughout references topapers and books which have appeared during the last decades, to indicate someof the directions in which the algebraic foundations provided by this book areused; I have accompanied these references with some motivating comments, toexplain how the topics of the present book fit into the mathematics that is tocome subsequently in various fields; and I have also mentioned some unsolvedproblems of mathematics in algebra and number theory. The abc conjecture isperhaps the most spectacular of these.

A nonmeasure theoretic introduction to stochastic processes. Considers its diverse range of applications and provides readers with probabilistic intuition and insight in thinking about problems. This revised edition contains additional material on compound Poisson random variables including an identity which can be used to efficiently compute moments; a new chapter on Poisson approximations; and coverage of the mean time spent in transient states as well as examples relating to the Gibb's sampler, the Metropolis algorithm and mean cover time in star graphs. Numerous exercises and problems have been added throughout the text.

《21世纪数学规划教材·数学基础课系列:点集拓扑与代数拓扑引论》是高等院校数学系本科生拓扑学的入门教材。全书共分五章。第一章介绍拓扑空间和连续映射等基本概念。第二章介绍可数性、分离性、连通性、紧致性等常用点集拓扑性质。第三章从几何拓扑直观和代数拓扑不变量两个角度，综合地介绍了闭曲面的分类。第四章介绍了基本群的概念以及应用。第五章介绍复迭空间的技术。《21世纪数学规划教材·数学基础课系列:点集拓扑与代数拓扑引论》的特点是叙述浅显易懂，并给出了丰富具体的例子，主干内容（不打星号的节）每节均配有适量习题，书末附有习题的提示或解答。

数学与音乐有着怎样的奇妙关系？本书以通俗的语言再现数学与音乐知识的发现思路，从数学、音乐各自角度讲解了两门学科的本质精神，并由此阐释了两者之间的奇妙关联和各自的"创造"的方法。没有复杂拗口的专业术语，用最基本的认知和逻辑创造属于自己的数学与音乐吧！

《从数学观点看物理世界:几何分析、引力场与相对论》是一本关于微分几何与广义相对论的专著，其特点是强调用数学结构和物理现象作为不可分割的统一体去发现和揭示数学与自然奥秘，在这部著作中，提出一种关于暗物质与暗能量的统一理论，它是非表象的理论，可很好地解释暗物质与暗能量现象，《从数学观点看物理世界:几何分析、引力场与相对论》不仅提出和总结了作者的许多新理论和新结果，而且采用直指本质的方式陈述和介绍有关方面成熟的理论与概念。

《高等代数:定理•问题•方法》简介：高等代数与数学分析并称为最重要的数学基础课程，多年来为教育界所公认。学生从高等代数课程中所获得的知识与方法训练，在其后的数学学习与研究中有不可替代的作用。《高等代数:定理•问题•方法》通过800道例题分析，透彻地阐释并系统运用了读者在学习过程中所感觉到的优美的思想与方法，务求读者能真正透彻地弄清一些问题。《高等代数:定理•问题•方法》共分四章，分别为多项式、矩阵与向量、特征值与标准形、内积空间与二次型，每小节以概念与定理、问题与方法的模式进行阐述。