《进化算法的模式、涌现与困难性研究》旨在系统地介绍进化算法的模式、涌现与困难性等若干问题的理论研究和典型应用，共分为7章内容。
首先，建立了进化计算的统一框架和进化算子的统一表示。其次，将建筑块的思想推广到整个进化计算领域，得到了准确的模式公式、模式的形式不变性和变长度的模式公式。证明了满足一定条件的有限群体遗传算法构成Devaney意义下的混沌。提出了一种可以直接测试适应值曲面特征的排序统计分析方法；分析了遗传算法适应值曲面的复杂程度，提出了基于随机游走模型的适应值曲面关联维数测试方法。最后，提出了一种改进的子群遗传算法，并将其应用于多模态函数的优化求解。
《进化算法的模式、涌现与困难性研究》可以作为管理科学和信息技术专业的研究生教材，亦可作为有关科研人员和工程技术人员的参考用书。

A fascinating memoir from the man who revitalized visual geometry, and whose ideas about fractals have changed how we look at both the natural world and the financial world.
Benoit Mandelbrot, the creator of fractal geometry, has significantly improved our understanding of, among other things, financial variability and erratic physical phenomena. In The Fractalist, Mandelbrot recounts the high points of his life with exuberance and an eloquent fluency, deepening our understanding of the evolution of his extraordinary mind. We begin with his early years: born in Warsaw in 1924 to a Lithuanian Jewish family, Mandelbrot moved with his family to Paris in the 1930s, where he was mentored by an eminent mathematician uncle. During World War II, as he stayed barely one step ahead of the Nazis until France was liberated, he studied geometry on his own and dreamed of using it to solve fresh, real-world problems. We observe his unusually broad education in Europe, and later at Caltech, Princeton, and MIT. We learn about his thirty-five-year affiliation with IBM’s Thomas J. Watson Research Center and his association with Harvard and Yale. An outsider to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden laws governing utter roughness, turbulence, and chaos.
Here is a remarkable story of both the man’s life and his unparalleled contributions to science, mathematics, and the arts.

本书讲述了丘成桐从中国乡村的贫穷少年成长为举世闻名的世界级数学家的励志故事。困顿清苦的童年，艰苦卓绝的异国求学路，初入数学界的一鸣惊人，名声大噪后的风起云涌，对中国基础科学建设的拳拳之心……攀登科学高峰，拨开浮华迷雾，丘成桐直面盛誉、无惧挑战，讲述触动人心的传奇人生。
书中特别收录丘成桐原创诗词赋文，学贯中西、融通文理，尽显大家风范。他的故事就是展示中国的一个窗口。通过他，我们可以看到一个有着五千年文明历史的国家，正努力与现代科学结合在一起，并终将重塑世界科技的秩序。

近几年间，研究者分析时间序列数据的方式发生了显著的变化。因此，很有必要对这一日益重要的研究领域的新近发展进行综合，并整体呈现出来。作者第一次对时间序列分析的相关进展做出详细、全面的梳理与阐述。这些研究进展包括向量自回归、广义矩估计、单位根的经济与统计结果、非线性时间序列等。另外，作者在本书中还阐述了包括线性表征、自相关、生成函数、谱分析、卡尔曼滤波等动态系统的传统分析工具。这些内容有助于经济理论研究和解释现实世界的数据.
本书将为学生、研究者和预测人员提供对动态系统、计量经济和时间序列分析的独立而明确的全面分析。从最简单的原理出发，作者的清晰表达使得一年级研究生和非专业人士也能理解相关内容的历史进展和新近发展。同时，由于其全面性，使得该书为研究者了解学术前沿提供了宝贵的参考文献。作者一方面通过大量的例子展示理论结果如何运用于实践，另一方面在相关章节后面提供了详细的数学附录。作为为相关领域学生和研究者提供的理论路线图，该书将成为未来若干年相关领域的权威指导书。

本书全面介绍了抽样调查的基本理论和方法，并结合实践给出许多调查示例。参照这些例证过程，读者可以设计出精确度高、成本低的抽样调查方案。不同于一般介绍抽样调查的书籍，本书着重强调采用现代统计方法学来设计抽样调查方案及分析数据。书中介绍了许多流行的抽样调查方法，如不等概率抽样法、贝叶斯方法、刀切法、自助法、多重抽样法等。而且，每章的结尾都给出与具体数据相关的习题和参考文献。
本书只要求读者具备高等代数和概率统计基础知识，适合作为高等院校高年级本科生和研究生的教材，也可供进行抽样调查的实际工作者使用。

《差分方程导论(英文版)(第3版)》是一本学习差分方程的本科生教程。书中将差分方程的经典方法和现代方法有机结合，包括了最新最权威的一手材料，并且在表述上足够简洁明了，适合高年级的本科生和研究生使用。《差分方程导论(英文版)(第3版)》是第三版，这版中包括了更多的证明，图表和应用，增加了许多新的内容，如，讲述高阶尺度差分方程的一章；有关一维映射的局部稳定性和全局稳定性的内容；介绍解的渐进思想的一节；levin-may定理的详细证明以及lap flour-beetle模型的最新结果。
读者对象：数学专业的本科生，研究生和相关的科研人员。

阅读本书仅需要线性代数和数学分析的基本知识。通过学习本书，可以了解凸分析和优化领域的主要结果，掌握有关理论的本质内容，提高分析和解决优化问题的能力。因此，所有涉足系统分析领域的理论研究人员和实际工作者均可从学习或阅读本书中获得益处。此外，本书也可用作高年级大学生或研究生学习凸分析方法和理论的教材或辅助材料。

The book is about dynamics-the mathematics of how things change in time.The universe around us presents a kaleidoscope of quantities that vary with time, ranging from the extragalactic pulsation of quasars to the fluctuations in sunspot activity on our sun; from the changeing outdoor temperature associated with the four season to the aily temperature gluctuations in our bodies; from the incidence of infectious diseases such as meales to the tumultuous trend of stock prices.
本书为英文版．

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus – how it works and why it makes our lives immeasurably better.
Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.
Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous.
Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS.
As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

《复流形(第2版)》是复流形的一大经典（全英文版），也是陈省身先生最著名的著作之一。该书是1995年版复流形理论第2版的修订版。《复流形(第2版)》以作者在California大学的讲义和Canadian数学学会的研讨班为蓝本，全面地讲述复流形理论在代数几何、复函数理论、微分算子等理论中的重要作用。《复流形(第2版)》的最大特点是复流形理论的微分几何方法是在S.-S.Chern著作的影响下发展起来的，作为第2版对该理论的引入和表示很完美，被众多数学界的学者、专家所引用，是学习Riemann几何的一本理想参考书。

本书是一本关于最优化技术的入门教材，全书共分为四部分。第一部分是预备知识。第二部分主要介绍无约束的优化问题，并介绍线性方程的求解方法、神经网络方法和全局搜索方法。第三部分介绍线性优化问题，包括线性优化问题的模型、单纯形法、对偶理论以及一些非单纯形法，简单介绍了整数线性优化问题。第四部分介绍有约束非线性优化问题，包括纯等式约束下和不等式约束下的优化问题的最优性条件、凸优化问题、有约束非线性优化问题的求解算法和多目标优化问题。中文版已根据作者提供的勘误表进行了内容更正。

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of ’category’ for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories.

《数学系八十年》由上海交通大学数学系组编。交通大学从1928年建立数学系至2008年，迄今已有八十年的历史。数学系经历了从艰苦创业、发展成长到“创一流、强特色”，追求卓越的各个时期，为发展祖国的数学事业作出了贡献。《数学系八十年》通过“80年历程”、“往事篇章”、“教师风采”、“人物长廊”等专辑，为读者提供了可读性较强的史料，记述了80年来数学系在各个时期所走过的曲折历程，以及一代又一代的交大数学人继承发扬交大办学传统，认真教书育人，培养优秀人才所作努力的事迹。

本书内容包括数、数的加法和数的乘法，以及由此延伸开来的群、环、域、多项式和向量空间。与其他线性代数的教科书不同的是立足点和理论框架的选择。本书不将任何数及其算术运算当成给定的原始概念，而是从数学基础的角度建立起它们的确切解释，并将这样的解释作为数学的一种基础，进而建立和发展线性空间的基本理论。

To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet, mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, "How Mathematicians Think" reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results.Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and "How Mathematicians Think" provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, "How Mathematicians Think" shows that the nature of mathematical thinking can teach us a great deal about the human condition itself

现代数学如何揭示宇宙最深处的秘密？
《洛杉矶时报》图书奖获得者讲述物理学家与数学家的百年纠葛
《环球科学》第七届最美科学阅读榜主榜单入榜图书
2020年原理“科学之美”年度书单推荐图书
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从科学巨人爱因斯坦到量子力学大师保罗•狄拉克，众多数学家和理论物理学家都因这样的问题而困惑不解：为何物理学家为描述现实世界而创造出的理论会与数学家以自己的纯粹思想构造出来的数学结构殊途同归？为何宇宙碰巧就是以数学的语言书写而成的？事实上，这种现象正是物理学家维格纳所说的 “数学在自然科学中不合理的有效性”。
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在长达300多年的时间里，物理和数学时而并驾齐驱，时而渐行渐远。进入21世纪以来，数学家和理论物理学家越发意识到这两门学科交叉的意义。在数学与理论物理学紧密合作的领域已经结出累累硕果，两门学科的发展也互为补充和促进。
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在未来，人类可能无法通过实验来证实物理理论的真实性和准确性。未来的理论物理学研究进展可能会以千年为尺度，不再会有20世纪的相对论和量子力学这样全方位的革命性理论。但有了高等数学这一新武器的帮助，在长远的时间尺度上，我们仍可以认为理论物理学的前途是光明的

Renowned linguist George Lakoff pairs with psychologist Rafael Nuñez in the first book to provide a serious study of the cognitive science of mathematical ideas. This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathematics Comes From argues that conceptual metaphor plays a central role in mathematical ideas within the cognitive unconscious-from arithmetic and algebra to sets and logic to infinity in all of its forms.