"Mathematicians" is a remarkable collection of ninety-two photographic portraits, featuring some of the most amazing mathematicians of our time. Acclaimed photographer Mariana Cook captures the exuberant and colorful personalities of these brilliant thinkers and the superb images are accompanied by brief autobiographical texts written by each mathematician. Together, the photographs and words illuminate a diverse group of men and women dedicated to the absorbing pursuit of mathematics. The compelling black-and-white portraits introduce readers to mathematicians who are young and old, fathers and daughters, and husbands and wives. They include Fields Medal winners, those at the beginning of major careers, and those who are long-established celebrities in the discipline. Their candid personal essays reveal unique and wide-ranging thoughts, opinions, and humor, as the mathematicians discuss how they became interested in mathematics, why they love the subject, how they remain motivated in the face of mathematical challenges, and how their greatest contributions have paved new directions for future generations. "Mathematicians" in the book include David Blackwell, Henri Cartan, John Conway, Pierre Deligne, Timothy Gowers, Frances Kirwan, Peter Lax, William Massey, John Milnor, Cathleen Morawetz, John Nash, Karen Uhlenbeck, and many others. Conveying the beauty and joy of mathematics to those both within and outside the field, this photographic collection is an inspirational tribute to mathematicians everywhere.

This textbook provides a comprehensive and reader-friendly introduction to the field of computational social science (CSS). Presenting a unified treatment, the text examines in detail the four key methodological approaches of automated social information extraction, social network analysis, social complexity theory, and social simulation modeling. This updated new edition has been enhanced with numerous review questions and exercises to test what has been learned, deepen understanding through problem-solving, and to practice writing code to implement ideas. Topics and features: contains more than a thousand questions and exercises, together with a list of acronyms and a glossary; examines the similarities and differences between computers and social systems; presents a focus on automated information extraction; discusses the measurement, scientific laws, and generative theories of social complexity in CSS; reviews the methodology of social simulations, covering both variable- and object-oriented models. This indispensable textbook/reference provides a comprehensive and reader-friendly introduction to the emerging field of computational social science (CSS). Presenting a unified treatment, the text examines in detail the four key methodological approaches of automated social information extraction, social network analysis, social complexity theory, and social simulation modeling. This updated and expanded new edition has been enhanced with numerous review questions and exercises to test what has been learned, deepen understanding through problem-solving, and to practice writing code to implement ideas and further explore the concepts. Topics and features: Contains more than a thousand problem questions and exercises, together with a list of acronyms and a glossary of terms Presents an introduction to the main areas, core concepts, and historical development of CSS, providing examples of a range of CSS investigations Examines the key similarities and differences between computers and social systems, from an information-processing perspective Presents a focus on automated information extraction, beginning with its roots in linguistics Introduces the fundamental elements of social network analysis, and computational approaches to analyzing social complexity Discusses the measurement, scientific laws, and generative theories of social complexity in CSS Reviews the methodology of social simulations, covering in detail both variable-oriented and object-oriented models This unique, clearly-written textbook is essential reading for graduate and advanced undergraduate students planning on embarking on a course on computational social science, or wishing to refresh their knowledge of the fundamental aspects of this exciting field.

20世纪最后一位数学史大师， 克莱因被最多读者阅读的一本书。 …… 音乐能激起或平静人的心灵，绘画能愉悦人的视觉， 诗歌能激发人的感情，哲学能使思想得到满足， 工程技术能改善人的物质生活， 数学则能够做到所有这一切。 …… 25个世纪以来，数学史上发生了三次危机：非欧几何对欧氏 几何的冲击、无理数的发现及数的扩张 、微积分带来的分析困境；集合论悖论和其他逻辑悖论出现……使得数学大厦一次次面临倒塌的危险…… 本书探讨数千年来数学在直觉、逻辑、应用之间穿梭往复的炫目旅程，再现真实数学的发展过程，阐述数学的起源、数学的繁荣和科学的数学化，直到当代数学的现状：数学与确定性（逻辑，严密性，完备性）渐行渐远。 克莱因透过数学史上的大事件一步一步剥开数学思想与数学思维变迁的脉络。 …… 数学不是天然的宝石，只是人工的。 在今天，绝大多数聪明人依然相信物理世界的真理与人类理性的严密，本书正是要打破这一迷信。 …… 数学家靠的不是运算准确、迅速，而是数学思维——数学是一种思考方式。 克莱因能够几乎不借助公式，用数学来解析思想，将数千年的 数学探讨如此深入，非常之了得。

在2002年一篇曾引发数学界巨大反响的文章《一个数学家的叹息》中，保罗·洛克哈特猛烈抨击了美国中小学数学教育的现状：学生只是被要求记住公式，并在练习题中反复套用，而这一创造性过程应有的兴奋、喜悦乃至痛苦和挫败却不见了。 在洛克哈特看来，数学是一门艺术，而老师教授数学的方法应该是，向学生诚实地传递自己对于这门学科的热爱，激发和激励他们与生俱来的好奇心，并帮助和引导他们实际投身到这段迷人的旅途中去。 本书正是洛克哈特这一思想的体现。他对数学的热爱在字里行间显露无遗，同时他也不讳言旅途的艰难。本书分为两个部分，分别介绍了对形状和运动的度量。他以平实的语言将几何学和微积分的复杂概念以及两者之间的精妙关联解释得清晰易懂，生动展示了数学家都在做什么，以及他们为什么要这么做。

This is the fourth edition of the standard introductory text and complete reference for scientists in all disciplines, as well as engineers. This fully revised version includes important updates on articles and books as well as information on a crucial new topic: how to create transparencies and computer projections, both for classrooms and professional meetings. The text maintains its user-friendly, example-based, visual approach, gently easing readers into the secrets of Latex with The Short Course. Then it introduces basic ideas through sample articles and documents. It includes a visual guide and detailed exposition of multiline math formulas, and even provides instructions on preparing books for publishers.