书名：Stewart-Concepts of Modern Mathematics现代数学的概念

作者：Ian Stewart  

出版社名称：Dover Publications Inc 

出版时间：1995

语种：英语 

ISBN：9780486284248 

商品尺寸：13.2 x 1.9 x 21.3 cm

包装：平装

页数：352（以实物为准）

几年前，“新数学”席卷了该国的教室。基于研究数学家偏爱的抽象抽象数学论述风格，其目标是教学生不仅要操纵数字和公式，而且要掌握基本的数学概念。至少在一开始的结果是，老师，学生和父母之间产生了很大的困惑。从那以后，“新数学”的消极方面被消除，其积极元素被吸收到课堂教学中。

在这本引人入胜的书中，一位著名的英国数学家使用幽默和轶事来阐明“新数学”的基础概念：组，集合，子集，拓扑，布尔代数等。斯图尔特教授认为，对这些概念的理解为把握数学的真正本质，尤其是纯数学的力量，美感和实用性提供了*佳途径。不需要高级数学背景（少量的代数，几何和三角学就可以帮助您）遵循作者对函数，对称性，公理学，计数，拓扑，超空间，线性代数，实数分析等主题的清醒和发人深省的讨论，概率，计算机，现代数学的应用等等。

当读者读完本书时，他们将更清楚地了解现代数学家如何看待数字，函数和公式，以及对“新数学”的基本概念的牢固掌握如何导致对自然的真正理解数学本身。

Some years ago, "new math" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of "new math" have been eliminated and its positive elements assimilated into classroom instruction.

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.

By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.

伊恩·斯图尔特（Ian Stewart，1945年9月24日－），英国数学家、科普作家，英国皇家学会成员，沃里克大学教授。他在科学美国人和新科学杂志发表过不少文章。1995年，他因在科普的成就获得米高·法拉弟奖（Michael Faraday Medal）

Ian Stewart was born in 1945, educated at Cambridge (MA) and Warwick (PhD). He has five honorary doctorates (Open University, Westminster, Louvain, Kingston, and Brighton) and is Emeritus Professor of Mathematics at Warwick University. He has published over 120 books including Mathematics of Life, Professor Stewart’s Hoard of Mathematical Treasures, Professor Stewart’s Cabinet of Mathematical Curiosities, Why Beauty is Truth, Flatterland, What Shape is a Snowflake?, Nature’s Numbers, Does God Play Dice?, and the bestselling series The Science of Discworld I, II, III, and IV with Terry Pratchett and Jack Cohen.