帕金斯夫人的电被子：以及其他有趣的数理故事 Mrs. Perkins's Electric Quilt: And Other Intriguing Stories of Mathematical Physics

基本信息

Format：Hardback | 424 pages

Dimensions: 152 x 235 x 34.54mm | 822g

Publication date: 06 Sep 2009

Publisher：Princeton University Press

Imprint: Princeton University Press

ISBN: 9780691135403

页面参数仅供参考，具体以实物为准

内容简介

绗缝与电路理论有什么关系？答案只是畅销的通俗数学书作家保罗·纳欣在其全新的挑战性数学谜题书《帕金斯夫人的电被子》中说明数学和物理在我们周围世界的深刻相互作用的迷人方式之一。纳欣以其标志性的方式将引人入胜的数学问题和围绕这些问题的历史轶事结合起来，邀请读者对数学和物理学结合的许多方式进行激动人心和内容丰富的探索，以创造出比任何一种方式本身更强大、更有用、更有趣的东西。在一系列简短且基本自成一体的章节中，纳欣讨论了数学和物理学相互依赖和相互启发的广泛主题，从牛顿重力和牛顿力学定律到弹道、空气阻力和电力。数学主题包括从代数、三角学、几何学和微积分到微分方程、傅里叶级数以及理论和蒙特卡洛概率。

每一章都包括一些问题--大约有三十几个--挑战读者尝试应用他们所学的知识。正如在他的其他数学难题书中一样，纳欣讨论了每个问题的历史背景，给出了许多例子，包括MATLAB代码，并提供了完整而详细的解决方案。《帕金斯夫人的电被子》将吸引对新的数学和物理应用感兴趣的学生，寻找不寻常的例子在课堂上使用的教师，以及任何喜欢流行数学书的人。

What does quilting have to do with electric circuit theory? The answer is just one of the fascinating ways that best-selling popular math writer Paul Nahin illustrates the deep interplay of math and physics in the world around us in his latest book of challenging mathematical puzzles, Mrs. Perkins's Electric Quilt. With his trademark combination of intriguing mathematical problems and the historical anecdotes surrounding them, Nahin invites readers on an exciting and informative exploration of some of the many ways math and physics combine to create something vastly more powerful, useful, and interesting than either is by itself. In a series of brief and largely self-contained chapters, Nahin discusses a wide range of topics in which math and physics are mutually dependent and mutually illuminating, from Newtonian gravity and Newton's laws of mechanics to ballistics, air drag, and electricity. The mathematical subjects range from algebra, trigonometry, geometry, and calculus to differential equations, Fourier series, and theoretical and Monte Carlo probability.

Each chapter includes problems--some three dozen in all--that challenge readers to try their hand at applying what they have learned. Just as in his other books of mathematical puzzles, Nahin discusses the historical background of each problem, gives many examples, includes MATLAB codes, and provides complete and detailed solutions at the end. Mrs. Perkins's Electric Quilt will appeal to students interested in new math and physics applications, teachers looking for unusual examples to use in class--and anyone who enjoys popular math books.

作者简介

保罗·J·纳欣是许多畅销的通俗数学书的作者，包括《数字骰子》、《追逐与逃亡》、《欧拉博士的神奇公式》、《决斗白痴和其他概率谜题》和《一个想象的故事》（都是普林斯顿大学）。他是新罕布什尔大学电气工程系的名誉教授。

Paul J. Nahin is the author of many best-selling popular math books, including "Digital Dice, Chases and Escapes, Dr. Euler's Fabulous Formula, When Least is Best, Duelling Idiots and Other Probability Puzzlers," and "An Imaginary Tale" (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.