郑乐隽：抽象的乐趣：对数学、范畴论和生活的探索 The Joy of Abstraction : An Exploration of Math, Category Theory, and Life

基本信息

Format:Paperback / softback Worked examples or Exercises

Publisher:Cambridge University Press

Imprint:Cambridge University Press

ISBN:9781108708449

Published:4 Apr 2024

Weight:744g

Dimensions:155 x 230 x 44 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

数学家兼科普作家 Eugenia Cheng 的使命是向您展示数学可以是灵活的、创造性的和可视化的。 这个从抽象数学世界进入范畴论的愉快旅程将揭开数学思维过程的神秘面纱，帮助您发展自己的思维，而无需正式的数学背景。 这本书通过社会正义、时事和日常生活的例子，从特权到 COVID-19，再到驾驶路线，将抽象的数学思想带入现实。 这个旅程从抽象数学的思想和工作开始，之后你将逐渐转向更多的技术材料，学习理解范畴论所需的一切，然后是范畴论中的关键概念，如自然变换、对偶性，甚至是一瞥正在进行的 高维范畴论研究。 对于《如何烘烤圆周率》的粉丝来说，这将帮助您深入挖掘数学概念并建立您的数学背景。

Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life – from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material, learning everything needed to understand category theory, and then key concepts in category theory like natural transformations, duality, and even a glimpse of ongoing research in higher-dimensional category theory. For fans of How to Bake Pi, this will help you dig deeper into mathematical concepts and build your mathematical background.

作者简介

郑乐隽博士是世界有名的范畴论研究者和数学阐释者。 她撰写了多本受欢迎的数学书籍，包括《如何烘烤圆周率》（2015 年）、《不合逻辑的世界中的逻辑艺术》（2017 年）和两本儿童读物。 她还为《华尔街日报》撰写“日常数学”专栏。 她是芝加哥艺术学院的常驻科学家，在那里向艺术学生教授抽象数学。 她拥有博士学位。 他获得了剑桥大学范畴论博士学位，并获得了谢菲尔德大学纯数学终身教职。

Dr. Eugenia Cheng is world-renowned as both a researcher in category theory and an expositor of mathematics. She has written several popular mathematics books including How to Bake Pi (2015), The Art of Logic in an Illogical World (2017), and two children's books. She also writes the 'Everyday Math' column for the Wall Street Journal. She is Scientist in Residence at the School of the Art Institute of Chicago, where she teaches abstract mathematics to art students. She holds a Ph.D. in category theory from the University of Cambridge, and won tenure in pure mathematics at the University of Sheffield.