The Joy of Abstraction

An Exploration of Math, Category Theory, and Life

This title was previously available on NetGalley and is now archived.

Buy this Book on

You must sign in to see if this title is available for request.
Send NetGalley books directly to your Kindle or Kindle app

1
To read on a Kindle or Kindle app, please add kindle@netgalley.com as an approved email address to receive files in your Amazon account. Click here for step-by-step instructions.
2
Also find your Kindle email address within your Amazon account, and enter it here.
Pub Date 13 Oct 2022 | Archive Date 06 Oct 2022

Talking about this book? Use #TheJoyofAbstraction #NetGalley. More hashtag tips!


Description

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.

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...


Advance Praise

‘This book is an educational tour de force that presents mathematical thinking as a right-brained activity. Most ‘left brain/right brain’ education-talk is at best a crude metaphor; but by putting the main focus on the process of (mathematical) abstraction, Eugenia Cheng supplies the reader (whatever their ‘brain-type’) with the mental tools to make that distinction precise and potentially useful. The book takes the reader along in small steps; but make no mistake, this is a major intellectual journey. Starting not with numbers, but everyday experiences, it develops what is regarded as a very advanced branch of abstract mathematics (category theory, though Cheng really uses this as a proxy for mathematical thinking generally). This is not watered-down math; it’s the real thing. And it challenges the reader to think-deeply at times. We ‘left-brainers’ can learn plenty from it too.’ Keith Devlin, Stanford University (Emeritus), author of The Joy of Sets


'Finally, a book about category theory that doesn’t assume you already know category theory! In this inviting but rigorous introduction to what she calls ‘the mathematics of mathematics’, Eugenia Cheng brings the subject to us with insight, wit, and a point of view. Her story of finding joy-and advantage-in abstraction will inspire you to find it, too.' Patrick Honner, award-winning high school math teacher, columnist for Quanta Magazine, author of Painless Statistics

‘This book is an educational tour de force that presents mathematical thinking as a right-brained activity. Most ‘left brain/right brain’ education-talk is at best a crude metaphor; but by putting...


Available Editions

EDITION Hardcover
ISBN 9781108477222
PRICE $25.95 (USD)

Available on NetGalley

NetGalley Shelf App (PDF)
Send to Kindle (PDF)
Download (PDF)

Average rating from 2 members