Unraveling Topological Crochet
暫譯: 解開拓撲編織奧秘
Dong, Shiying, Torrence, Eve
- 出版商: A K Peters
- 出版日期: 2026-09-28
- 售價: $3,090
- 貴賓價: 9.5 折 $2,935
- 語言: 英文
- 頁數: 266
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032835087
- ISBN-13: 9781032835082
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相關分類:
數學
海外代購書籍(需單獨結帳)
相關主題
商品描述
"Models in this book look magical. And as you cannot learn magic just from watching it being performed, so it is with topological crochet. In this book the magic of topological crochet is carefully revealed to the reader step by step. Follow it by making your own models and you will be rewarded with a deep understanding of topology and your own collection of beautiful crochet sculptures."
--Daina Taimina, mathematician and author of Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore
"This wonderful book introduces crochet crafters to fun and intriguing mathematics, and mathematicians with a crafty bend to making beautiful and fun objects illustrating symmetry and topology, to their own delight and maybe that of their friends and students! Shiying and Eve are crochet magicians--and their boundless energy and sense of fun is now yours to enjoy as well in this great book."
--Ingrid Daubechies, winner of numerous mathematics awards, including the National Medal of Science, and first female president of the International Mathematical Union
"A wonderfully practical introduction to the art and craft and math of Shiying's virtuoso sculptures, laying out exactly the math you need, with detailed project instructions to follow as you learn. There are ingredients from knot and graph theory, geometry and topology, and so many forms to explore, from elegant loops to wild fanciful polyhedra. I've always needed a model in my hands to understand geometry, and crocheting is such a friendly way to visit with these beautiful shapes."
--Bathsheba Grossman, pioneering mathematical sculptor known for her 3D printed work in steel
"Topology has long been a curiosity of mine, even as a non-mathematician. Now, with nothing more than familiar tools--yarn, hook, and stitch markers--Shiying guides us through topological structures that make sense in our hands, even when the math seems out of reach. This isn't a quick skim-and-stitch pattern book, but a new way of making fiber art. Your hands will understand more than you expect!"
--Edie Eckman, fiber artist, knitting and crochet teacher, and author of several best-selling knitting and crochet books, including The Crochet Answer Book: Solutions to Every Problem You'll Ever Face; Answers to Every Question You'll Ever Ask
商品描述(中文翻譯)
「本書中的模型看起來彷彿充滿魔法。然而，就像光靠觀看魔法表演並不能學會魔法一樣，拓撲鉤針編織也是如此。本書將一步一步地，仔細向讀者揭示拓撲鉤針編織的魔法。跟著書中的內容親手製作自己的模型，你將獲得對拓撲學的深入理解，以及一系列美麗的鉤針雕塑作品。」
——Daina Taimina，數學家、《Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore》作者
「這本精彩的書向鉤針編織愛好者介紹了有趣且引人入勝的數學，也帶領具有手作傾向的數學家製作美麗又有趣的物件，展示對稱性與拓撲學，讓自己感到愉悅，也或許能讓朋友和學生欣賞！Shiying 與 Eve 是鉤針編織魔法師，而如今，你也能在這本精彩的書中享受她們無窮的活力與趣味。」
——Ingrid Daubechies，曾獲得包括 National Medal of Science 在內的眾多數學獎項，International Mathematical Union 首位女性主席
「這是一本極為實用的入門書，介紹 Shiying 大師級雕塑作品中的藝術、工藝與數學。書中精確說明所需的數學，並提供詳細的專案指示，讓你在學習的同時動手實作。內容涵蓋 knot theory、graph theory、幾何學與拓撲學等概念，還有各式各樣的形體可供探索，從優雅的迴圈到狂野而富想像力的多面體，應有盡有。我一直需要將模型拿在手中才能理解幾何，而鉤針編織正是一種親切的方式，能讓人親近這些美麗的形狀。」
——Bathsheba Grossman，以鋼材 3D 列印作品聞名的先驅數學雕塑家
「即使不是數學家，拓撲學長久以來也一直令我感到好奇。如今，Shiying 只運用我們熟悉的工具——毛線、鉤針和記號扣——引導我們探索拓撲結構；即使數學看似難以理解，這些結構仍能在雙手中變得清晰易懂。這不是一本可以快速瀏覽並照著編織的圖樣書，而是一種創作纖維藝術的新方法。你的雙手所能理解的，將超出你的想像！」
——Edie Eckman，纖維藝術家、編織與鉤針教師，以及多本暢銷編織與鉤針書籍的作者，其中包括《The Crochet Answer Book: Solutions to Every Problem You'll Ever Face; Answers to Every Question You'll Ever Ask》
作者簡介
Shiying Dong grew up in rural China, where bamboo weaving was an inseparable part of life, which kindled her passion for mathematical craft. Before she started creating original shapes with her hands, she devoted most of her energy to the traditional paper-and-pencil way of studying spacetime. Shiying has a PhD in theoretical physics from the University of Illinois Urbana-Champaign and a Master's in mathematics from the University of Pennsylvania. She won a Silver Medal and the Best Female Participant Award in the first Asian Physics Olympiad in 2000. In November 2023, Shiying was one of the two grand prize winners of the Einstein Mad Hat Awards, organized by MoMath and the UK Maths Trust. She was also the recipient of the Best Textile, Sculpture or Other Medium Award in the JMM Mathematical Art Exhibition, 2025, featured in the NY Times. Since 2023, she has been exhibiting her work at MoMath, Gathering 4 Gardner, JMM, Bridges, Vogue Knitting Live, and various museums. She has given dozens of talks on topological crochet and held more than a hundred workshops on crochet and mathematical art and craft. She was the Innovator-in-Residence of the Innovation Lab in Greenwich Library, Greenwich, CT, from September 2025 to November 2025.
Eve Torrence has loved art, crafting, and mathematics since she was a child. She has been very lucky to build a career that merged these passions. She has a PhD in mathematics from the University of Virginia and is professor emeritus at Randolph-Macon College, where she was a member of the faculty from 1994 to 2021. Eve designed and taught many mathematical arts courses at R-MC, in which she used knitting, crochet, bead crochet, and origami to introduce, explain, and illustrate mathematical topics. She has exhibited her mathematical artwork at numerous juried shows at the JMM and Bridges conferences. Eve's sculpture Day was awarded the People's Choice Award at the 2015 Bridges Mathematical Art Exhibition. She is currently a member of the Board of the Bridges Organization and serves as the managing editor of the Bridges Conference Proceedings. Eve is the author of Cut and Assemble Icosahedra: Twelve Models in White and Color and co-author of The Student's Introduction to Mathematica and the Wolfram Language. In 2013, Eve received a State Council of Higher Education for Virginia Outstanding Faculty Award. She has served as the chair of the Maryland-DC-Virginia Section of the MAA and President of Pi Mu Epsilon National Mathematics Honor Society.
作者簡介(中文翻譯)
Shiying Dong 在中國農村長大，竹編是她生活中不可分割的一部分，也因此點燃了她對數學工藝的熱情。在開始親手創作原創造型之前，她大部分時間與精力都投入於以傳統紙筆方式研究時空。Shiying 擁有 University of Illinois Urbana-Champaign 理論物理學博士學位，以及 University of Pennsylvania 數學碩士學位。2000 年，她在首屆 Asian Physics Olympiad 中獲得銀牌（Silver Medal）及最佳女性參賽者獎（Best Female Participant Award）。2023 年 11 月，Shiying 成為由 MoMath 與 UK Maths Trust 主辦的 Einstein Mad Hat Awards 兩位大獎得主之一。她也在 2025 年 JMM Mathematical Art Exhibition 中獲得最佳紡織、雕塑或其他媒材獎（Best Textile, Sculpture or Other Medium Award），相關作品並獲《New York Times》報導。自 2023 年起，她陸續在 MoMath、Gathering 4 Gardner、JMM、Bridges、Vogue Knitting Live 及各地博物館展出作品。她曾就拓撲鉤針編織（topological crochet）發表數十場演講，並主持超過一百場鉤針編織與數學藝術及工藝工作坊。2025 年 9 月至 11 月期間，她擔任位於 Connecticut 州 Greenwich 的 Greenwich Library Innovation Lab 駐館創新家（Innovator-in-Residence）。
Eve Torrence 從小就熱愛藝術、手作與數學。她非常幸運，得以建立一番融合這些興趣的職業生涯。她擁有 University of Virginia 數學博士學位，並為 Randolph-Macon College 榮譽退休教授；1994 年至 2021 年間，她曾任該校教職。Eve 在 R-MC 設計並教授多門數學藝術課程，運用編織、鉤針編織、串珠鉤針編織及摺紙來介紹、解釋與示範數學主題。她曾在 JMM 與 Bridges 會議的多場評審制展覽中展出數學藝術作品。Eve 的雕塑作品《Day》在 2015 年 Bridges Mathematical Art Exhibition 中獲得觀眾票選獎（People's Choice Award）。目前，她是 Bridges Organization 董事會成員，並擔任 Bridges Conference Proceedings 的執行編輯。Eve 著有《Cut and Assemble Icosahedra: Twelve Models in White and Color》，並與他人合著《The Student's Introduction to Mathematica and the Wolfram Language》。2013 年，Eve 獲得 State Council of Higher Education for Virginia 頒發的傑出教職員獎（Outstanding Faculty Award）。她曾擔任 MAA Maryland-DC-Virginia Section 主席，以及 Pi Mu Epsilon National Mathematics Honor Society 會長。
