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Making Mathematics with Needlework: Ten Papers and Ten Projects

edited by sarah-marie belcastro and Carolyn Yackel

Welcome! Our book is published by AK Peters (which became part of CRC Press). CRC has their own page for the book, and it's listed on amazon.com, overstock.com, barnesandnoble.com, and Magers&Quinn (Mpls). (Not in the US? It's available at bookdepository UK, Amazon Canada, Amazon UK, Amazon Japan, Amazon Germany, Amazon France, Krisostomus (Estonia), QBD (Australia), Booktopia (Australia), Saxo (Denmark), Mighty Ape (New Zealand), Fishpond (New Zealand), Waterstone's (UK), Blackwell's (UK), buscalibros (Chile), Paddyfield (Hong Kong), and Martinas Bastel- & Hobbykiste (Germany).)
Here is the WorldCat/OCLC entry.
(P.S. We have a second book, too.)

So, what is in the book? Every chapter (except for the introduction) has four sections. First, there's an overview intended for both crafters and mathematicians, so it should be understandable to mathematicians who don't know anything about crafting and also for crafters who don't know anything about mathematics. Then, there's a section of detailed mathematics that is intended for mathematicians. All of the authors have made an effort to include basic information so that mathematical enthusiasts who are not professional mathematicians can follow the bulk of the material. The third section of each chapter contains teaching ideas, and these range from elementary-school level to graduate level. Finally, every chapter has a project, with instructions written for and tested by crafters.
There is an index with both mathematics and craft terms, and the usual acknowledgements, credits, table of contents, and such.

Chapter titles, authors, types of mathematics, and projects:

Introduction by sarah-marie belcastro and Carolyn Yackel
surveys of mathematics and mathematics education research in fiber arts, thoughts on future work, and a comprehensive bibliography

Quilted Möbius Band by Amy F. Szczepanski (here too)
topology, graph theory / project: two quilted Möbius bands

Picking Up Stitches and Diophantine Equations by Lana Holden
number theory / project: knitted hat (ravelry pattern page)

The Sierpinski Variations: Self-Similar Crochet by D. Jacob Wildstrom
fractals / project: crocheted shawl (ravelry pattern page)

Only two knit stitches can create a torus by sarah-marie belcastro
combinatorics, topology / project: knitted torus (ravelry pattern page)

Symmetry Patterns in Cross Stitch by Mary D. Shepherd
geometry, group theory / project: cross-stitched pillow

Socks with Algebraic Structure by Carolyn Yackel
group theory, number theory / project: knitted socks (ravelry pattern page)

Fortunatus's Purse by Susan Goldstine
topology, graph theory / project: sewn Fortunatus's purse

(K)Not Cables, Braids by sarah-marie belcastro, Amy F. Szczepanski (here too), and Carolyn Yackel
group theory, topology / project: knitted cabled pillow (ravelry pattern page)

The graph theory of blackwork embroidery by Joshua Holden
graph theory / project: blackwork embroidery motif

Stop Those Pants! by sarah-marie belcastro and Carolyn Yackel
geometry / project: knitted baby pants (customizable version of the pattern freely available at the Wolfram Demonstrations Project) (ravelry pattern page)

Publicly Accessible Media Mentions of Making Mathematics with Needlework:

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