Mathematical Papers

This publication was made possible through a bequest from my beloved late ~ wife. United together in this present collection are those works by the author which have not previously appeared in book form. The following are excepted: Vorlesungen tiber Differential und Integra1rechnung (Lectures on Differential and Integral Calculus) Vo1s 1-3, Birkhiiuser Verlag, Basel (1965-1968); Aufgabensamm1ung zur Infinitesima1rechnung (Exercises in Infinitesimal Calculus) Vo1s 1, 2a, 2b, and 3, Birkhiiuser Verlag, Basel (1967-1977); two issues from Memorial des Sciences on Conformal Mapping (written together with C. Gattegno), Gauthier-Villars, Paris (1949); Solution of Equations in Euclidean and Banach Spaces, Academic Press, New York (1973); and Stu­ dien tiber den Schottkyschen Satz (Studies on Schottky's Theorem), Wepf & Co., Basel (1931). Where corrections have had to be implemented in the text of certain papers, references to these are made at the conclusion of each paper. In the few instances where this system does not, for technical reasons, seem appropriate, an asterisk in the page margin indicates wherever a correction is necessary and is then given at the end of the paper. (There is one exception: the correc­ this tions to the paper on page 561 are presented on page 722. The works are published in 6 volumes and are arranged under 16 topic headings. Within each heading, the papers are ordered chronologically according to the date of original publication.

Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions.