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The (Unfinished) PDE Coffee Table Book

THE (UNFINISHED) PDE COFFEE TABLE BOOK Lloyd N. Trefethen and Kristine Embree, editors Unpublished, 2001 During 2000-2001 a group project based in the Oxford University was begun to write this book. The vision was 100 2-page spreads, each one giving exactly the most useful possible starting information about a different partial differential equation, with beautiful color illustrations. Many people at Oxford and around the world contributed drafts, which were then extensively rewritten and e

Infinite Grid of Resistors

Infinite Grid of Resistors Remain, remain thou here, While sense can keep it on. And, sweetest, fairest, As I my poor self did exchange for you, To your so infinite loss, so in our trifles I still win of you: for my sake wear this... Shakespeare There is a well-known puzzle based on the premise of an “infinite” grid of resistors connecting adjacent nodes of a square lattice. A small portion of such a grid is illustrated below. Between every pair of adjacent nodes is a resistance R, and w