{"product_id":"the-dynamical-system-generated-by-the-3n-1-function-9783540639701","title":"The Dynamical System Generated by the 3n+1 Function","description":"\u003cp\u003e • Author(s): Günther J. Wirsching\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003eThe 3n+1 function T is defined by T(n)=n\/2 for n even, and T(n)=(3n+1)\/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n\u0026gt;0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":46897296244887,"sku":"9783540639701","price":4204.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540639701.webp?v=1770362132","url":"https:\/\/atlanticbooks.com\/products\/the-dynamical-system-generated-by-the-3n-1-function-9783540639701","provider":"Atlantic Books","version":"1.0","type":"link"}