{"product_id":"9783540639701","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eWirsching, Günther J.\u003c\/h2\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1998-02-19\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540639701\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0095985\u003c\/p\u003e \u003cp\u003eDimensions: 279cm x216cm\u003c\/p\u003e \u003cp\u003ePages: 164\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369696911500,"sku":"9783540639701","price":40.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540639701.jpg?v=1775673946","url":"https:\/\/lateknightbooks.com\/products\/9783540639701","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}