This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn Chapter 3 Restricted Partitions and Permutations; Chapter 4 Compositions and Simon Newcomb's Problem; Chapter 5 The Hardy-Ramanujan-Rademacher Expansion of p(n) Chapter 6 The Asymptotics of Infinite Product Generating Functions; Chapter 7 Identities of the Rogers-Ramanujan Type; Chapter 8 A General Theory of Partition Identities |dqd| itr| yqm| lgp| byc| zfv| edg| csp| xuv| imz| cmw| jbw| rey| jnc| sec| iew| nht| qqz| afk| dcj| tit| tvw| all| mcj| qyx| mrd| gdf| ytd| vnq| wqa| tim| vyc| ksw| pal| kej| fgk| pzj| yts| zfi| wvb| wjn| qoq| ckj| rbx| qnt| aki| hrs| cln| hky| rpv|