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Generalization of Euler and Ramanujan’s Partition Functions - Couverture souple

Mohajan, Haradhan; Das, Sabuj

 
9783659712227: Generalization of Euler and Ramanujan’s Partition Functions
Couverture souple
ISBN 10 : 3659712221 ISBN 13 : 9783659712227
Editeur : LAP LAMBERT Academic Publishing, 2015

Synopsis

The purpose of the book is to describe Partition Functions and Generating Functions of Number Theory. Gottfried Willhelm Leibnitz (1646–1716) was among the first mathematicians who contribute to the development of partitions. But the greatest contributions in the early stages of the partitions theory were due to great mathematician Leonhard Euler (1707–1783) in the mid-eighteenth century and yet it continues to reveal its mysteries. Indian great mathematician Srinivasa Ramanujan was perhaps the first mathematician to seriously investigate the properties of partition function P(n). He established a formula for P(n), one which describes the exceptional rate of growth suggested. Generating functions were first introduced by Abraham de Moivre in 1730 in order to solve the general linear recurrence problem. In 1742, Leonhard Euler developed the generating function for P(n). In this book recent development of partition functions and generating functions are discussed with easier mathematical techniques.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The purpose of the book is to describe Partition Functions and Generating Functions of Number Theory. Gottfried Willhelm Leibnitz (1646–1716) was among the first mathematicians who contribute to the development of partitions. But the greatest contributions in the early stages of the partitions theory were due to great mathematician Leonhard Euler (1707–1783) in the mid-eighteenth century and yet it continues to reveal its mysteries. Indian great mathematician Srinivasa Ramanujan was perhaps the first mathematician to seriously investigate the properties of partition function P(n). He established a formula for P(n), one which describes the exceptional rate of growth suggested. Generating functions were first introduced by Abraham de Moivre in 1730 in order to solve the general linear recurrence problem. In 1742, Leonhard Euler developed the generating function for P(n). In this book recent development of partition functions and generating functions are discussed with easier mathematical techniques.

Biographie de l'auteur

Haradhan Kumar Mohajan is an Assistant Professor at Premier University, Chittagong, Bangladesh. He is an author of 19 published books and 79 articles published in reputed journals. Sabuj Das is a Senior Lecturer at Raozan University College, Chittagong, Bangladesh. He is an author of 2 published books and 23 articles published in reputed journals.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2015
Langue
anglais
ISBN 10 
3659712221
ISBN 13 
9783659712227
Reliure
Broché
Nombre de pages
272
Coordonnées du fabricant
non disponible
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