Integer Partitions

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Características del artículo

Estado
Como nuevo: Libro en perfecto estado y poco leído. La tapa no tiene desperfectos y si procede, con ...
ISBN
9780521600903
Categoría

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Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521600901
ISBN-13
9780521600903
eBay Product ID (ePID)
30204545

Product Key Features

Number of Pages
152 Pages
Language
English
Publication Name
Integer Partitions
Publication Year
2004
Subject
General, Number Theory
Type
Textbook
Subject Area
Mathematics
Author
George E. Andrews, Kimmo Eriksson
Format
Trade Paperback

Dimensions

Item Height
0.4 in
Item Weight
8.1 Oz
Item Length
9.1 in
Item Width
6 in

Additional Product Features

Edition Number
2
Intended Audience
College Audience
LCCN
2003-069732
Reviews
'The clarity, accuracy, and motivation found in the writing should make the book especially attractive to students who want to begin to learn about the beautiful theory of partitions.' Combinatorics, Probability and Computing, "This book is written in a very easy and friendly style. The authors start from scratch and lead the readers from the easy to the unsolved problems. It is really a pleasure to read." -Mathematical Reviews, 'Interesting historical remarks and recent results are also contained. This book offers a charming entryway to partition theory.' Zentralblatt MATH, "...until now there has not been a good introduction to the subject at an elementary level. Integer Partitions...is written at a level that most undergraduates, and even many high school students, could follow quite easily." -MAA Reviews, Darren Glass, Columbia University
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
512.73
Table Of Content
1. Introduction; 2. Euler and beyond; 3. Ferrers graphs; 4. The Rogers-Ramanujan identities; 5. Generating functions; 6. Formulas for partition functions; 7. Gaussian polynomials; 8. Durfee squares; 9. Euler refined; 10. Plane partitions; 11. Growing Ferrers boards; 12. Musings; A. Infinite series and products; B. References; C. Solutions and hints.
Synopsis
The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings., The theory of integer partitions is a subject of enduring interest as well as a major research area. It has found numerous applications, including celebrated results such as the Rogers-Ramanujan identities. The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints., The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.
LC Classification Number
QA165.A55 2004

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