Spring 2021

Introduction to the Theory of Partitions

Listed in: Mathematics and Statistics, as MATH-310

Faculty

Amanda L. Folsom (Section 01)

Description

The theory of partitions is a fundamental branch of combinatorics and number theory pertaining to enumerative properties and patterns of the integers. With its mathematical origins tracing back to the seventeenth century, partition theory has evolved through contributions made by many influential mathematicians including Euler, Legendre, Hardy, Ramanujan, Selberg and Dyson, and continues to be an active area of study today. Topics include partition identities and bijections, Ferrers diagrams and Durfee squares, partition generating functions and q-series, the pentagonal number theorem, q-binomial numbers (Gaussian polynomials), and partition congruences.

This course is expected to include both synchronous and asynchronous class sessions and activities, and opportunities for peer engagement.

Requisite: MATH 121 and 220, or other significant experience with proofs, or by consent of the instructor. Limited to 24 students. Spring semester. Professor Folsom.

If Overenrolled: Preference will be given to seniors first, then a mix of other years based on lottery; 5-college students if space permits, must attend first class

Cost: $38 (paperback) ?

MATH 310 - LEC

Section 01
M 11:20 AM - 12:10 PM ONLI ONLI
F 11:20 AM - 12:10 PM ONLI ONLI

MATH 310 - DIS

Section 01
Tu 12:00 PM - 12:50 PM ONLI ONLI
Th 12:00 PM - 12:50 PM ONLI ONLI

This is preliminary information about books for this course. Please contact your instructor or the Academic Coordinator for the department, before attempting to purchase these books.

ISBN Title Publisher Author(s) Comment Book Store Price
Integer Partitions Cambridge George Andrews and Kimmo Eriksson required text Amherst Books TBD
The Theory of Partitions Cambridge George Andrews Non-required optional supplemental reading Amherst Books TBD

These books are available locally at Amherst Books.

Offerings

2024-25: Not offered
Other years: Offered in Fall 2016, Spring 2021