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Resources in mathematics.


The following lists of books are suggested readings from the primary areas of mathematics. The books listed as foundational texts will provide readers new to an area a sense of a subject and its fundamental results. The books listed as deeper reading are for readers who are ready to dig deeper into a topic. Books with an * have been suggested as readings for the Mathematics Department's Qualifying Review Exams or for the Applied & Interdisciplinary Mathematics Qualifying Review Exams.

Books by Subject

Foundational Texts:

Contemporary abstract algebra - Gallian

A survey of modern algebra - Birkhoff

Basic Algebra - Jacobson*

Linear algebra and its applications - Strang*

Linear algebra - Hoffman and Kunze


Deeper Reading:

Abstract Algebra - Dummit and Foote*

Algebra - Lang*

Rings, Modules & Linear Algebra - Hartley and Hawkes*

Algebra - Hungerford*

Commutative Algebra - Zariski and Samuel*

Lectures in Abstract Algebra, Vol. III - Jacobson*

The Theory of Groups - Rotman*

Foundational Texts:

Introductory Combinatorics - Brualdi*

Combinatorics and graph theory - Mossinghoff, Hirst, & Harris

Foundations of applied combinatorics - Bender

Graphs & digraphs - Chartrand

Graph theory: an introductory course - Bollobás

A First Course in Probability - Ross*


Deeper Reading:

Enumerative combinatorics. Volume 1 - Stanley

Graph theory - Tutte

Spectral graph theory - Chung

Random graphs - Bollobás

Ramsey theory - Graham, Rothschild, & Spencer

Handbook of combinatorics - Graham, Grötschel, & Lovász

Probabilistic methods in combinatorics - Erdös & Spencer

Probability - Shiryayev

Probability and Measure - Billingsley