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Mathematics : Suggested Books by Subject
About the Book Lists
On this page are suggested readings in the main areas within mathematics.
Establishing texts are meant to give readers new to a subject area a sense breadth of a subject and the fundamental results therein.
Further reading are for those ready to really dive in and go deep on a topic.
Suggested reading for the Mathematics Department's Qualifying Exams are exactly that.
- Guide for Topics for Math Qualifying ExamsDescribes the format and scope of the qualifying exams for the Department of Mathematics, plus references and suggested reading lists.
Algebra
Suggested Reading for Qualifying Exams
Introduction to Commutative Algebra by Call Number: AMP Library: QA251 A8
Abstract Algebra by Call Number: AMP Library: QA162 D85 2004
Establishing Texts
Contemporary Abstract Algebra by Call Number: AMP Library: QA162 G34 2013
A Survey of Modern Algebra by Call Number: AMP Library: QA162 B57 1977
Linear Algebra and Its Applications by Call Number: AMP Library: QA184 S8 1988
Linear Algebra by Call Number: AMP Library: QA251 H67 1971
Deeper Reading
Galois Theory by Call Number: AMP Library: QA214 A77 1998
Algebra by Call Number: AMP Library: QA155 H83 1974
Algebra: A Graduate Course by Call Number: AMP Library: LH 7G72 S92 v.100
An Introduction to the Theory of Groups by Call Number: AMP Library: QA171 R67 1995
Analysis
Suggested Reading for Qualifying Exams
Functions of One Complex Variable I by Call Number: AMP Library: QA331 C659 1978
Functions of One Complex Variable II by Call Number: AMP Library: QA331 C659 1995
Real Analysis: Modern Techniques and Their Applications by Call Number: AMP Library: QA300 F67 1999Also available online.
Function Theory of One Complex Variable by Call Number: AMP Library: LH 7G72 S92 v.40 2006
Functional Analysis by Call Number: AMP Library: QA320 R83 1991
Real and Complex Analysis by Call Number: AMP Library: QA300 R82 1987
Establishing Texts
- Introduction to Calculus and Analysis by Call Number: AMP Library: QA303 C85
- Complex Variables and Applications by Call Number: AMP Library: QA331 C524 1974
Mathematical Analysis by Call Number: AMP Library: QA300 B727 1996
Mathematical Analysis by Call Number: AMP Library: QA300 A6 1974
Applied Mathematics
Suggested Reading for Qualifying Exams
Advanced Mathematical Methods for Scientists and Engineers by Call Number: AMP Library: QA371 B43
Fourier Series and Boundary Value Problems by Call Number: AMP Library: QA404 B76 2008- Calculus of variations by Call Number: AMP Library: QA315 G417
Partial Differential Equations by Call Number: AMP Library: QA377 K48 2000- Complex Variables by Call Number: AMP Library: QA331 L47 1970
Partial Differential Equations and Boundary Value Problems with Applications by Call Number: AMP Library: QA374 P55 1991
Green's Functions and Boundary Value Problems by Use "Request a Copy" to borrow.
Introduction to Applied Mathematics by Call Number: AMP Library: QA37.2 S87 1986
Partial Differential Equations of Applied Mathematics by Call Number: AMP Library: QA377 Z38 2006
Establishing Texts
Differential Equations by Call Number: AMP Library: QA371 H77 1991
Basic Partial Differential Equations by Call Number: AMP Library: QA374 B64 1996- Boundary Value Problems by Call Number: Verona Shelving Facility: QA431 .G2813Also available online.
Combinatorics
Establishing Texts
Principles and Techniques in Combinatorics by Call Number: AMP Library: QA164 C54 1992
Combinatorics and Graph Theory by Call Number: AMP Library: QA165 H37 2000
Foundations of Applied Combinatorics by Call Number: AMP Library: QA164 B46 1991
Graphs and Digraphs by Call Number: Steenbock Library: QA166 C4525 2005
Graph Theory by Call Number: AMP Library: QA166 B662
Further Reading
Enumerative Combinatorics: Volume 1 by Call Number: AMP Library: QA164.8 S73 2012- Graph Theory by Call Number: AMP Library: QA166 T815 1984
Spectral Graph Theory by Call Number: Verona Shelving Facility: LH 7R26 C76 no.92
Random Graphs by Call Number: AMP Library: QA166.17 B66 2001
Ramsey Theory by Call Number: AMP Library: QA166 G68 1990
Handbook of Combinatorics by Call Number: AMP Library: QA164 H33 1995- Probabilistic Methods in Combinatories by Call Number: AMP Library: QA164 E7
Computational Mathematics
Suggested Reading for Qualifying Exams
An Introduction to Numerical Analysis by Call Number: College Library: QA297 E52 2003
Finite Difference Methods for Ordinary and Partial Differential Equations by Call Number: AMP Library: QA431 L548 2007
Spectral Methods in MATLAB by Call Number: AMP Library: QA377 T65 2000
Numerical Analysis of Spectral Methods by Call Number: Verona Shelving Facility: LH 7R26 C74 no.26
Numerical Solution of Partial Differential Equations by the Finite Element Method by Call Number: AMP Library: TA347 F5 J62 1987
The Finite Element Method: Theory, Implementation, and Applications by Use "Request a Copy" to borrow.
Finite Volume Methods for Hyperbolic Problems by Call Number: AMP Library: QA377 L41566 2002
Monte Carlo Methods by Call Number: AMP Library: QA298 K35 1986
Establishing Texts
Introduction to Algorithms by Call Number: AMP Library: QA76.6 C662 2009
A Friendly Introduction to Numerical Analysis by Call Number: AMP Library: QA297 B72 2006
Numerical Analysis by Call Number: QA297 B84 1993
Geometry & Topology
Suggested Reading for Qualifying Exams
Algebraic Topology by Call Number: AMP Library: QA612 H42 2002
Introduction to Smooth Manifolds by Call Number: AMP Library: QA613 L44 2013
Foundations of Differentiable Manifolds and Lie Groups by Call Number: AMP Library: QA614.3 W37 1983- A Comprehensive Introduction to Differential Geometry by Call Number: AMP Library: QA641 S6 1979
Establishing Texts
An Invitation to Algebraic Geometry by Call Number: AMP Library: QA564 .I62 2004
Conics and Cubics by Call Number: AMP Library: QA567 B59 1998
The Shape of Space by Call Number: AMP Library: QA612.2 W44 1985- Basic Topology by Call Number: AMP Library: QA611 A68
The Four Pillars of Geometry by Call Number: AMP Library: QA445 S77 2005
Topology by Call Number: College Library: A611 M82 2000
Further Reading
Topology and Geometry by Call Number: AMP Library: QA612 .B74 1993
Differential Topology by Call Number: AMP Library: QA613.6 G84
Homology Theory by Call Number: AMP Library: QA612.3 V5 1994
Logic
Suggested Reading for Qualifying Exams
Mathematical Logic by Call Number: AMP Library: QA9 .E2213 2021
The Foundations of Mathematics by Call Number: AMP Library: QA9 K796 2009
Set Theory by Call Number: AMP Library: QA248 K75
Recursively Enumerable Sets and Degrees by Call Number: AMP Library: QA9.615 S63 1987
Computable Structures and the Hyperarithmetical Hierarchy by Call Number: AMP Library: QA9.59 A84 2000
A Shorter Model Theory by Call Number: AMP Library: QA9.7 H65 1997
Model Theory by Call Number: AMP Library: QA9.7 M367 2002
A Course in Model Theory by Call Number: AMP Library: QA9.7 T45 2012
Establishing Texts
A Mathematical Introduction to Logic by Call Number: AMP Library: QA9 E54 2001
Classic Set Theory by Call Number: AMP Library: QA248 G65 1996
Number Theory
Establishing Texts
The Higher Arithmetic by Call Number: AMP Library: QA241 D2 2008
Introduction to the Theory of Numbers by Call Number: AMP Library: QA241 H28 1979- Higher Mathematics from an Elementary Point of View by Call Number: Verona Shelving Facility: QA241 R214 1983
The Beauty of Doing Mathematics by Call Number: AMP Library: QA7 L28 1985
Further Reading
Algebraic Number Theory by Call Number: AMP Library: QA247 L29 1994
Elliptic Curves by Call Number: AMP Library: LH 7M43 N8463 v.40- Topics in Analytic Number Theory by Call Number: AMP Library: LB 8G92 Bd.169
From Number Theory to Physics by Call Number: AMP Library: QA241 F76 1992
Modular Functions and Dirichlet Series in Number Theory by Call Number: AMP Library: QA241 A62- Number Theory by Call Number: AMP Library: QA165 A58
