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