Library

The PMC loves its library. Here is a just a small sample of what you will find on the shelves. All of our books are free for borrowing by our members, although textbooks for courses that are currently being offered must stay inside the office.

Abstract Algebra

  • Abstract Algebra, Dummit & Foote
  • Abstract Algebra 2ed, Herstein
  • Abstract Algebra and solution by radicals, Maxfield and Maxfield
  • A First Course in Abstract Algebra, Fraleigh
  • A First Course in Abstract Algebra, J. N. Kapuir, S. K. Gupta
  • Algebra, Michael Artin
  • Algebra, Third Edition. Serge Lang
  • Algebra: groups, rings, and other topics. Neal H. McCoy, Thomas R. Berger
  • Algebraic Geometry, Robin Hartshorne
  • Algebraic Structures, Serge Lang
  • Applied Modern Algebra, Larry L.Dornhoff & Franz E. Hohn
  • Contemporary Abstract Algebra, Gallian
  • Contemporary Abstract Algebra, sixth edition, Gallian
  • Elements of Abstract Algebra, Richard A. Dean
  • Elements of Modern algebra, fourth edition. Jimmie Gilbert, Linda Gilbert
  • Fundamental Structures of Algebra, Mostow, Sampson, Meyer
  • Galois Theory, Emil Artin
  • Introduction to Abstract Algebra, Macduffee
  • Introduction to Algebra, Sam Perlis
  • Introduction to Commutative Algebra, M. F. Atiyah, I. G. MacDonald
  • Introduction to Field Theory, Iain T. Adamson
  • Lie Algebras, Jacobson
  • Modern Applied Algebra, Garrett Birkhoff & Thomas C. Bartee
  • Modern Algebra, van Der Waerden
  • The Theory of Groups, Marshall Hall, Jr.
  • Theory of Lie Groups, Claude Chevalley

Analysis

  • Basic Complex Analysis, Marsden and Hoffman
  • Complex Analysis, Ahlfors
  • Complex Analysis, Stewart & Tall
  • Complex Variables, Silverman
  • Complex Variables and Applications, Ruel V.Churchill, James W.Brown, and Roger F. Verhey
  • Differential Equations, Piaggio
  • Elements of Real Analysis, David A. Sprecher
  • Elementary Classical Analysis, Marsden
  • Elementary Numerical Analysis: An Algorithmic Approach, Conte & de Boor
  • Functional Analysis, Riesz & Sz.–Nagy
  • Functions of a Complex Variable, Macrobert
  • Fourier Series and Orthogonal Functions, Davis
  • Introduction to Complex analysis, Nevanlinna Paatero
  • Real & Complex Analysis, Walter Rudin
  • Real Analysis, Bruckner, Bruckner, Thomson
  • Theoretical Analysis, Heider & Simpson
  • Topics in Modern Analysis, Kuller

Calculus

  • An Outline for the study of Calculus to accompany Louis Leithold's THE CALCULUS with Analytic Geometry 4ed, Minnick
  • Calculus 4ed, Anton
  • Calculus 4ed, Stewart
  • Calculus – Early Transendentals Single Variable 5ed (Study Guide), St. Andre
  • Calculus III, Marsden & Weinstein
  • Calculus and Analytic Geometry 6ed, Ballou & Swanson
  • Calculus, Complex Numbers and Polar Co–ordinates, Elliott et al.
  • Introduction to Calculus, Staal
  • Multivariable Calculus for the University of Waterloo, McCallum, Hughes–Hallett, Gleason, et al.
  • Precalculus Mathematics, Hungerford & Mercer

Combinatorics

  • Combinatorial Designs: Constructions Methods, Ian Anderson
  • Discrete and Combinatorial Mathematics: An Applied Introduction (Volume I), Ralph P. Grimaldi
  • Discrete and Combinatorial Mathematics: An Applied Introduction (Volume II), Ralph P. Grimaldi
  • Enumerative Combinatorics, Richard P. Stanley
  • Lattice Equations, Hierarchies and Hamiltonian Structures, Wiersma
  • Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization, Levent Tuncel

Computer Science

  • Algorithm Design: Foundations, Analysis, and Internet Examples, Michael T. Goodrich, Roberto Tamassia
  • Applied Mathematical Programming, Breadley/Hax/Magnanti
  • Computational Complexity, Christos H. Papadimitriou.
  • Data Abstraction and Problem Solving with Java (Walls and Mirrors), Carrano & Prichard
  • Object–Oriented Modelling and Design with UML, Michael Blaha, James Rumbaugh
  • The Art of Computer Programming, Seminumerical Algorithms, Knuth

Course Notes

  • AM 331/PM 331 Course Notes
  • C&O 351, Network Flows Course Notes
  • MATH 239, Introduction to Combinatorics Course Notes
  • PMATH 360, Geometry Course Notes

General Interest

  • 20.000 lieus sous les mers, II, Jules Verne
  • A Guide to LaTeX 2ed, Kopka & Daly
  • A New Look at Arithmetic, Adler
  • A Source Book in Mathematics, Smith
  • An Introduction to Mathematical Thinking – Algebra and Number Systems, Gilbert & Vanstone
  • Bridge, by Audrey Grant
  • Descartes' Dream – The World According to Mathematics, Davis & Hersh
  • Dictionary of Physics, Penguin Press
  • Edgar Allan Poe – Complete Tales and Poems, Poe
  • Episodes from the early history of mathematics, Asger Aaboe
  • Fermat's Last Theorem, Simon Singh
  • Flatland, A romance of many dimensions, Edwin A. Abbott
  • Foundations of Astronomy 1986ed, Seeds
  • From Geometry to Topology, Flegg
  • General Chemistry – Principles & Modern Applications 9ed, Petrucci, Harwood, Herring & Madura
  • General Chemistry, Principles & Modern Applications (Solutions Manual), Lucio Gelmini & Robert W.Hilts
  • Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Abramowitz & Stegun
  • King Lear, Shapeskeare
  • Long Walk to Freedom, Nelson Mandela
  • Making TEX Work, Norman Walsh
  • Mathematics: Frontiers and Perspectives, Arnold, Atiyah, Lax & Mazur, Editors
  • Microeconomics – Canada in the Global Environment, Parkin & Bade
  • Microeconomics – Canada in the Global Environment (Study Guide), Cohen & King
  • Notes on the Synthesis of Form, Christopher Alexander
  • Nuclear Rocket Propulsion, Bussard–DeLauer
  • On Liberty, J. S. Mill
  • Physics for Scientists and Engineers with Modern Physics 3ed, Serway
  • Politically Incorrect Holiday Stories, James Finn Garner
  • Popular Lectures on Mathematical Logic, Hao Wang.
  • PMC Attendance Book
  • PMC Quotation Book II
  • Practicing to take the GRE Mathematics Test, GRE
  • Prelude to Mathematics, W. W. Sawyer
  • Quantum Computing, Mika Hirvensalo
  • Recreations in the Theory of Numbers – The Queen of Mathematics Entertains, Beiler
  • Redburn, his First Voyage, a novel by Herman Melville
  • Robert J. Sawyer, Hominids
  • Sets: What Are They?, Luce
  • Symmetry and its Applications in Science, Boardman, O'Connor, & Young
  • The Cosmic Perspective, Bennett, Donahue, Schneider & Voit
  • The Facts on File Dictionary of Mathematics, edited by Carol Gibson
  • The Feynman Lectures on Physics, Feynman, Leighton & Sands
  • The Geometry of the Environment, March & Steadman
  • The Great Mathematicians, H.W. Turnbull
  • The Odyssey of Homer, translated and with an introduction bu Richmond Lattimore
  • The Penguin Dictionary of Curious and Interesting Numbers, David Wells
  • The Soviet School of Chess, Kotov & Yudovich
  • The Spell of Mathematics, Reichmann
  • The Stand, Stephen King
  • The Sympusium, Plato
  • The Thirteen Books of the Elements – Books I–II, Euclid
  • The Thirteen Books of the Elements – Books III–IX, Euclid
  • The Thirteen Books of the Elements – Books X–XIII, Euclid
  • Three Phases of Matter 2ed, Walton
  • Who Got Einstein's Office?, Regis
  • Winning Ways for your Mathematical Plays, Berlekamp, Conway & Guy
  • Word Smart for the GRE, The Princeton Review
  • Writing Mathematics Well, Gillman

Geometry

  • Elements of Differential Geometry, Millman & Parker
  • Differential Geometry, Heinrich W. Guggenheimer
  • Geometric Transformations, I. M. Yaglom
  • Geometric Transformations II, I. M. Yaglom
  • Plane Geometry Problems with Solutions, Horblit & Nielsen
  • Solid Geometry, P. M. Cohn

Grad/Undergrad Texts

  • A Course in Arithmetic, Serre
  • A First Course in Calculus 5ed, Serge Lang
  • Advanced Topics in the Arithmetic of Elliptic Curves, Joseph H. Silverman
  • Algebriac Graph Theory, Chris Godsil Gordon Royle
  • An Introduction to Algebraic Topology, Rotman
  • An Introduction to Knot Theory, Lickorish
  • Commutative Algebra with a view toward Algebraic Geometry, Eisenbud
  • Diophantine Geometry, An Introduction, Hindry & Silverman
  • Functions of One Complex Variable I, John B.Conway
  • Functions of One Complex Variable II, John B.Conway
  • Integers, Polynomials, and Rings, Ronald S.Irving
  • Linear Representations of Finite Groups, Jean–Pierre Serre
  • Modern Fourier Analysis, Loukas Grafakos
  • Naive Lie Theory, John Stillwell.
  • The Arithmetic of Elliptic Curves, Silverman
  • The Geometry of Schemes, Eisenbud & Harris
  • The Mathematics of Nonlinear Programming, A. L. Peressini, F. E. Sullivan, J. J. Uhl Jr.

Graph Theory

  • Error–Correcting Codes, W.Wesley Peterson and E. J. Weldon, Jr.
  • Graphs and their Uses, Oystein Ore
  • Introduction to Graph Theory, Richard J. Trudeau

Linear Algebra

  • A First Course in Linear Algebra with Applications, Moore & Yaqub
  • A Geometric Introduction to Linear Algebra, Daniel Pedoe
  • A Primer on Linear Algebra, Herstein & Winter
  • Elementary Linear Algebra, Larson & Edwards
  • Elementary Linear Algebra with Applications, Anton & Rorres
  • Finite–Dimensional Vector Spaces, Paul R. Halmos
  • Introduction to Linear Algebra, Anderson
  • Introduction to Linear Algebra, Mirsky
  • Linear Algebra 2ed, Friedberg, Insel, & Spence
  • Linear Algebra and its Applications 3ed Update, Lay
  • Linear Algebra with Geometric Applications, Mansfield
  • Linear Algebra & Matrix Theory, Evar D. Nering
  • Linear Equations, P. M. Cohn
  • Real Linear Algebra, Antal E. Fekete

Number Theory

  • An Introduction to the Theory of Numbers, Niven and Zuckerman
  • Elementary Decision Theory, Chernoff and Moses
  • Elementary Introduction to Number Theory, Third Edition, Calvin T. Long
  • Elements of the Theory of Numbers, Dence & Dence

Statistics

  • Analysis and Simulation of Chaotic Systems, Hoppensteadt
  • Applied Linear Regression Models 3ed, Neter, Kutner, Nachtsheim & Wasserman
  • General Relativity, Wald
  • Probability and Statistical Inference, J. G. Kalbfleisch
  • Splines and Variational Methods, Prenter
  • Wavelets and Operators, Yves Meyer

Topology

  • Algebraic Topology – A First Course, Fulton
  • Algebraic Topology, A First Course, Marvin J. Greenberg, John R. Harper
  • Algebraic Topology, Homotopy and Homology, Switzer
  • An Introduction to Homotopy Theory, Hilton
  • Axiomatic Set Theory, Patrick Suppes
  • Cohomology Theories, Dyer
  • Cohomology Theory, Hu
  • Counterexamples in Topology, Lynn Arthur Steen and J. Arthur Seebach, Jr.
  • Differential Topology, Victor Guillemin, Alan Pollack
  • Elements of General Topology, S. T. Hu
  • Elements of Mathematics, General Topology, Part 1, Bourbaki
  • Elements of Mathematics, General Topology, Part 2, Bourbaki
  • Elementary Topology: A Combinatorial and Algebraic Approach, Blackett
  • Fibre Bundles, Dale Husemoller
  • First concepts of Topology. The geometry of mappings of segments, curves, circles and disks. W. G. Chinn and N. E. Steenrod
  • General Topology, Kelley
  • General Topology, Willard
  • Homology, Saunders Mac Lane
  • Homology Theory, Hilton & Wylie
  • Homology Theory, Vick
  • Homology Theory, a first course in algebraic topology, S. T. Hu
  • Homotopy Theory – An Introduction to Algebraic Topology, Gray
  • Introduction to General Topology, Hu
  • Introduction to Metric and Topologic Spaces, W. A. Sutherland
  • Set Theory and Metric Spaces, Irving Kaplansky
  • Studies in Modern Topology, P. J. Hilton
  • The Genesis of Point Set Topology, Jerome M. Manheim
  • The Lefschetz Fixed Point Theorem, Brown
  • The Topology of Fibra Bundles, Steenrod
  • Theory and Problems of General Topology, Lipschutz
  • Topology, Dugundji
  • Topology, John G. Hocking and Gail S. Young
  • Topology, Lefschetz
  • Visual Topology, W. Lietzmann

This page was last updated on July 14, 2010.