Textbook selections for spring 2025, summer 2025, and fall 2025 are listed below. Thanks to the Cornell Mathematics Library, free e-versions of textbooks are available (and linked below) for many upper-level and graduate courses in mathematics.
The Cornell Academic Materials Program provides undergraduate students taking undergraduate courses at Cornell with access to their required textbooks and coursepacks for a single flat-rate cost. All materials in this program are provided in a digital format within Canvas and become available for students to access no later than the first day of classes. Optional, out-of-print, and hard-to-find titles are not included in the program and will not be stocked at The Cornell Store.
MATH 1002 - PSSP Calculus Preparation and Quantitative Methods // summer 2025
Lial, Greenwell, and Ritchey, Calculus with Applications, 11th edition, Pearson Education, 2016 (ISBN: 978-0-321-97942-1).
MATH 1003 - PSSP Statistics Preparation and Quantitative Methods // summer 2025
Lial, Greenwell, and Ritchey, Finite Mathematics, 11th edition, Pearson Education, 2016 (ISBN: 978-0-321-97943-8).
MATH 1101 - Calculus Preparation // fall 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 1106 - Modeling with Calculus for the Life Sciences // spring 2025, fall 2025
Garfinkel, Shevtsov, and Guo, Modeling Life: The Mathematics of Biological Systems, Springer, 2017 (ISBN: 978-3-319-59730-0) — free e-book through the Cornell Math Library
MATH 1110 - Calculus I // spring 2025, fall 2025
Boelkins, Matthew, Active Calculus 2018, CreateSpace Independent Publishing, 2018 (ISBN: 978-1724458322).
MATH 1110 - Calculus I //summer 2025
Hass, Heil, and Weir, Thomas’ Calculus: Early Transcendentals, Single Variable, 14th edition, Pearson Education, 2018 (ISBN: 978-0-13-443941-9) — Instant Access through Canvas
MATH 1120 - Calculus II // spring 2025, fall 2025
Boelkins, Matthew, Active Calculus 2018, CreateSpace Independent Publishing, 2018 (ISBN: 978-1724458322).
MATH 1300 - Mathematical Explorations // fall 2025
Lec 001: Kalman, Forgoston, and Goetz, Elementary Mathematical Models: An Accessible Development without Calculus, 2nd edition, American Mathematical Society, 2019 (ISBN: 978-1-4704-5001-4).
Lec 002 will use some of the online resources from the Discovering the Art of Mathematics website, especially the books on Games & Puzzles and The Infinite
MATH 1340 - Strategy, Cooperation, and Conflict // spring 2025
Prisner, Erich, Game Theory Through Examples, Mathematical Association of America, 2014 (ISBN: 978-1-61444-115-1) — free e-book through the Cornell Math Library
MATH 1710 - Statistical Theory and Application in the Real World // fall 2025
Diez, Barr, and Çetinkaya-Rundel, OpenIntro Statistics, 3rd edition, OpenIntro, Inc., 2015 (Edition: 3; ISBN: 978-1-943450-03-9) — available through Canvas
MATH 1910 - Calculus For Engineers // spring 2025, summer 2025, fall 2025
Rogawski, Adams, and Franzosa, Calculus, 4th edition, W. H. Freeman, 2019 (ISBN: 978-1-319-05073-3) — Instant Access through Canvas
MATH 1920 - Multivariable Calculus For Engineers // spring 2025, summer 2025, fall 2025
Rogawski, Adams, and Franzosa, Calculus, 4th edition, W. H. Freeman, 2019 (ISBN: 978-1-319-05073-3) — Instant Access through Canvas
ALTERNATIVE for students who do not need access to material covered in MATH 1910: Rogawski, Adams, and Franzosa, Calculus: Late Transcendentals Multivariable, W. H. Freeman, 2019 (ISBN: 978-1-319-05578-3).
MATH 2210 - Linear Algebra // spring 2025, fall 2025
W. Keith Nicholson, Linear Algebra with Applications, Version 2023 Revision A (Open Edition)
MATH 2220 - Multivariable Calculus // spring 2025, fall 2025
Shimamoto, Don, Multivariable Calculus, 2019 (ISBN: 978-1-7082-4699-0).
MATH 2230 - Theoretical Linear Algebra and Calculus // fall 2025
Hubbard and Hubbard, Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach, 5th edition, Matrix Editions, 2015 (ISBN: 978-0-9715766-8-1).
(optional) Hubbard and Hubbard, Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach, 5th edition, Student Solutions Manual, Matrix Editions, 2015 (ISBN: 978-0-9715766-9-8).
MATH 2240 - Theoretical Linear Algebra and Calculus // spring 2025
Hubbard and Hubbard, Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach, 5th edition, Matrix Editions, 2015 (ISBN: 978-0-9715766-8-1).
MATH 2310 - Linear Algebra for Data Science // spring 2025, fall 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 2930 - Differential Equations for Engineers // spring 2025, summer 2025, fall 2025
Boyce, DiPrima, and Meade, Elementary Differential Equations and Boundary Value Problems, 12th edition, John Wiley & Sons, 2021 (ISBN: 978-1-119-77769-4).
MATH 2940 - Linear Algebra for Engineers // spring 2025, summer 2025, fall 2025
Lay, Lay, and McDonald, Linear Algebra and its Applications, 6th edition, Pearson Education, 2020 (ISBN: 978-0-13-684748-9).
MATH 3040 - Prove It! // spring 2025
Lec 001: No required textbook. The instructor may provide notes, references, or links to on-line resources.
Lec 002: Beck and Geoghegan, The Art of Proof: Basic Training for Deeper Mathematics, Springer (ISBN: 978-1-4419-7022-0) — free e-book through the Cornell Math Library
MATH 3040 - Prove It! // fall 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 3110 - Introduction to Analysis // spring 2025, fall 2025
Abbott, Stephen, Understanding Analysis, 2nd edition, Springer-Verlag, 2002 (ISBN: 978-1-4939-2711-1) — free e-book through the Cornell Math Library
MATH 3210 - Manifolds and Differential Forms // fall 2025
Reyer Sjamaar, Manifolds and Differential Forms
MATH 3270 - Introduction to Ordinary Differential Equations // fall 2025
Ahmad and Ambrosetti, A Textbook on Ordinary Differential Equations, 2nd edition, Springer, 2015 (ISBN: 978-3-319-16407-6) — free e-book through the Cornell Math Library
MATH 3320 - Introduction to Number Theory // spring 2025, fall 2025
Jones and Jones, Elementary Number Theory, Springer, 1998 (ISBN: 978-3-540-76197-6) — free e-book through the Cornell Math Library
MATH 3340 - Abstract Algebra // spring 2025
Hungerford, Thomas, Abstract Algebra: an introduction, 3rd edition, CENGAGE Learning, 2013 (ISBN: 978-1111569624)
MATH 3360 - Applicable Algebra // spring 2025
(optional) Childs, Lindsay N., A Concrete Introduction to Higher Algebra, 3rd edition, Springer-Verlag, 2009 (ISBN: 0-387-74527-5) — free e-book through the Cornell Math Library
MATH 4030 - History of Mathematics // spring 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 4040 - Patterns, Proofs, and Problems // fall 2025
Zeitz, Paul, The Art and Craft of Problem Solving, 3rd edition, John Wiley & Sons, 2016 (ISBN: 978-1-119-23990-1)
MATH 4130 - Honors Introduction to Analysis I // fall 2025
Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6).
MATH 4130 - Honors Introduction to Analysis I // spring 2025
Abbott, Stephen, Understanding Analysis, 2nd edition, Springer-Verlag, 2002 (ISBN: 978-1-4939-2711-1) — free e-book through the Cornell Math Library
MATH 4140 - Honors Introduction to Analysis II // spring 2025
Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6).
MATH 4180 - Complex Analysis // spring 2025
Gamelin, Theodore W., Complex Analysis, Springer-Verlag, 2000 (ISBN: 0-387-95069-9) — free e-book through the Cornell Math Library
MATH 4200 - Differential Equations and Dynamical Systems // spring 2025
Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol I: Ordinary Differential Equations, Springer-Verlag, 1995 (ISBN: 0-387-97286-2) — free e-book through the Cornell Math Library
Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol II: Higher-Dimensional Systems, Springer-Verlag, 1995 (0-387-94377-3) — free e-book through the Cornell Math Library
MATH 4220 - Applied Complex Analysis // fall 2025
Asmar and Grafakos, Complex Analysis with Applications, Springer, 2018 (ISBN: 978-3-030-06788-5) — free e-book through the Cornell Math Library
MATH 4250 - Numerical Analysis and Differential Equations // fall 2025
Süli and Mayers, An Introduction to Numerical Analysis, Cambridge University Press, 2003 (ISBN: 978-0-521-81026-5) — free e-book through the Cornell Math Library
MATH 4280 - Introduction to Partial Differential Equations // spring 2025
Strauss, Walter, Partial Differential Equations: An Introduction, 2nd edition, John Wiley & Sons, 2007 (ISBN: 0-470-05456-5)
MATH 4310 - Linear Algebra // spring 2025, fall 2025
Axler, Sheldon, Linear Algebra Done Right, 3rd edition, Springer, 2015 (ISBN: 978-3-319-11079-0) — free e-book through the Cornell Math Library
MATH 4330 - Honors Linear Algebra // fall 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 4340 - Honors Introduction to Algebra // spring 2025
Silverman, Joseph H., Abstract Algebra: An Integrated Approach, American Mathematical Society, 2022 (ISBN: 978-1-4704-6860-6).
MATH 4370 - Computational Algebra // fall 2025
Cox, Little, and O'Shea, Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 4th edition, Springer-Verlag, 2015 (ISBN: 978-3-319-16720-6) — free e-book through the Cornell Math Library
Lauritzen, Niels, Concrete Abstract Algebra: from numbers to Gröbner bases, Cambridge University Press, 2003 (ISBN: 978-0-521-53410-9) – free e-book through the Cornell Math Library
MATH 4410 - Introduction to Combinatorics I // fall 2025
Sagan, Bruce E., Combinatorics: The Art of Counting, American Mathematical Society, 2020 (ISBN: 978-1-4704-6032-7) — free e-book through the Cornell Math Library
MATH 4500 - Matrix Groups // spring 2025
Stillwell, John, Naive Lie Theory, Springer-Verlag, 2008 (ISBN: 978-0-387-78214-0) — free e-book through the Cornell Math Library
MATH 4520 - Classical Geometries and Modern Applications // fall 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 4530 - Introduction to Topology // fall 2025
Munkres, James, Topology, 2nd edition, Prentice Hall PTR, 2000 (ISBN: 0-13-181629-2).
MATH 4540 - Introduction to Differential Geometry // spring 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 4710 - Basic Probability // spring 2025, fall 2025
Anderson, Seppalainen, and Valko, Introduction to Probability, Cambridge University Press, 2017 (ISBN: 978-1-108-41585-9)
MATH 4720 - Statistics // spring 2025
Rice, John A., Mathematical Statistics and Data Analysis, 3rd edition, Brooks/Cole, 2007 (ISBN: 0-534-39942-8)
MATH 4740 - Stochastic Processes // spring 2025
Lawler, Gregory F., Introduction to Stochastic Processes, 2nd edition, CRC Press LLC, 2006 (ISBN: 978-1-58488-651-8)
MATH 5200 - Differential Equations and Dynamical Systems // spring 2025
Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol I: Ordinary Differential Equations, Springer-Verlag, 1995 (ISBN: 0-387-97286-2) — free e-book through the Cornell Math Library
Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol II: Higher-Dimensional Systems, Springer-Verlag, 1995 (0-387-94377-3) — free e-book through the Cornell Math Library
MATH 5220 - Applied Complex Analysis // fall 2025
Asmar and Grafakos, Complex Analysis with Applications, Springer, 2018 (ISBN: 978-3-030-06788-5) — free e-book through the Cornell Math Library
MATH 5250 - Numerical Analysis and Differential Equations // fall 2025
Süli and Mayers, An Introduction to Numerical Analysis, Cambridge University Press, 2003 (ISBN: 978-0-521-81026-5) — free e-book through the Cornell Math Library
MATH 5410 - Introduction to Combinatorics I // fall 2025
Sagan, Bruce E., Combinatorics: The Art of Counting, American Mathematical Society, 2020 (ISBN: 978-1-4704-6032-7) — free e-book through the Cornell Math Library
MATH 6110 - Real Analysis // fall 2025
Stein and Shakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, 2005 (ISBN: 0-691-11386-6).
MATH 6120 - Complex Analysis // spring 2025
Stein and Shakarchi, Complex Analysis, Princeton University Press, 2003 (ISBN: 0-691-11385-8)
(optional) Ahlfors, Lars V., Complex Analysis: an introduction to the theory of analytic functions of one complex variable, 3rd edition, McGraw-Hill, 1979 (ISBN: 978-0-486-61137-2)
(optional) Nehari, Zeev, Conformal Mapping, Dover Publications, 1975 (ISBN: 978-0-486-61137-2)
MATH 6150 - Partial Differential Equations // fall 2025
Taylor, Michael, Partial Differential Equations I: Basic Theory, 2nd edition, Springer, 2011 (ISBN: 978-1-4419-7054-1) — free e-book through the Cornell Math Library
MATH 6210 - Measure Theory and Lebesgue Integration // fall 2025
Axler, Sheldon, Measure, Integration, and Real Analysis, Springer, 2020 (ISBN: 978-3-030-33142-9) — free e-book through the Cornell Math Library
MATH 6220 - Applied Functional Analysis // spring 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6260 - Dynamical Systems // fall 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6310 - Algebra // fall 2025
Lang, Serge, Algebra, 3rd edition (revised), Springer, 2002 (ISBN: 0-387-95385-X) – free e-book through the Cornell Math Library
Aluffi, Paolo, Algebra: Chapter 0, American Mathematical Society, 2009 (ISBN: 978-0-89218-4781-7) — free e-book through the Cornell Math Library
MATH 6320 - Algebra // spring 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6330 - Noncommutative Algebra // fall 2025
Pierce, Richard S., Associative Algebras, Springer, 2012 (ISBN: 978-1-4757-0165-4) — free e-book through the Cornell Math Library
(optional) Farb and Dennis, Noncommutative Algebra, Springer, 1993 (ISBN: 0-387-94057-X) — free e-book through the Cornell Math Library
(optional) Rowen, Louis Halle, Graduate Algebra: Noncommutative View, American Mathematical Society, 2008 (ISBN: 978-0-8218-4153-2) — free e-book through the Cornell Math Library
(optional) Lam, T. Y., A First Course in Noncommutative Rings, 2nd edition, Springer, 2001 (ISBN: 978-0-387-95183-6) — free e-book through the Cornell Math Library
MATH 6370 - Algebraic Number Theory // spring 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6390 - Lie Groups and Lie Algebras // fall 2025
Kirillov, Alexander Jr., An Introduction to Lie Groups and Lie Algebras, Cambridge University Press, 2008 (ISBN: 978-0-521-88969-8) — free e-book through the Cornell Math Library
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6410 - Enumerative Combinatorics // fall 2025
(optional) Stanley, Richard, Enumerative Combinatorics, Vol. I, 2nd edition, Cambridge University Press, 2011 (ISBN: 1-107-60262-9) — free e-book through the Cornell Math Library
(optional) Aigner, Martin, A Course in Enumeration, Springer, 2007 (ISBN: 978-3-540-39032-9) — free e-book through the Cornell Math Library
(optional) Van Lint and Wilson, A Course in Combinatorics (paperback), 2nd edition, Cambridge University Press, 2001 (ISBN: 0-521-00601-5) — free e-book through the Cornell Math Library
MATH 6510 - Algebraic Topology // spring 2025
Weintraub, Steven, Fundamentals of Algebraic Topology, Springer, 2014 (ISBN: 978-1-4939-1843-0) — free e-book through the Cornell Math Library
MATH 6520 - Differentiable Manifolds // fall 2025
Guillemin and Pollack, Differential Topology, American Mathematical Society, 2010 (ISBN: 978-0-8218-5913-7) — free e-book through the Cornell Math Library
MATH 6530 - K-Theory and Characteristic Classes // fall 2025
Zakharevich, Inna, K-Theory and Characteristic Classes: a homotopical perspective, 2024.
MATH 6540 - Homotopy Theory // spring 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6620 - Riemannian Geometry // spring 2025
Lee, John M., Introduction to Riemannian Manifolds, 2nd edition, Springer, 2018 (ISBN: 978-3-030-80106-9) - free e-book through the Cornell Math Library
do Carmo, Manfredo Perdigao, Riemannian Geometry, Birkhauser Boston, 1992 (ISBN: 0-8176-3490-8)
MATH 6640 - Hyperbolic Geometry // fall 2025
Ratcliffe, John G., Foundations of Hyperbolic Manifolds, 3rd edition, Springer, 2019 (ISBN: 978-3-030-31596-2) — free e-book through the Cornell Math Library
MATH 6670 - Algebraic Geometry // spring 2025
Vakil, Ravi, The Rising Sea: Foundations of Algebraic Geometry
(optional) Hartshorne, Robin, Algebraic Geometry, Springer, 1977 (ISBN: 0-387-90244-9) — free e-book through the Cornell Math Library
MATH 6710 - Probability Theory I // fall 2025
Durrett, Rick, Probability: Theory and Examples, 5th edition, Cambridge University Press, 2019 (ISBN: 978-1-108-47368-2) — free e-book through the Cornell Math Library
MATH 6720 - Probability Theory II // spring 2025
Durrett, Rick, Probability: Theory and Examples, 5th edition, Cambridge University Press, 2019 (ISBN: 978-1-108-47368-2) — free e-book through the Cornell Math Library
Le Gall, Jean-François, Brownian Motion, Martingales, and Stochastic Calculus, Springer, 2016 (ISBN: 978-3-319-31088-6) — free e-book through the Cornell Math Library
Williams, David, Probability with Martingales, Cambridge University Press, 1991, (ISBN: 978-0-521-40605-5)
MATH 6810 - Logic // spring 2025
van den Dries, Lou, Mathematical Logic Lecture Notes (unpublished)
MATH 6840 - Recursion Theory // fall 2025
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 7130 - Functional Analysis // fall 2025
Stein and Shakarchi, Functional Analysis: Introduction to Further Topics in Analysis, Princeton University Press, 2011 (ISBN: 978-0-691-11387-6)
MATH 7150 - Fourier Analysis // spring 2025
Muscalu and Schlag, Classical and Multilinear Harmonic Analysis, volume 1, Cambridge University Press, 2013 (ISBN: 978-0-521-88245-3) — free e-book through the Cornell Math Library
Muscalu and Schlag, Classical and Multilinear Harmonic Analysis, volume 2, Cambridge University Press, 2013 (ISBN: 978-1-107-03182-1) — free e-book through the Cornell Math Library
MATH 7310 - Topics in Algebra // spring 2025
Reference: Bertin, José, The Punctual Hilbert Scheme: An Introduction