Textbooks

Textbook selections for summer 2025, fall 2025, and spring 2026 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 1105 - Finite Mathematics for the Life and Social Sciences // spring 2026

Lial, Greenwell, and Ritchey, Finite Mathematics 12, Pearson Education, 2022 (978-0-13-588262-7).

MATH 1106 - Modeling with Calculus for the Life Sciences  // fall 2025, spring 2026

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 // fall 2025, spring 2026

Boelkins, Matthew, Active Calculus, 2nd Edition (HTML and PDF versions available)

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 I // fall 2025, spring 2026

Boelkins, Matthew, Active Calculus, 2nd Edition (HTML and PDF versions available)

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 1300 - Mathematical Explorations // spring 2026

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 1340 - Strategy, Cooperation, and Conflict  // spring 2026

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, spring 2026

Diez, Barr, and Çetinkaya-Rundel, OpenIntro Statistics, 3rd edition, OpenIntro, Inc., 2015 (Edition: 3; ISBN: 978-1-943450-03-9) — available through Canvas

MATH 1890 - FWS: Writing in Mathematics  // fall 2025

Lang, Serge, Basic Mathematics, Springer, 1988 (ISBN: 978-0-387-96787-5).

MATH 1910 - Calculus For Engineers  // summer 2025, fall 2025, spring 2026

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  // summer 2025, fall 2025, spring 2026

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  // fall 2025, spring 2026

W. Keith Nicholson, Linear Algebra with Applications, Version 2023 Revision A (Open Edition)

MATH 2220 - Multivariable Calculus  // fall 2025, spring 2026

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 2026

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 // fall 2025, spring 2026

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 2930 - Differential Equations for Engineers  // summer 2025, fall 2025, spring 2026

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  // summer 2025, fall 2025, spring 2026

Lay, Lay, and McDonald, Linear Algebra and its Applications, 6th edition, Pearson Education, 2020 (ISBN: 978-0-13-684748-9).

MATH 3040 - Prove It!  // fall 2025

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 3040 - Prove It!  // spring 2026

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 3110 - Introduction to Analysis  // fall 2025, spring 2026

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  // fall 2025, spring 2026

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 2026

Artin, Michael, Algebra 2, Addison Wesley, 2010 (978-0-13-241377-0).

MATH 3360 - Applicable Algebra  // spring 2026

Beachy and Blair, Abstract Algebra 4, Waveland Press, Inc., 2019 (978-1-4786-3869-8).

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 2026

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 4140 - Honors Introduction to Analysis II  // spring 2026

Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6).

MATH 4180 - Complex Analysis  // spring 2026

Course packet: Levinson and Redheffer, Complex Variables, Holden-Day, Inc., 1970.

MATH 4200 - Differential Equations and Dynamical Systems // spring 2026

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 2026

Strauss, Walter, Partial Differential Equations: An Introduction, 2nd edition, John Wiley & Sons, 2007 (ISBN: 0-470-05456-5)

MATH 4310 - Linear Algebra  // 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 4310 - Linear Algebra  // spring 2026

Axler, Sheldon, Linear Algebra Done Right, 4th edition

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 2026

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 4420 - Introduction to Combinatorics II // spring 2026

Stanley, Richard P., Algebraic Combinatorics: Walks, Trees, Tableaux, and More, 2nd edition, Springer, 2018 (978-3-319-77172-4) — free e-book through the Cornell Math Library

Stanley, Richard P., An Introduction to Hyperplane Arrangements

(optional) Oxley, J. G., Matroid Theory, 2nd edition, Oxford University Press, 2011 (978-0-19-856694-6) — free e-book through the Cornell Math Library

(optional) Bjorner, Anders, et al, Oriented Matroids, 2nd edition, Cambridge University Press, 1999 (978-0-511-58650-7) — free e-book through the Cornell Math Library

MATH 4500 - Matrix Groups  // spring 2026

Stillwell, John, Naive Lie Theory, Springer-Verlag, 2008 (ISBN: 978-0-387-78214-0) — free e-book through the Cornell Math Library

Tapp, Kristopher, Matrix Groups for Undergraduates, 2nd edition, American Mathematical Society, 2016 (978-1-470-42722-1) — free e-book through the Cornell Math Library

Godement, Roger, Introduction to the Theory of Lie Groups, Springer, 2017 (978-3-319-54373-4) — 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 2026

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 4710 - Basic Probability  // fall 2025, spring 2026

Anderson, Seppalainen, and Valko, Introduction to Probability, Cambridge University Press, 2017 (ISBN: 978-1-108-41585-9).

MATH 4740 - Stochastic Processes  // spring 2026

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 4860 - Applied Logic  // spring 2026

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 5200 - Differential Equations and Dynamical Systems // spring 2026

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 5420 - Introduction to Combinatorics II // spring 2026

Stanley, Richard P., Algebraic Combinatorics: Walks, Trees, Tableaux, and More, 2nd edition, Springer, 2018 (978-3-319-77172-4) — free e-book through the Cornell Math Library

Stanley, Richard P., An Introduction to Hyperplane Arrangements

(optional) Oxley, J. G., Matroid Theory, 2nd edition, Oxford University Press, 2011 (978-0-19-856694-6) — free e-book through the Cornell Math Library

(optional) Bjorner, Anders, et al, Oriented Matroids, 2nd edition, Cambridge University Press, 1999 (978-0-511-58650-7) — 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 2026

Stein and Shakarchi, Complex Analysis, Princeton University Press, 2003 (ISBN: 0-691-11385-8)

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 6160 - Partial Differential Equations  // spring 2026

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 2026

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 2026

Dummit and Foote, Abstract Algebra 3, John Wiley & Sons, 2004 (0-471-43334-9).

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 6350 - Homological Algebra  // spring 2026

No required textbook. The instructor may provide notes, references, or links to on-line resources.

MATH 6370 - Algebraic Number Theory  // spring 2026

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 2026

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 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 2026

Hartshorne, Robin, Algebraic Geometry, Springer, 1977 (ISBN: 0-387-90244-9) — free e-book through the Cornell Math Library

Vakil, Ravi, The Rising Sea: Foundations of Algebraic Geometry, Princeton University Press, 2025 (ISBN: 978-0-691-26866-8)

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 2026

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

MATH 6810 - Logic  // spring 2026

van den Dries, Lou, Mathematical Logic Lecture Notes (unpublished) — available through Canvas

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)

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