Textbook History
The following is a 5-year history (2021–2025) of textbooks used in math classes. Please contact Mikki Klinger at mmk8@cornell.edu if you are interested in more information. Links are provided below if a version of the book is available for free online.
Thanks to the Cornell Math Library, free e-versions of textbooks are available (and linked below) for many upper-level and graduate courses in mathematics, and the Math Library will buy access to any textbooks which are available for library purchase. If you are not sure about availability of a particular book, please check with Henrik Spoon in the Math Library.
Launching with the Fall 2022 semester, the Cornell Academic Materials Program is a university-wide program that provides undergraduate students taking undergraduate courses at Cornell with access to their required textbooks and coursepacks for a single flat-rate cost per semester. 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.
MATH 1101 - Calculus Preparation
No required textbook — fall 2021-2025
MATH 1105 - Finite Mathematics for the Life and Social Sciences
Lial, Greenwell, and Ritchey, Finite Mathematics, 12th edition, Pearson Education, 2022 (ISBN: 978-0-13-588262-7) — required fall 2023-2024
Lial, Greenwell, and Ritchey, Finite Mathematics, 11th edition, Pearson Education, 2016 (ISBN: 978-0-321-97943-8) — required fall 2021-2022
MATH 1106 - Calculus for the Life and Social Sciences
CALM active-learning resources are available for this course; some relate speficically to the Modeling Life text.
Garfinkel, Shevtsov, and Guo, Modeling Life: The Mathematics of Biological Systems, Springer, 2017 (ISBN: 978-3-319-59730-0) — required spring 2021-2025, fall 2025; free e-book through the Cornell Math Library
MATH 1110 - Calculus I
CALM active-learning resources are available for this course; some relate speficically to the Active Calculus text.
Boelkins, Matthew, Active Calculus, 2nd Edition (HTML and PDF versions available) — required fall 2025
Boelkins, Matthew, Active Calculus 2018, CreateSpace Independent Publishing, 2018 (ISBN: 978-1724458322) — required fall 2022-2024 and spring 2023-2025
Hass, Heil, and Weir, Thomas’ Calculus: Early Transcendentals, Single Variable, 14th edition, Pearson Education, 2018 (ISBN: 978-0-13-443941-9) — required spring 2021-2022, summer 2021-2025, and fall 2021
MATH 1120 - Calculus II
CALM active-learning resources are available for this course; some relate speficically to the Active Calculus text.
Boelkins, Matthew, Active Calculus, 2nd Edition (HTML and PDF versions available) — required fall 2025
Boelkins, Matthew, Active Calculus 2018, CreateSpace Independent Publishing, 2018 (ISBN: 978-1724458322) — required fall 2022-2024 and spring 2023-2025
Hass, Heil, and Weir, Thomas’ Calculus: Early Transcendentals, Single Variable, 14th edition, Pearson Education, 2018 (ISBN: 978-0-13-443941-9) — required fall 2021 and spring 2021-2022
MATH 1300 - Mathematical Explorations
CALM active-learning resources are available for this course.
Kalman, Forgoston, and Goetz, Elementary Mathematical Models: An Accessible Development without Calculus, 2nd edition, American Mathematical Society, 2019 (ISBN: 978-1-4704-5001-4) — required fall 2023, fall 2024, and fall 2025 (Lec 001)
Fall 2025 Lec 002 used some of the online resources from the Discovering the Art of Mathematics website, especially the books on Games & Puzzles and The Infinite
No required textbook — fall 2021-2022, spring 2021
MATH 1340 - Strategy, Cooperation, and Conflict
Prisner, Erich, Game Theory Through Examples, Mathematical Association of America, 2014 (ISBN: 978-1-61444-115-1) — required spring 2024 and 2025; free e-book through the Cornell Math Library
Kolokoltsov and Malafeyev, Understanding Game Theory: Introduction to the Analysis of Many Agent Systems with Competition and Cooperation, 2010 – required spring 2024; full text available for free through ResearchGate
Dixit, Skeath, and Reiley, Games of Strategy, 5th edition, W. W. Norton and Company, 2020 (ISBN: 978-0-393-42219-1) — required spring 2023
Taylor and Pacelli, Mathematics and Politics: Strategy, Voting, Power, and Proof, 2nd edition, Springer-Verlag, 2009 (ISBN: 0-387-77643-9) — required spring 2022; free e-book through the Cornell Math Library
Robinson and Ullman, The Mathematics of Politics, 2nd edition, CRC Press LLC, 2016 (ISBN: 978-1-4987-9886-0) — required spring 2021
MATH 1710 - Statistical Theory and Application in the Real World
Diez, Barr, and Çetinkaya-Rundel, OpenIntro Statistics, 3rd edition, OpenIntro, Inc., 2015 (ISBN: 978-1-943450-03-9) — required fall 2021-2025 and spring 2021-2024
MATH 1890 - FWS: Writing in Mathematics
Lang, Serge, Basic Mathematics, Springer, 1988 (ISBN: 978-0-387-96787-5).
MATH 1910 - Calculus For Engineers
CALM active-learning resources are available for this course.
Rogawski, Adams, and Franzosa, Calculus, 4th edition, W. H. Freeman, 2019 (ISBN: 978-1-319-05073-3) — required summer 2021-2025, fall 2021-2025, and spring 2021-2025
MATH 1920 - Multivariable Calculus For Engineers
CALM active-learning resources are available for this course.
Rogawski, Adams, and Franzosa, Calculus, 4th edition, W. H. Freeman, 2019 (ISBN: 978-1-319-05073-3) — required fall 2021-2025, spring 2021-2025, summer 2021-2025
MATH 2130 - Calculus III (discontinued)
CALM active-learning resources are available for this course.
Hughes-Hallett, et al., Calculus: Single and Multivariable, 7th edition, Wiley, 2017 (ISBN: 978-1-119-26000-4) — required spring 2021 and 2023
Shimamoto, Don, Multivariable Calculus, 2019 (ISBN: 978-1-7082-4699-0) — required spring 2022
MATH 2210 - Linear Algebra
CALM active-learning resources are available for this course; some relate speficically to the Nicholson text.
W. Keith Nicholson, Linear Algebra with Applications, Version 2023 Revision A (Open Edition) — required spring 2025, fall 2025
W. Keith Nicholson, Linear Algebra with Applications, Version 2021 Revision A (Open Edition) — required fall 2021-2024, spring 2022-2024
W. Keith Nicholson, Linear Algebra with Applications, Version 2019 Revision A (Open Edition) — required spring 2021
MATH 2220 - Multivariable Calculus
Shimamoto, Don, Multivariable Calculus, 2019 (ISBN: 978-1-7082-4699-0) — required fall 2022-2025, spring 2022-2025
Marsden and Tromba, Vector Calculus, 6th edition, W. H. Freeman, 2013 (ISBN: 1-4292-1508-9) — required fall 2021 and spring 2021
MATH 2230 - Theoretical Linear Algebra and Calculus
Hubbard and Hubbard, Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach, 5th edition, Matrix Editions, 2015 (ISBN: 978-0-9715766-8-1) — required fall 2021-2025
MATH 2240 - Theoretical Linear Algebra and Calculus
Hubbard and Hubbard, Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach, 5th edition, Matrix Editions, 2015 (ISBN: 978-0-9715766-8-1) — required spring 2021-2025
MATH 2310 - Linear Algebra for Data Science
No required textbook — spring 2025, fall 2025
Strang, Gilbert, Linear Algebra and Learning from Data, Wellesley-Cambridge Press, 2019 (ISBN: 978-0-692-19638-0) — required fall 2024
MATH 2310 - Linear Algebra with Applications (discontinued)
Strang, Gilbert, Introduction to Linear Algebra, 4th edition, Wellesley-Cambridge Press, 2009 (ISBN: 978-0-9802327-1-4) — required fall 2021 and 2022
MATH 2930 - Differential Equations for Engineers
Boyce, DiPrima, and Meade, Elementary Differential Equations and Boundary Value Problems, 12th edition, John Wiley & Sons, 2021 (ISBN: 978-1-119-77769-4) — required fall 2022-2025, spring 2023-2025, summer 2022-2025
Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, 11th edition, John Wiley & Sons, 2017 (ISBN: 978-1-119-38164-8) — required summer 2021, fall 2021, spring 2021-2022
MATH 2940 - Linear Algebra for Engineers
Lay, Lay, and McDonald, Linear Algebra and its Applications, 6th edition, Pearson Education, 2020 (ISBN: 978-0-13-684748-9) — required fall 2022-2025, spring 2023-2025, and summer 2023-2025
Lay, Lay, and McDonald, Linear Algebra and its Applications, 5th edition, Pearson Education, 2016 (ISBN: 978-0-321-98238-4) — required fall 2021, spring 2021-2022, and summer 2021-2022
MATH 3040 - Prove it!
CALM active-learning resources are available for this course.
No required textbook — spring 2025 (Lec 001) and fall 2025
Beck and Geoghegan, The Art of Proof: Basic Training for Deeper Mathematics, Springer (ISBN: 978-1-4419-7022-0) — required fall 2021 and 2024, spring 2021-2024, and spring 2025 (Lec 002); free e-book through the Cornell Math Library
Velleman, Daniel J., How to Prove It: A Structured Approach, 3rd edition, Cambridge University Press, 2019 (ISBN: 978-1-108-43953-4) — required fall 2022 and 2023
MATH 3110 - Introduction to Analysis
Abbott, Stephen, Understanding Analysis, 2nd edition, Springer-Verlag, 2002 (ISBN: 978-1-4939-2711-1) — required fall 2022-2025 and spring 2021-2025; free e-book through the Cornell Math Library
Mattuck, Arthur, Introduction to Analysis, CreateSpace Independent Publishing, 2013 (ISBN: 978-148484116) — required fall 2021; first three chapters available here
MATH 3210 - Manifolds and Differential Forms
Reyer Sjamaar, Manifolds and Differential Forms — required fall 2022-2025
Guillemin and Haine, Differential Forms, World Scientific, 2019 (ISBN: 978-981-327-277-4) — required fall 2024
do Carmo, Manfredo, Differential Forms and Applications, Springer, 1998 (ISBN: 978-3-540-57618-1) — required fall 2022
No required textbook — fall 2021
MATH 3230 - Introduction to Differential Equations (discontinued)
Brauer and Nohel, The Qualitative Theory of Ordinary Differential Equations: An Introduction, Dover Publications, 1969 (ISBN: 0-486-65846-5) — required fall 2022
Olver, Peter, Introduction to Partial Differential Equations, Springer, 2014 (ISBN: 978-3-319-02098-3) — required fall 2021-2022; free e-book through the Cornell Math Library
Braun, Martin, Differential Equations and Their Applications, 3rd edition, Springer, 1983 (ISBN: 387-90806-4) — required fall 2021; free e-book through the Cornell Math Library
MATH 3270 - Introduction to Ordinary Differential Equations
Ahmad and Ambrosetti, A Textbook on Ordinary Differential Equations, 2nd edition, Springer, 2015 (ISBN: 978-3-319-16407-6) — required fall 2023-2025; free e-book through the Cornell Math Library
MATH 3320 - Introduction to Number Theory
Jones and Jones, Elementary Number Theory, Springer, 1998 (ISBN: 978-3-540-76197-6) — required fall 2023-2025 and spring 2023-2025; free e-book through the Cornell Math Library
No required textbook — fall 2022, spring 2022
Weissman, Martin, An Illustrated theory of Numbers, American Mathematical Society, 2017 (ISBN: 978-1-4704-3493-9) — required fall 2021 and spring 2024
MATH 3340 - Abstract Algebra
Hungerford, Thomas, Abstract Algebra: an introduction, 3rd edition, CENGAGE Learning, 2013 (ISBN: 978-1111569624) — required spring 2025
Beachy and Blair, Abstract Algebra, 4th edition, Waveland Press, Inc., 2019 (ISBN: 978-1-4786-3869-8) — required fall 2022-2023 and spring 2022-2024
Beachy and Blair, Abstract Algebra, 3rd edition, Waveland Press, Inc., 2006 (ISBN: 978-1-57766-443-7) — required spring 2021
MATH 3360 - Applicable Algebra
Childs, Lindsay N., A Concrete Introduction to Higher Algebra, 3rd edition, Springer-Verlag, 2009 (ISBN: 0-387-74527-5) — required spring 2021-2022, optional spring 2024 and 2025; free e-book through the Cornell Math Library
Aigner, Martin, Discrete Mathematics, American Mathematical Society, 2007 (ISBN: 978-0-8218-4151-8) — optional spring 2024
Beachy and Blair, Abstract Algebra, 4th edition, Waveland Press, Inc., 2019 (ISBN: 978-1-4786-3869-8) — required spring 2023
MATH 3610 - Mathematical Modeling
No required textbook — fall 2021-2024
MATH 4030 - History of Mathematics
No required textbook — spring 2022 and spring 2025
Katz, Victor, A History of Mathematics: an introduction, 3rd edition, Addison Wesley, 2009 (ISBN: 978-0-321-65674-2) — required spring 2024
MATH 4040 - Patterns, Proofs, and Problems
Zeitz, Paul, The Art and Craft of Problem Solving, 3rd edition, John Wiley & Sons, 2016 (ISBN: 978-1-119-23990-1) — required fall 2025
MATH 4130 - Honors Introduction to Analysis I
Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6) — required for both lectures fall 2021, 2022, 2024, and 2025
Abbott, Stephen, Understanding Analysis, 2nd edition, Springer-Verlag, 2002 (ISBN: 978-1-4939-2711-1) — required fall 2023 and spring 2025; free e-book through the Cornell Math Library
Rosenlicht, Maxwell, Introduction to Analysis, Dover Publications, 1986 (ISBN: 978-0-486-65038-8) — required spring 2024
Lang, Serge, Undergraduate Analysis, 2nd edition, Springer, 1997 (ISBN: 978-0-387-94841-6) — required spring 2023; free e-book through the Cornell Math Library
Edwards, C. H. Jr., Advanced Calculus of Several Variables, Dover Publications, 1995 (ISBN: 978-0-486-68336-2) — required for spring 2022
No required textbook — spring 2021
MATH 4140 - Honors Introduction to Analysis II
Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6) — required spring 2021-2025
MATH 4180 – Complex Analysis
Gamelin, Theodore W., Complex Analysis, Springer-Verlag, 2000 (ISBN: 0-387-95069-9) — required spring 2021, 2024, and 2025; free e-book through the Cornell Math Library
Silverman, Richard A., Complex Analysis with Applications, Dover Publications, 2010 (ISBN: 978-0-486-64762-3) — required spring 2023
Marsden and Hoffman, Basic Complex Analysis, 3rd edition, W.H. Freeman, 1998 (ISBN: 978-1-4641-5219-1) — required spring 2022
MATH 4200 - Differential Equations and Dynamical Systems
Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol I: Ordinary Differential Equations, Springer-Verlag, 1995 (ISBN: 0-387-97286-2) — required fall 2022, fall 2023, and spring 2025; 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) — required fall 2022, fall 2023, and spring 2025; free e-book through the Cornell Math Library
Hirsch, Smale, and Devaney, Differential Equations, Dynamical Systems, and an Introduction to Chaos, 3rd edition, Elsevier Science & Technology Books, 2012 (ISBN: 978-0-12-382010-5) — required fall 2021; free e-book through the Cornell Math Library
MATH 4210 - Nonlinear Dynamics and Chaos
Strogatz, Steven H., Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering, 3nd edition, CRC Press LLC, 2024 (ISBN: 978-1-032-70789-1) — required fall 2024
Strogatz, Steven H., Nonlinear Dynamics and Chaos with applications to Physics, Biology, Chemistry, and Engineering, 2nd edition, Westview Press, 2014 (ISBN: 978-0-8133-4910-7) — required spring 2021, 2022, and 2023
MATH 4220 - Applied Complex Analysis
Asmar and Grafakos, Complex Analysis with Applications, Springer, 2018 (ISBN: 978-3-030-06788-5) — required fall 2023-2025; free e-book through the Cornell Math Library
Gamelin, Theodore W., Complex Analysis, Springer-Verlag, 2000 (ISBN: 0-387-95069-9) — required fall 2023; free e-book through the Cornell Math Library
Saff and Snider, Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3rd edition, Prentice Hall PTR, 2003 (ISBN: 978-0-13-907874-3) — required fall 2021 and 2022
MATH 4250 - Numerical Analysis and Differential Equations
Süli and Mayers, An Introduction to Numerical Analysis, Cambridge University Press, 2003 (ISBN: 978-0-521-81026-5) — required fall 2023-2025; free e-book through the Cornell Math Library
Kincaid and Cheney, Numerical Analysis: Mathematics of Scientific Computing, 3rd edition (revised), American Mathematical Society, 2009 (ISBN: 978-0-8218-4788-6) — required fall 2021-2022
Moler, Cleve, Numerical Computing with MATLAB, SIAM, 2004 (ISBN: 0-89871-560-1) — optional fall 2021-2022; free through MathWorks
MATH 4280 - Introduction to Partial Differential Equations
Strauss, Walter, Partial Differential Equations: An Introduction, 2nd edition, John Wiley & Sons, 2007 (ISBN: 0-470-05456-5) — required spring 2022, 2024, and 2025
Salsa, Sandro, Partial Differential Equations in Action: From Modelling to Theory, 3rd edition, Springer, 2016 (ISBN: 978-3-319-31237-8) — required spring 2023; free e-book through Cornell Math Library
Pinchover and Rubinstein, An Introduction to Partial Differential Equations, Cambridge University Press, 2005 (ISBN: 0-521-61323-X) — required spring 2021; free e-book through the Cornell Math Library
MATH 4310 - Linear Algebra
CALM active-learning resources are available for this course; some relate speficically to the Axler text.
Axler, Sheldon, Linear Algebra Done Right, 3rd edition, Springer, 2015 (ISBN: 978-3-319-11079-0) — required fall 2021-2025 and spring 2022, 2024, and 2025; free e-book through the Cornell Math Library
Dillon, Meighan, Linear Algebra: Vector Spaces and Linear Transformations, American Mathematical Society, 2023 (ISBN: 978-1-4704-6986-3) — required fall 2024
Friedberg, Insel, and Spence, Linear Algebra, 5th edition, Prentice Hall PTR, 2018 (ISBN: 978-0-13-486024-4) — required spring 2021 and 2023
MATH 4315 - Linear Algebra with Supplements (discontinued)
Friedberg, Insel, and Spence, Linear Algebra, 5th edition, Prentice Hall PTR, 2018 (ISBN: 978-0-13-486024-4) — required fall 2022
Lang, Serge, Undergraduate Algebra, Springer, 2005 (ISBN: 978-0-387-22025-3) — optional fall 2022; free e-book through the Cornell Math Library
MATH 4330 - Honors Linear Algebra
No required textbook — fall 2024 and 2025
Roman, Steven, Advanced Linear Algebra, 3rd edition, Springer, 2007 (ISBN: 978-0-387-72828-5) — required fall 2022 and 2023; free e-book through the Cornell Math Library
Dummit and Foote, Abstract Algebra, 3rd edition, John Wiley & Sons, 2004 (ISBN: 0-471-43334-9) — required fall 2021
MATH 4340 - Honors Introduction to Algebra
Silverman, Joseph H., Abstract Algebra: An Integrated Approach, American Mathematical Society, 2022 (ISBN: 978-1-4704-6860-6) — required spring 2023-2025
Dummit and Foote, Abstract Algebra, 3rd edition, John Wiley & Sons, 2004 (ISBN: 0-471-43334-9) — required spring 2021-2023
MATH 4370 - Computational Algebra
Cox, Little, and O'Shea, Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 4th edition, Springer, 2015 (ISBN: 978-3-319-16720-6) — required fall 2021 and 2023-2025; 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) — required fall 2025; free e-book through the Cornell Math Library
MATH 4410 - Introduction To Combinatorics I
Sagan, Bruce E., Combinatorics: The Art of Counting, American Mathematical Society, 2020 (ISBN: 978-1-4704-6032-7) — required fall 2024 and 2025; free e-book through the Cornell Math Library
Aigner and Ziegler, Proofs from the Book, 6th edition, Springer, 2018 (ISBN: 978-3-662-57264-1) — required fall 2024; free e-book through the Cornell Math Library
Bona, Miklos, A Walk Through Combinatorics: an introduction to enumeration and graph theory, 4th edition, World Scientific, 2017 (ISBN: 978-981-3148-84-0) — required fall 2022 and 2023
Brualdi, Richard, Introductory Combinatorics (Classic Version), 5th edition, Pearson Education, 2010 (ISBN: 978-0-13-468961-6) — required fall 2021
MATH 4420 - Introduction To Combinatorics II
Oxley, J. G., Matroids, 2nd edition, Oxford University Press, 2011 (ISBN: 978-0-19-856694-6) — required spring 2024; free e-book through the Cornell Math Library
Stanley, Richard P., Algebraic Combinatorics: Walks, Trees, Tableaux, and More, Springer, 2018 (ISBN: 978-1-4899-9285-7) — required spring 2022; free e-book through the Cornell Math Library
MATH 4500 - Matrix Groups
Stillwell, John, Naive Lie Theory, Springer-Verlag, 2008 (ISBN: 978-0-387-78214-0) — required spring 2022, 2024, and 2025; free e-book through the Cornell Math Library
Tapp, Kristopher, Matrix Groups for Undergraduates, 2nd edition, American Mathematical Society, 2016 (ISBN: 978-1-470-42722-1) — required spring 2023 and 2024
No required textbook — spring 2021
MATH 4520 - Classical Geometries and Modern Applications
CALM active-learning resources are available for this course.
No required textbook — fall 2021, 2023, and 2025
MATH 4530 - Introduction to Topology
Munkres, James, Topology, 2nd edition, Prentice Hall PTR, 2000 (ISBN: 0-13-181629-2) — required fall 2022-2025
Bredon, Glen, Topology and Geometry, Springer, 1993 (ISBN: 978-0-387-97926-7) — required fall 2021; free e-book through the Cornell Math Library
MATH 4540 - Introduction to Differential Geometry
No required textbook — spring 2025
Pressley, Andrew, Elementary Differential Geometry, 2nd edition, Springer, 2010 (ISBN: 978-1-84882-890-2) — required spring 2021-2024; free e-book through the Cornell Math Library
MATH 4550 - Applicable Geometry (inactive)
Note: Course was canceled spring 2023 due to low enrollment.
Connelly and Guest, Frameworks, Tensegrities, and Symmetry, Cambridge University Press, 2022 (ISBN: 978-0-521-87910-1) — required spring 2023; free e-book through the Cornell Math Library
Ziegler, Gunter, Lectures on Polytopes, Springer-Verlag, 1994 (ISBN: 0-387-94365-X) — required spring 2021 and optional spring 2023; free e-book through the Cornell Math Library
MATH 4560 - Geometry of Discrete Groups (discontinued)
Meier, John, Groups, Graphs, and Trees: An Introduction to the Geometry of Infinite Groups, Cambridge University Press, 2008 (ISBN: 978-0-521-71977-3) — required fall 2022
Clay and Margalit, Office Hours with a Geometric Group Theorist, Princeton University Press, 2017 (ISBN: 978-0-692-15866-2) — required fall 2022; free e-book through the Cornell Math Library
MATH 4710 - Basic Probability
Anderson, Seppalainen, and Valko, Introduction to Probability, Cambridge University Press, 2017 (ISBN: 978-1-108-41585-9) — required fall 2021-2025 and spring 2021-2025
MATH 4720 - Statistics
Rice, John A., Mathematical Statistics and Data Analysis, 3rd edition, Brooks/Cole, 2007 (ISBN: 0-534-39942-8) — required spring 2021, 2023-2025
DeGroot and Schervish, Probability and Statistics, 4th edition, Pearson Education, 2010 (ISBN: 978-0-321-50046-5) — required spring 2022
MATH 4740 - Stochastic Processes
Lawler, Gregory F., Introduction to Stochastic Processes, 2nd edition, CRC Press LLC, 2006 (ISBN: 978-1-58488-651-8) — required spring 2025
Durrett, Richard, Essentials of Stochastic Processes, 3rd edition, Springer, 2016 (ISBN: 978-3-3194-5613-3) — required spring 2021-2024; free e-book through the Cornell Math Library
MATH 4810 - Mathematical Logic
Enderton, Herbert, A Mathematical Introduction to Logic, 2nd edition, Elsevier Science & Technology Books, 2000 (ISBN: 0-12-238452-0) — required fall 2024
Ebbinghaus, Flum, and Thomas, Mathematical Logic, 3rd edition, Springer-Verlag, 2021 (978-3-030-73838-9) — required fall 2022; free e-book through the Cornell Math Library
MATH 4860 - Applied Logic
Nerode and Shore, Logic for Applications, 2nd edition, Springer, 1997 (0-387-94893-7) — required fall 2023; free e-book through the Cornell Math Library
MATH 5200 - Differential Equations and Dynamical Systems
Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol I: Ordinary Differential Equations, Springer-Verlag, 1995 (0-387-97286-2) — required fall 2022 and 2023, required spring 2025; 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) — required fall 2022 and 2023, required spring 2025; free e-book through the Cornell Math Library
MATH 5220 - Applied Complex Analysis
Asmar and Grafakos, Complex Analysis with Applications, Springer, 2018 (ISBN: 978-3-030-06788-5) — required fall 2023-2025; free e-book through the Cornell Math Library
Gamelin, Theodore W., Complex Analysis, Springer-Verlag, 2000 (ISBN: 0-387-95069-9) — required fall 2023; free e-book through the Cornell Math Library
Saff and Snider, Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3rd edition, Prentice Hall PTR, 2003 (ISBN: 978-0-13-907874-3) — required fall 2022
MATH 5250 - Numerical Analysis and Differential Equations
Süli and Mayers, An Introduction to Numerical Analysis, Cambridge University Press, 2003 (ISBN: 978-0-521-81026-5) — required fall 2023-2025; free e-book through the Cornell Math Library
Kincaid and Cheney, Numerical Analysis: Mathematics of Scientific Computing, 3rd edition (revised), American Mathematical Society, 2009 (ISBN: 978-0-8218-4788-6) — required fall 2021 and 2022
Moler, Cleve, Numerical Computing with MATLAB, SIAM, 2004 (ISBN: 0-89871-560-1) — optional fall 2021 and 2022; free through MathWorks
MATH 5410 - Introduction to Combinatorics I
Sagan, Bruce E., Combinatorics: The Art of Counting, American Mathematical Society, 2020 (ISBN: 978-1-4704-6032-7) — required fall 2024 and 2025; free e-book through the Cornell Math Library
Aigner and Ziegler, Proofs from the Book, 6th edition, Springer, 2018 (ISBN: 978-3-662-57264-1) — required fall 2024; free e-book through the Cornell Math Library
Bona, Miklos, A Walk Through Combinatorics: an introduction to enumeration and graph theory, 4th edition, World Scientific, 2017 (ISBN: 978-981-3148-84-0) — required fall 2022 and 2023
Brualdi, Richard, Introductory Combinatorics (Classic Version), 5th edition, Pearson Education, 2010 (ISBN: 978-0-13-468961-6) — required fall 2021
MATH 5420 - Introduction to Combinatorics II
Oxley, J. G., Matroids, 2nd edition, Oxford University Press, 2011 (ISBN: 978-0-19-856694-6) — required spring 2024; free e-book through the Cornell Math Library
Stanley, Richard P., Algebraic Combinatorics: Walks, Trees, Tableaux, and More, Springer, 2018 (ISBN: 978-1-4899-9285-7) — required spring 2022; free e-book through the Cornell Math Library
MATH 6110 - Real Analysis
Stein and Shakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, 2005 (ISBN: 0-691-11386-6) — required fall 2021-2025
Stein and Shakarchi, Functional Analysis: Introduction to Further Topics in Analysis, Princeton University Press, 2011 (ISBN: 978-0-691-11387-6) — required fall 2021
Stein and Shakarchi, Fourier Analysis: An Introduction, Princeton University Press, 2003 (ISBN: 0-691-11384-X) — required fall 2021
MATH 6120 - Complex Analysis
Stein and Shakarchi, Complex Analysis, Princeton University Press, 2003 (ISBN: 0-691-11385-8) — required spring 2023 and 2025
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 spring 2025
Nehari, Zeev, Conformal Mapping, Dover Publications, 1975 (ISBN: 978-0-486-61137-2) — optional spring 2025
Zakeri, Saeed, A Course in Complex Analysis, Princeton University Press, 2021 (ISBN: 978-0-691-20758-2) — required spring 2024
Gamelin, Theodore W., Complex Analysis, Springer, 2000 (ISBN: 0-387-95069-9) — required spring 2022; free e-book through the Cornell Math Library
Conway, John, Functions of One Complex Variable I, 2nd edition, Springer-Verlag, 1978 (ISBN: 0-387-90328-3) — required spring 2021; free e-book through the Cornell Math Library
MATH 6150 - Partial Differential Equations
Taylor, Michael, Partial Differential Equations I: Basic Theory, 2nd edition, Springer, 2011 (ISBN: 978-1-4419-7054-1) — required fall 2025; free e-book through the Cornell Math Library
Evans, Lawrence, Partial Differential Equations, 2nd edition, American Mathematical Society, 2010 (ISBN: 978-0-8218-4974-3) — required spring 2022 and fall 2023
MATH 6160 - Partial Differential Equations
Evans, Lawrence, Partial Differential Equations, 2nd edition, American Mathematical Society, 2010 (ISBN: 978-0-8218-4974-3) — required fall 2022, and spring 2024
MATH 6210 - Measure Theory and Lebesgue Integration
Axler, Sheldon, Measure, Integration, and Real Analysis, Springer, 2020 (ISBN: 978-3-030-33142-9) — required fall 2024 and 2025; free e-book through the Cornell Math Library
Bartle, Robert, The Elements of Integration and Lebesgue Measure, John Wiley & Sons, 1966 (ISBN: 0-471-04222-6) — required fall 2021 and 2023, optional fall 2022; free e-book through the Cornell Math Library
Lieb and Loss, Analysis, 2nd edition, American Mathematical Society, 2001 (ISBN: 0-8218-2783-9) — required fall 2022; free e-book through the Cornell Math Library
MATH 6220 - Applied Functional Analysis
No required textbook — spring 2022 and 2025
Zeidler, Eberhard, Applied Functional Analysis: applications to mathematical physics, Springer-Verlag, 1995 (ISBN: 0-387-94442-7) — optional spring 2021, required spring 2024; free e-book through the Cornell Math Library
Zeidler, Eberhard, Applied Functional Analysis: main principles and their applications, Springer-Verlag, 1995 (ISBN: 0-387-94422-2) — optional spring 2021; free e-book through the Cornell Math Library
MATH 6230 - Differential Games, Optimal Control, Front Propogation, and Dynamic Programming
No required textbook — spring 2023 and fall 2024
MATH 6260 - Dynamical Systems
No required textbook — fall 2025
Milnor, John, Dynamics in One Complex Variable, 3rd edition, Princeton University Press, 2006 (ISBN: 0-691-12488-4) — required fall 2024; free e-book through the Cornell Math Library
Hubbard, John, Teichmüller Theory and Applications to Geometry, Topology, and Dynamics; Volume 1: Teichmüller Theory, Matrix Editions, 2006 (ISBN: 978-0-9715766-2-9) — required fall 2024
Hubbard, John, Teichmüller Theory and Applications to Geometry, Topology, and Dynamics; Volume 2: Surface Homeomorphisms and Rational Functions, Matrix Editions, 2006 (ISBN: 978-1-943863-00-6) — required fall 2024
Katok and Hasselblat, Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, 1996 (ISBN: 0-521-57557-5) — required fall 2022; free e-book through the Cornell Math Library
MATH 6270 - Applied Dynamical Systems (also MAE 7760)
Guckenheimer and Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, 1983 (ISBN: 0-387-90819-6) — required spring 2023; free e-book through the Cornell Math Library
No required textbook — spring 2021
MATH 6310 - Algebra
Lang, Serge, Algebra, 3rd edition (revised), Springer, 2002 (ISBN: 0-387-95385-X) – required fall 2025; free e-book through the Cornell Math Library
Aluffi, Paolo, Algebra: Chapter 0, American Mathematical Society, 2009 (ISBN: 978-0-89218-4781-7) — required fall 2025; free e-book through the Cornell Math Library
No required textbook — fall 2021 and 2024
Isaacs, I. Martin, Algebra: a graduate course, American Mathematical Society, 2009 (ISBN: 978-0-8218-4799-2) — required fall 2022 and 2023; free e-book through the Cornell Math Library
MATH 6320 - Algebra
No required textbook — spring 2022-2025
Dummit and Foote, Abstract Algebra, 3rd edition, John Wiley & Sons, 2004 (ISBN: 0-471-43334-9) — required spring 2021
Fulton, William, Young Tableaux: with Applications to Representation Theory and Geometry, Cambridge University Press, 1996 (ISBN: 978-0-521-56724-4) — optional spring 2021
Aluffi, Paolo, Algebra: Chapter 0, American Mathematical Society, 2009 (ISBN: 978-0-8218-4781-7) — optional spring 2021; free e-book through the Cornell Math Library
MATH 6330 - Noncommutative Algebra
Pierce, Richard S., Associative Algebras, Springer, 2012 (ISBN: 978-1-4757-0165-4) — required fall 2025; free e-book through the Cornell Math Library
Farb & Dennis, Noncommutative Algebra, Springer-Verlag, 1993 (ISBN: 0-387-94057-X) — optional fall 2025; free e-book through the Cornell Math Library
Rowen, Louis Halle, Graduate Algebra: Noncommutative View, American Mathematical Society, 2008 (ISBN: 978-0-8218-4153-2) — optional fall 2025; free e-book through the Cornell Math Library
Lam, T. Y., A First Course in Noncommutative Rings, 2nd edition, Springer, 2001 (ISBN: 978-0-387-95183-6) — optional fall 2025; free e-book through the Cornell Math Library
No required textbook — fall 2022
MATH 6340 - Commutative Algebra with Applications in Algebraic Geometry
Eisenbud, David, Commutative Algebra with a View Toward Algebraic Geometry, Springer-Verlag, 1995 (ISBN: 0-387-94269-6) — optional fall 2022; free e-book through the Cornell Math Library
Matsumura, Hideyuki, Commutative Ring Theory, Cambridge University Press, 1989 (ISBN: 0-521-36764-6) — optional fall 2022; free e-book through the Cornell Math Library
Atiyah and Macdonald, Introduction to Commutative Algebra, Perseus Books Group, 2000 (ISBN: 0-201-40751-5) — optional fall 2022
No required textbook — fall 2021
MATH 6350 - Homological Algebra
No required textbook — spring 2022 and 2024
MATH 6370 - Algebraic Number Theory
No required textbook — spring 2021-2023 and 2025
MATH 6390 - Lie Groups and Lie Algebras
Kirillov, Alexander Jr., An Introduction to Lie Groups and Lie Algebras, Cambridge University Press, 2008 (ISBN: 978-0-521-88969-8) — required fall 2025; free e-book through the Cornell Math Library
No required textbook — spring 2021 and fall 2024
Hilgert and Neeb, Structure and Geometry of Lie Groups, Springer, 2012 (ISBN: 978-1-4899-9006-8) — required fall 2023; free e-book through the Cornell Math Library
MATH 6410 - Enumerative Combinatorics
Stanley, Richard, Enumerative Combinatorics, Vol. I, 2nd edition, Cambridge University Press, 2011 (ISBN: 1-107-60262-9) — required spring 2022, optional fall 2023 and 2025; free e-book through the Cornell Math Library for the first edition (1997)
Aigner, Martin, A Course in Enumeration, Springer, 2007 (978-3-540-39032-9) — optional fall 2023 and 2025; free e-book through the Cornell Math Library
Van Lint and Wilson, A Course in Combinatorics (paperback), 2nd edition, Cambridge University Press, 2001 (ISBN: 0-521-00601-5) — optional fall 2025; free e-book through the Cornell Math Library
Stanley, Richard, Enumerative Combinatorics, Vol. 2, Cambridge University Press, 2001 (ISBN: 978-0-521-78987-5) — optional fall 2023
MATH 6510 - Algebraic Topology
Weintraub, Steven, Fundamentals of Algebraic Topology, Springer, 2014 (ISBN: 978-1-4939-1843-0) — required spring 2021 and 2025; free e-book through the Cornell Math Library
Hatcher, Allen, Algebraic Topology, Cambridge University Press, 2001 (ISBN: 0-521-79540-0) — required spring 2022, 2023, and 2024
MATH 6520 - Differentiable Manifolds
Guillemin and Pollack, Differential Topology, American Mathematical Society, 2010 (ISBN: 978-0-8218-5913-7) — required fall 2025; free e-book through the Cornell Math Library
Lee, John M., Introduction to Smooth Manifolds, 2nd edition, Springer, 2012 (ISBN: 978-1-4419-9981-8) — required fall 2021 and 2024; free e-book through the Cornell Math Library
No required textbook — fall 2022 and 2023
MATH 6530 - K-Theory and Characteristic Classes
Zakharevich, Inna, K-Theory and Characteristic Classes: a homotopical perspective, 2024 — required fall 2025
No required textbook — fall 2022
MATH 6540 - Homotopy Theory
No required textbook — spring 2022, fall 2024, and spring 2025
MATH 6620 - Riemannian Geometry
Lee, John M., Introduction to Riemannian Manifolds, 2nd edition, Springer, 2018 (ISBN: 978-3-030-80106-9) — required spring 2025; free e-book through the Cornell Math Library
do Carmo, Manfredo Perdigao, Riemannian Geometry, Birkhauser Boston, 1992 (ISBN: 0-8176-3490-8) — required spring 2021 and 2025
Lee, John M., Riemannian Manifolds: An Introduction to Curvature, Springer-Verlag, 1997 (ISBN: 0-387-98271-X) — required spring 2023; free e-book through the Cornell Math Library
Petersen, Peter, Riemannian Geometry, 3rd edition, Springer, 2016 (ISBN: 978-3-319-26652-7) — required spring 2021; free e-book through the Cornell Math Library
MATH 6630 - Symplectic Geometry
McDuff and Salamon, Introduction to Symplectic Topology, 3rd edition, Oxford University Press, 2017 (ISBN: 978-0-19-879490-5) — required spring 2024
Cannas da Silva, Ana, Lectures on Symplectic Geometry, Springer, 2001 (ISBN: 978-3-540-42195-5) — required spring 2024; free e-book through the Cornell Math Library
MATH 6640 - Hyperbolic Geometry
Ratcliffe, John G., Foundations of Hyperbolic Manifolds, 3rd edition, Springer, 2019 (ISBN: 978-3-030-31596-2) — required fall 2025; free e-book through the Cornell Math Library
Thurston, William P., Three-Dimensional Geometry and Topology, vol. 1, Princeton University, 1997 (ISBN: 0-691-08304-5) — required fall 2023; free e-book through the Cornell Math Library
Martelli, Bruno, An introduction to Geometric Topology, CreateSpace Independent Publishing, 2016 (ISBN: 978-1-5395-8023-2) — required fall 2021
MATH 6670 - Algebraic Geometry
Vakil, Ravi, The Rising Sea: Foundations of Algebraic Geometry — required spring 2025
Hartshorne, Robin, Algebraic Geometry, Springer, 1977 (ISBN: 0-387-90244-9) — required spring 2023, optional spring 2025; free e-book through the Cornell Math Library
Shafarevich, Igor R., Basic Algebraic Geometry, Vol 1: Varieties in Projective Space, 3rd edition, Springer-Verlag, 2013 (978-3-642-42726-8) — required spring 2022; free e-book through the Cornell Math Library
Harris, Joe, Algebraic Geometry: A First Course, Springer, 1992 (978-1-4419-3099-6) — optional spring 2022; free e-book through the Cornell Math Library
MATH 6710 - Probability Theory I
Durrett, Rick, Probability: Theory and Examples, 5th edition, Cambridge University Press, 2019 (ISBN: 978-1-108-47368-2) — required fall 2021-2025; free e-book through the Cornell Math Library
MATH 6720 - Probability Theory II
Durrett, Rick, Probability: Theory and Examples, 5th edition, Cambridge University Press, 2019 (ISBN: 978-1-108-47368-2) — required spring 2021-2025; 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) — required spring 2024 and 2025; free e-book through the Cornell Math Library
Williams, David, Probability with Martingales, Cambridge University Press, 1991, (ISBN: 978-0-521-40605-5) — required spring 2024 and 2025
MATH 6740 - Introduction to Mathematical Statistics
Korostelev and Korosteleva, Mathematical Statistics: Asymptotic Minimax Theory, American Mathematical Society, 2011 (ISBN: 978-0-8218-5283-5) — required fall 2021-2024; free e-book through the Cornell Math Library
MATH 6810 - Logic
van den Dries, Lou, Mathematical Logic Lecture Notes (unpublished) — required spring 2025
No required textbook - spring 2021 and 2023
MATH 6830 - Model Theory
Marker, David, Model Theory: An Introduction, Springer-Verlag, 2002 (ISBN: 0-387-98760-6) — required and fall 2023; free e-book through the Cornell Math Library
Tent and Ziegler, A Course in Model Theory, Cambridge University Press, 2012 (ISBN: 978-0-521-76324-0) — required spring 2022; free e-book through the Cornell Math Library
MATH 6840 - Recursion Theory
No required textbook — fall 2025
Soare, Robert I., Turing Computability: Theory and Applications, Springer, 2016 (ISBN: 978-3-642-31932-7) — required fall 2021; free e-book through the Cornell Math Library
MATH 6870 - Set Theory
Kechris, Alexander, Classical Descriptive Set Theory, Springer, 1995 (ISBN: 978-0-387-94374-9) — required fall 2024; free e-book through the Cornell Math Library
Kunen, Kenneth, Set Theory: An Introduction to Independence Proofs, Elsevier Science & Technology Books, 1980 (0-444-86839-9), required fall 2022; free e-book through the Cornell Math Library
MATH 7110 - Topics in Analysis: Geometric Analysis // fall 2023
Li, Peter, Geometric Analysis, Cambridge University Press, 2012 (ISBN: 978-1-107-02064-1) — free e-book through the Cornell Math Library
MATH 7120 - Topics in Analysis: Harnack Inequalities via Nash-Moser Iteration // spring 2021
Saloff-Coste, Laurent, Aspects of Sobolev-Type Inequalities, Cambridge University Press, 2002 (ISBN: 0-521-00607-4) — free e-book through the Cornell Math Library
Gilbarg and Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 2001 (ISBN: 3-540-41160-7) — optional; free e-book through the Cornell Math Library
MATH 7130 - Functional Analysis
Stein and Shakarchi, Functional Analysis: Introduction to Further Topics in Analysis, Princeton University Press, 2011 (ISBN: 978-0-691-11387-6) — fall 2025
No required textbook — fall 2021
MATH 7150 - Fourier Analysis
Muscalu and Schlag, Classical and Multilinear Harmonic Analysis, volume 1, Cambridge University Press, 2013 (ISBN: 978-0-521-88245-3) — required spring 2025; 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) — required spring 2025; free e-book through the Cornell Math Library
No required textbook — spring 2023
MATH 7280 - Topics in Dynamical Systems: Mathematical Biology // fall 2023
Murray, J. D., Mathematical Biology I, 3rd edition, Springer 2002 (ISBN: 978-1-4757-7709-3) — free e-book through the Cornell Math Library
Murray, J. D., Mathematical Biology II: Spatial Models and Biomedical Applications, 3rd edition, Springer, 2002 (ISBN: 978-1-4757-7870-0) — free e-book through the Cornell Math Library
MATH 7280 - Topics in Dynamical Systems: Asymptotics and Perturbation Methods // spring 2021
Bender and Orszag, Advanced Mathematical Methods for Scientists and Engineers, Springer, 1999 (ISBN: 978-0-387-98931-0) — required spring 2021, free e-book through the Cornell Math Library
MATH 7310 - Topics in Algebra // spring 2025
Reference: Bertin, José, The Punctual Hilbert Scheme: An Introduction
MATH 7390 - Topoics in Lie Groups and Lie Algebras: Automorphic Forms and Representation Theory // spring 2024
Bump, Daniel, Automorphic Forms and Representations, Cambridge University Press, 1998 (ISBN: 0-521-65818-7) — free e-book through the Cornell Math Library
Berstein, Gelbart, et al, An Introduction to the Langlands Program, Birkhauser Boston, 2004 (ISBN: 978-0-8176-3211-3) — free e-book through the Cornell Math Library
MATH 7510 - Berstein Seminar in Topology // fall 2024
Duchin and Walch (editors), Political Geometry: Rethinking Redistricting in the US with Math, Law, and Everything in Between, Birkhäuser Cham, 2022 (ISBN: 978-3-319-69160-2) — optional; free e-book through the Cornell Math Library
MATH 7510 - Berstein Seminar in Topology: 4-Manifolds // fall 2023
Gompf and Stipsicz, 4-Manifolds and Kirby Calculus, American Mathematical Society, 1999 (ISBN: 978-0-8218-0994-5) — free e-book through the Cornell Math Library
MATH 7520 - Berstein Seminar in Topology: Derived and Spectral Algebraic Geometry // spring 2021
Lurie, Jacob, Derived Algebraic Geometry, Thesis (Ph.D.), MIT, 2004
MATH 7570 - Topics in Topology: Category Theory // fall 2023
Riehl, Emily, Category Theory in Context, Dover Publications, 2016 (ISBN: 978-0-486-80903-8)
MATH 7670 - Topics in Algebraic Geometry: Positivity in Algebraic Geometry // spring 2024
Lazarsfeld, Robert, Positivity in Algebraic Geometry I, Springer-Verlag, 2004 (ISBN: 978-3-540-22533-1) — free e-book through the Cornell Math Library
Lazarsfeld, Robert, Positivity in Algebraic Geometry II: Positivity for Vector Bundles and Multiplier Ideals, Springer-Verlag, 2004 (ISBN: 978-3-540-22533-1) — free e-book through the Cornell Math Library
MATH 7670 - Topics in Algebraic Geometry // spring 2023
Voisin, Claire, Hodge Theory and Complex Algebraic Geometry I, Cambridge University Press, 2002 (ISBN: 978-0-521-80260-4) — free e-book through the Cornell Math Library
Voisin, Claire, Hodge Theory and Complex Algebraic Geometry II, Cambridge University Press, 2002 (ISBN: 978-0-521-80283-3) — free e-book through the Cornell Math Library
MATH 7710 - Topics in Probability Theory: Math for AI Safety // fall 2024
Bishop, Christopher, Deep Learning: Foundations and Concepts
Murphy, Kevin, Probabilistic Machine Learning
MATH 7710 - Topics in Probability Theory: The Theory of Dirichlet Forms // spring 2024
Fukushima, Oshima, and Takeda, Dirichlet Forms and Symmetric Markov Processes, 2nd edition, De Gruyter, 2011 (ISBN: 978-3-11-021808-4) — free e-book through the Cornell Math Library
MATH 7710 - Topics in Probability Theory: Limits of Discrete Random Structures // spring 2022
Lyons and Peres, Probability on Trees and Networks, Cambridge University Press, 2016 (ISBN: 978-1-107-16015-6)
MATH 7720 - Topics in Stochastic Processes // spring 2023
Yadin, Ariel, Harmonic Functions and Random Walks on Groups (book in preparation).
MATH 7720 - Topics in Stochastic Processes: Critical Percolation and Planar Scaling Limits // spring 2021
Bollobas and Riordan, Percolation, Cambridge University Press, 2006 (ISBN: 978-0-521-87232-4) — free e-book through the Cornell Math Library
Werner, Wendelin, Lectures on Two-Dimensional Critical Percolation, IAS-Park City Mathematics Series vol. 16, Statistical Mechanics, 297-360, AMS, 2009, arXiv:0710.0856