Textbook History
The following is a 5-year history (2020–2024) 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, $225 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 2020-2024
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 2020-2022
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 2020-2024; 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 2018, CreateSpace Independent Publishing, 2018 (ISBN: 978-1724458322) — required fall 2022-2024 and spring 2023-2024
Hass, Heil, and Weir, Thomas’ Calculus: Early Transcendentals, Single Variable, 14th edition, Pearson Education, 2018 (ISBN: 978-0-13-443941-9) — required spring 2020-2022, summer 2020-2024 and fall 2020-2021
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 2018, CreateSpace Independent Publishing, 2018 (ISBN: 978-1724458322) — required fall 2022-2024 and spring 2023-2024
Hass, Heil, and Weir, Thomas’ Calculus: Early Transcendentals, Single Variable, 14th edition, Pearson Education, 2018 (ISBN: 978-0-13-443941-9) — required fall 2020-2021 and spring 2020-2022
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 2023-2024
No required textbook — fall 2020-2022, 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; 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
Dixit, Skeath, and Reiley, Games of Strategy, 4th edition, W. W. Norton and Company, 2014 (ISBN: 978-0-393-12444-6) — required spring 2020
Dixit and Nalebuff, The Art of Strategy: A Game Theorist's Guide to Success in Business and Life, W. W. Norton and Company, 2010 (ISBN: 978-0-393-33717-4) — optional spring 2020
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 2020-2024 and spring 2020-2024
MATH 1890 - FWS: Writing in Mathematics
Kahneman, Daniel, Thinking, Fast and Slow, Farrar, Straus & Giroux, 2013 (ISBN: 978-0-374-53355-7) — required spring and fall 2020
O'Neil, Cathy, Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy, Crown/Archetype, 2017 (ISBN: 978-0-553-41883-5) — required spring and fall 2020; free e-book through the Cornell Math Library
Saina, Angela, Inferior: How Science Got Women Wrong - and the New Research That's Rewriting the Story, Beacon Press, 2018 (ISBN: 978-0-8070-1003-7) — required spring and fall 2020
Gladwell, Malcom, Blink: The Power of Thinking Without Thinking, Little Brown & Company, 2007 (ISBN: 978-0-316-01066-5) — required spring 2020
Doxiadis and Papadimitriou, Logicomix: An Epic Search for Truth, Bloomsbury Publishing USA, 2009 (ISBN: 978-1-59691-452-0) — required spring 2020
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 2020-2024, fall 2020-2024, and spring 2020-2024
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 2020-2024, spring 2020-2024, summer 2020-2024
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 2020, 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 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
Lay, Lay, and McDonald, Linear Algebra and its Applications, 5th edition, Pearson Education, 2016 (ISBN: 978-0-321-98238-4) — required fall 2020, spring 2020
MATH 2220 - Multivariable Calculus
Shimamoto, Don, Multivariable Calculus, 2019 (ISBN: 978-1-7082-4699-0) — required fall 2022-2024, spring 2022-2024
Marsden and Tromba, Vector Calculus, 6th edition, W. H. Freeman, 2013 (ISBN: 1-4292-1508-9) — required fall 2020-2021 and spring 2020-2021
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 2020-2024
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 2020-2024
MATH 2310 - Linear Algebra for Data Science
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 2020-2022
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 2022-2024, spring 2023-2024, summer 2022-2024
Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, 11th edition, John Wiley & Sons, 2017 (ISBN: 978-1-119-38164-8) — required summer 2020-2021, fall 2020-2021, spring 2020-2022
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 2022-2024, spring 2023-2024, and summer 2023-2024
Lay, Lay, and McDonald, Linear Algebra and its Applications, 5th edition, Pearson Education, 2016 (ISBN: 978-0-321-98238-4) — required fall 2020-2021, spring 2020-2022, and summer 2020-2022
MATH 3040 - Prove it!
CALM active-learning resources are available for this course.
Beck and Geoghegan, The Art of Proof: Basic Training for Deeper Mathematics, Springer (ISBN: 978-1-4419-7022-0) — required fall 2020-2021, 2024, and spring 2020-2024; 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 2020, 2022, 2023, and 2024 and spring 2020-2024; 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, 2023, and 2024
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 2020 and 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 2020-2022; 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 2020-2021; 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 and 2024; 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 2023-2024 and spring 2023-2024; 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 2020 and 2021, and spring 2024
MATH 3340 - Abstract Algebra
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 2020-2021
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 2020-2022, optional spring 2024; 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 2020-2024
MATH 4030 - History of Mathematics
Katz, Victor, A History of Mathematics: an introduction, 3rd edition, Addison Wesley, 2009 (ISBN: 978-0-321-65674-2) — required spring 2024
No required textbook — fall 2020 and spring 2022
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 2020-2022 and 2024
Rosenlicht, Maxwell, Introduction to Analysis, Dover Publications, 1986 (ISBN: 978-0-486-65038-8) — required spring 2024
Abbott, Stephen, Understanding Analysis, 2nd edition, Springer-Verlag, 2002 (ISBN: 978-1-4939-2711-1) — required fall 2023; free e-book through the Cornell Math Library
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
Rudin, Walter, Principles of Mathematical Analysis, 3rd edition, McGraw-Hill, 1976 (ISBN: 0-07-054235-X) — required spring 2020
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 2020-2024
MATH 4180 – Complex Analysis
Gamelin, Theodore W., Complex Analysis, Springer-Verlag, 2000 (ISBN: 0-387-95069-9) — required spring 2021 and 2024; 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
Levinson and Redheffer, Complex Variables, Holden-Day, Inc., 1970 (ISBN: 0-8162-5104-5) — required spring 2020
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 and 2023; 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; 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
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 fall 2020
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
Devaney, Robert, An Introduction to Chaotic Dynamical Systems, 2nd edition, CRC Press, 2003 (ISBN: 978-0-8133-4085-2) — required spring 2020
MATH 4220 - Applied Complex Analysis
Asmar and Grafakos, Complex Analysis with Applications, Springer, 2018 (ISBN: 978-3-030-06788-5) — required fall 2023 and 2024; 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 2020-2022
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 and 2024; 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 2020-2022
Moler, Cleve, Numerical Computing with MATLAB, SIAM, 2004 (ISBN: 0-89871-560-1) — optional fall 2020-2022; 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 2020, 2022, and 2024
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 2020-2024 and spring 2022 and 2024; 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 fall 2020, spring 2021 and 2023; optional spring 2020
Cooperstein, Bruce, Advanced Linear Algebra, 2nd edition, CRC Press LLC, 2015 (ISBN: 978-1-4822-4884-5) — optional spring 2020; free e-book through the Cornell Math Library
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 2020 and 2022; free e-book through the Cornell Math Library
Friedberg, Insel, and Spence, Linear Algebra, 4th edition, Prentice Hall PTR, 2003 (ISBN: 0-13-008451-4) — required fall 2020
MATH 4330 - Honors Linear Algebra
No required textbook — fall 2024
Roman, Steven, Advanced Linear Algebra, 3rd edition, Springer, 2007 (ISBN: 978-0-387-72828-5) — required fall 2020, 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 and 2024
Dummit and Foote, Abstract Algebra, 3rd edition, John Wiley & Sons, 2004 (ISBN: 0-471-43334-9) — required spring 2020-2023
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, 2023, and 2024; free e-book through the Cornell Math Library
MATH 4410 - Introduction To Combinatorics I
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
Sagan, Bruce E., Combinatorics: The Art of Counting, American Mathematical Society, 2020 (ISBN: 978-1-4704-6032-7) — 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 2020 and 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
Van Lint and Wilson, A Course in Combinatorics, 2nd edition, Cambridge University Press, 2001 (ISBN: 0-521-00601-5) — required spring 2020
MATH 4500 - Matrix Groups
Tapp, Kristopher, Matrix Groups for Undergraduates, 2nd edition, American Mathematical Society, 2016 (ISBN: 978-1-470-42722-1) — required spring 2023 and 2024
Stillwell, John, Naive Lie Theory, Springer-Verlag, 2008 (ISBN: 978-0-387-78214-0) — required spring 2020, 2022, and 2024; free e-book through the Cornell Math Library
No required textbook — spring 2021
MATH 4520 - Classical Geometries
CALM active-learning resources are available for this course.
No required textbook — fall 2021 and 2023
MATH 4530 - Introduction to Topology
Munkres, James, Topology, 2nd edition, Prentice Hall PTR, 2000 (ISBN: 0-13-181629-2) — required fall 2022, 2023, and 2024
Bredon, Glen, Topology and Geometry, Springer, 1993 (ISBN: 978-0-387-97926-7) — required fall 2021; free e-book through the Cornell Math Library
Jänich, Klaus, Topology, Springer, 1984 (ISBN: 978-0-387-90892-2) — required fall 2020
MATH 4540 - Introduction to Differential Geometry
Pressley, Andrew, Elementary Differential Geometry, 2nd edition, Springer, 2010 (ISBN: 978-1-84882-890-2) — required spring 2020-2024; free e-book through the Cornell Math Library
MATH 4550 - Applicable Geometry
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 2020 and 2022
Clay and Margalit, Office Hours with a Geometric Group Theorist, Princeton University Press, 2017 (ISBN: 978-0-692-15866-2) — required fall 2022, optional fall 2020; 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 2020-2024 and spring 2020-2024
MATH 4720 - Statistics
Rice, John A., Mathematical Statistics and Data Analysis, 3rd edition, Brooks/Cole, 2007 (ISBN: 0-534-39942-8) — required spring 2020, 2021, 2023, and 2024
DeGroot and Schervish, Probability and Statistics, 4th edition, Pearson Education, 2010 (ISBN: 978-0-321-50046-5) — required spring 2022
MATH 4740 - Stochastic Processes
Durrett, Richard, Essentials of Stochastic Processes, 3rd edition, Springer, 2016 (ISBN: 978-3-3194-5613-3) — required spring 2020-2024; 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
Nerode and Shore, Logic for Applications, 2nd edition, Springer-Verlag, 1997 (ISBN: 0-387-94893-7) — required fall 2020; 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; 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; 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 and 2024; 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 and 2024; 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
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
Sagan, Bruce E., Combinatorics: The Art of Counting, American Mathematical Society, 2020 (ISBN: 978-1-4704-6032-7) — 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 2020-2024
Stein and Shakarchi, Functional Analysis: Introduction to Further Topics in Analysis, Princeton University Press, 2011 (ISBN: 978-0-691-11387-6) — required fall 2020-2021
Stein and Shakarchi, Fourier Analysis: An Introduction, Princeton University Press, 2003 (ISBN: 0-691-11384-X) — required fall 2020-2021
MATH 6120 - Complex Analysis
Zakeri, Saeed, A Course in Complex Analysis, Princeton University Press, 2021 (ISBN: 978-0-691-20758-2) — required spring 2024
Stein and Shakarchi, Complex Analysis, Princeton University Press, 2003 (ISBN: 0-691-11385-8) — required spring 2020 and 2023
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
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 spring 2020, 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; 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 2020-2021 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
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
No required textbook — spring 2020 and 2022
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
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 2020 and 2022; free e-book through the Cornell Math Library
Arnold, V. I., Geometrical Methods in the Theory of Ordinary Differential Equations, 2nd edition, Springer-Verlag, 1988 (ISBN: 0-387-96649-8) — required fall 2020; 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 2020 and 2023; free e-book through the Cornell Math Library
No required textbook — spring 2021
MATH 6310 - Algebra
No required textbook — fall 2020, 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, 2023, and 2024
Dummit and Foote, Abstract Algebra, 3rd edition, John Wiley & Sons, 2004 (ISBN: 0-471-43334-9) — required spring 2020 and 2021
Fulton, William, Young Tableaux: with Applications to Representation Theory and Geometry, Cambridge University Press, 1996 (ISBN: 978-0-521-56724-4) — optional spring 2020 and 2021
Aluffi, Paolo, Algebra: Chapter 0, American Mathematical Society, 2009 (ISBN: 978-0-8218-4781-7) — optional spring 2020 and 2021; free e-book through the Cornell Math Library
MATH 6330 - Noncommutative Algebra
No required textbook — fall 2022
Rowen, Louis Halle, Graduate Algebra: Noncommutative View, American Mathematical Society, 2008 (ISBN: 978-0-8218-4153-2) — required fall 2020; free e-book through the Cornell Math Library
Farb & Dennis, Noncommutative Algebra, Springer-Verlag, 1993 (ISBN: 0-387-94057-X) — required fall 2020; free e-book through the Cornell Math Library
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 2020-2021
MATH 6350 - Homological Algebra
No required textbook — spring 2020, 2022, and 2024
MATH 6370 - Algebraic Number Theory
No required textbook — spring 2020-2023
MATH 6390 - Lie Groups and Lie Algebras
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 2020 and 2022, optional fall 2023; free e-book through the Cornell Math Library for the first edition (1997)
Stanley, Richard, Enumerative Combinatorics, Vol. 2, Cambridge University Press, 2001 (ISBN: 978-0-521-78987-5) — optional fall 2023
Aigner, Martin, A Course in Enumeration, Springer, 2007 (978-3-540-39032-9) — optional fall 2023; free e-book through the Cornell Math Library
MATH 6510 - Algebraic Topology I
Hatcher, Allen, Algebraic Topology, Cambridge University Press, 2001 (ISBN: 0-521-79540-0) — required spring 2020, 2022, 2023, and 2024
Weintraub, Steven, Fundamentals of Algebraic Topology, Springer, 2014 (ISBN: 978-1-4939-1843-0) — required spring 2021; free e-book through the Cornell Math Library
MATH 6520 - Differentiable Manifolds I
Lee, John M., Introduction to Smooth Manifolds, 2nd edition, Springer, 2012 (ISBN: 978-1-4419-9981-8) — required fall 2020, 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
No required textbook — fall 2020 and 2022
MATH 6540 - Homotopy Theory
No required textbook — spring 2022 and fall 2024
MATH 6620 - Riemannian Geometry
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
do Carmo, Manfredo Perdigao, Riemannian Geometry, Birkhauser Boston, 1992 (ISBN: 0-8176-3490-8) — required spring 2021
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 fall 2020 and spring 2024
Cannas da Silva, Ana, Lectures on Symplectic Geometry, Springer, 2001 (ISBN: 978-3-540-42195-5) — required fall 2020 and spring 2024; free e-book through the Cornell Math Library
MATH 6640 - Hyperbolic Geometry
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
Hartshorne, Robin, Algebraic Geometry, Springer, 1977 (ISBN: 0-387-90244-9) — required spring 2023; 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 2020-2024; 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 2020-2024; 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; 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
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 2020-2024; free e-book through the Cornell Math Library
MATH 6810 - Logic
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 spring 2020 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
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 2020 and 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
No required textbook — fall 2021
MATH 7150 - Fourier Analysis
No required textbook — spring 2023
Muscalu and Schlag, Classical and Multilinear Harmonic Analysis, volume 1, Cambridge University Press, 2013 (ISBN: 978-0-521-88245-3) — required fall 2020; 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 fall 2020; free e-book through the Cornell Math Library
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 2020-2021, free e-book through the Cornell Math Library
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 7610 - Topics in Geometry: Complex Geometry // fall 2020
Demailly, Jean-Pierre, Complex Analytic and Differential Geometry, 2012
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 7670 - Topics in Algebraic Geometry: Hilbert Schemes // fall 2020
Hartshorne, Robin, Deformation Theory, Springer, 2010 (ISBN: 978-1-4419-1595-5) — free e-book through the Cornell Math Library
Sernesi, Edoardo, Deformations of Algebraic Schemes, Springer, 2006 (ISBN: 978-3-540-30608-5) — 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