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Textbook assignments for fall 2020, spring 2021, and summer 2021 are listed below. The Cornell Store offers a wide variety of options for purchase or rental (new books, used books, and e-books) both in store and through their web site.
Thanks to the Cornell Mathematics Library, free versions of textbooks are available (and linked below) for many upper-level and graduate courses in mathematics.
MATH 1002 - PSP Calculus Preparation and Quantitative Methods // summer 2021
Lial, Greenwell, and Ritchey, Calculus with Applications, 11th edition, Pearson Education, 2016 (ISBN: 978-0-321-97942-1).
MATH 1003 - PSP Statistics Preparation and Quantitative Methods // summer 2021
Lial, Greenwell, and Ritchey, Finite Mathematics, 11th edition, Pearson Education, 2016 (ISBN: 978-0-321-97943-8).
MATH 1101 - Calculus Preparation // fall 2020
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 // fall 2020
Lial, Greenwell, and Ritchey, Finite Mathematics, 11th edition, Pearson Education, 2016 (ISBN: 978-0-321-97943-8) — Instant Access through Canvas
(optional) Lial, Greenwell, and Ritchey, Student's Solutions Manual for Finite Mathematics, 11th edition, Pearson Education, 2016 (ISBN: 978-0-321-99742-5).
MATH 1106 - Modeling with Calculus for the Life Sciences // spring 2021
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 2020, spring 2021, summer 2021
Hass, Heil, and Weir, Thomas’ Calculus: Early Transcendentals, Single Variable, 14th edition, Pearson Education, 2018 (ISBN: 978-0-13-443941-9) — Instant Access through Canvas
MATH 1120 - Calculus II // fall 2020, spring 2021
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 1300 - Mathematical Explorations // fall 2020, spring 2021
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 1340 - Strategy, Cooperation, and Conflict // spring 2021
Robinson and Ullman, The Mathematics of Politics, 2nd edition, CRC Press LLC, 2016 (ISBN: 978-1-4987-9886-0).
MATH 1710 - Statistical Theory and Application in the Real World // fall 2020, spring 2021
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 2020
Kahneman, Daniel, Thinking, Fast and Slow, Farrar, Straus & Giroux, 2013 (ISBN: 978-0-374-53355-7).
O'Neil, Cathy, Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy, Crown/Archetype, 2017 (ISBN: 978-0-553-41883-5) — 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).
MATH 1910 - Calculus For Engineers // fall 2020, spring 2021, summer 2021
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 // fall 2020, spring 2021, summer 2021
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 2130 - Calculus III // spring 2021
Hughes-Hallett, et al., Calculus: Single and Multivariable, 7th edition, Wiley, 2017 (ISBN: 978-1-119-26000-4) — Instant Access through Canvas
MATH 2210 - Linear Algebra // fall 2020, spring 2021
fall 2020 - Lay, Lay, and McDonald, Linear Algebra and its Applications, 5th edition, Pearson Education, 2016 (ISBN: 978-0-321-98238-4) — Instant Access through Canvas
spring 2021 - W. Keith Nicholson, Linear Algebra with Applications, Version 2019 Revision A (Open Edition)
MATH 2220 - Multivariable Calculus // fall 2020, spring 2021
Marsden and Tromba, Vector Calculus, 6th edition, W. H. Freeman, 2013 (ISBN: 1-4292-1508-9) — Instant Access through Canvas
MATH 2230 - Theoretical Linear Algebra and Calculus // fall 2020
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 2021
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 with Applications // fall 2020
Strang, Gilbert, Introduction to Linear Algebra, 5th edition, Wellesley-Cambridge Press, 2016 (ISBN: 978-0-9802327-7-6).
MATH 2930 - Differential Equations for Engineers // fall 2020, spring 2021, summer 2021
Boyce, DiPrima, and Meade, Elementary Differential Equations and Boundary Value Problems, 11th edition, John Wiley & Sons, 2017 (ePub ISBN: 978-1-119-38164-8) — Instant Access through Canvas
MATH 2940 - Linear Algebra for Engineers // fall 2020, spring 2021, summer 2021
Lay, Lay, and McDonald, Linear Algebra and its Applications, 5th edition, Pearson Education, 2016 (ISBN: 978-0-321-98238-4) — Instant Access through Canvas
MATH 3040 - Prove It! // fall 2020, spring 2021
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 2020, spring 2021
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 2020
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 3230 - Introduction to Differential Equations // fall 2020
Braun, Martin, Differential Equations and Their Applications, 4th edition, Springer, 1993 (ISBN: 978-0-387-97894-9) — free e-book through the Cornell Math Library
Olver, Peter, Introduction to Partial Differential Equations, Springer, 2014 (ISBN: 978-3-319-02098-3) — free e-book through the Cornell Math Library
MATH 3320 - Introduction to Number Theory // fall 2020
Weissman, Martin, An Illustrated theory of Numbers, American Mathematical Society, 2017 (ISBN: 978-1-4704-3493-9).
MATH 3340 - Abstract Algebra // spring 2021
Beachy and Blair, Abstract Algebra, 4th edition, Waveland Press, Inc., 2019 (ISBN: 978-1-4786-3869-8).
MATH 3360 - Applicable Algebra // spring 2021
Childs, Lindsay N., A Concrete Introduction to Higher Algebra, 3rd edition, Springer-Verlag, 2009 (ISBN: 0-387-74527-5) — free e-book through the Cornell Math Library
MATH 3610 - Mathematical Modeling // fall 2020
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 4130 - Honors Introduction to Analysis I // fall 2020, spring 2021
fall 2020 — Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6).
spring 2021 — No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 4140 - Honors Introduction to Analysis II // spring 2021
Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6).
MATH 4180 – Complex Analysis // spring 2021
Gamelin, Theodore W., Complex Analysis, Springer-Verlag, 2000 (ISBN: 0-387-95069-9) — free e-book through the Cornell Math Library
MATH 4200 - Differential Equations and Dynamical Systems // fall 2020
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)
MATH 4210 - Nonlinear Dynamics and Chaos // spring 2021
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)
MATH 4220 - Applied Complex Analysis // fall 2020
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) — Instant Access through Canvas
MATH 4250 - Numerical Analysis and Differential Equations // fall 2020
Kincaid and Cheney, Numerical Analysis: Mathematics of Scientific Computing, 3rd edition (revised), American Mathematical Society, 2009 (ISBN: 978-0-8218-4788-6).
(optional) Moler, Cleve, Numerical Computing with MATLAB, SIAM, 2004 (ISBN: 0-89871-560-1) — free through MathWorks
MATH 4280 - Introduction to Partial Differential Equations // spring 2021
Pinchover and Rubinstein, An Introduction to Partial Differential Equations, Cambridge University Press, 2005 (ISBN: 0-521-61323-X) — free e-book through the Cornell Math Library
MATH 4310 - Linear Algebra // fall 2020, spring 2021
Friedberg, Insel, and Spence, Linear Algebra, 5th edition, Prentice Hall PTR, 2018 (ISBN: 978-0-13-486024-4) — Instant Access through Canvas
fall 2020 — 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 4315 - Linear Algebra with Supplements // fall 2020
Friedberg, Insel, and Spence, Linear Algebra, 4th edition, Prentice Hall PTR, 2003 (ISBN: 0-13-008451-4) — Instant Access through Canvas
(optional) Lang, Serge, Undergraduate Algebra, Springer, 2005 (ISBN: 978-0-387-22025-3) — free e-book through the Cornell Math Library
MATH 4330 - Honors Linear Algebra // fall 2020
Roman, Steven, Advanced Linear Algebra, 3rd edition, Springer, 2007 (ISBN: 978-0-387-72828-5) — free e-book through the Cornell Math Library
MATH 4340 - Honors Introduction to Algebra // spring 2021
Dummit and Foote, Abstract Algebra, 3rd edition, John Wiley & Sons, 2004 (ISBN: 0-471-43334-9).
MATH 4410 - Introduction to Combinatorics I // fall 2020
Brualdi, Richard, Introductory Combinatorics (Classic Version), 5th edition, Pearson Education, 2010 (ISBN: 978-0-13-468961-6).
MATH 4500 - Matrix Groups // spring 2021
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 4530 - Introduction to Topology // fall 2020
Jänich, Klaus, Topology, Springer, 1984 (ISBN: 978-0-387-90892-2).
MATH 4540 - Introduction to Differential Geometry // spring 2021
Pressley, Andrew, Elementary Differential Geometry, 2nd edition, Springer-Verlag, 2010 (ISBN: 978-1-84882-890-2) — free e-book through the Cornell Math Library
MATH 4550 - Applicable Geometry // spring 2021
Ziegler, Gunter, Lectures on Polytopes, Springer-Verlag, 1994 (ISBN: 0-387-94365-X) — free e-book through the Cornell Math Library
MATH 4560 - Geometry of Discrete Groups // fall 2020
Meier, John, An Introduction to the Geometry of Infinite Groups, Cambridge University Press, 2008 (ISBN: 978-0-521-71977-3) — free e-book through the Cornell Math Library
(optional) Clay and Margalit, Office Hours with a Geometric Group Theorist, Princeton University Press, 2017 (ISBN: 978-0-691-15866-2) — free e-book through the Cornell Math Library
MATH 4710 - Basic Probability // fall 2020, spring 2021
Anderson, Seppalainen, and Valko, Introduction to Probability, Cambridge University Press, 2017 (ISBN: 978-1-108-41585-9) — Instant Access through Canvas (spring 2021)
MATH 4720 - Statistics // spring 2021
Rice, John A., Mathematical Statistics and Data Analysis, 3rd edition, Brooks/Cole, 2007 (ISBN: 0-534-39942-8).
MATH 4740 - Stochastic Processes // spring 2021
Durrett, Richard, Essentials of Stochastic Processes, 3rd edition, Springer, 2016 (ISBN: 978-3-3194-5613-3) — free e-book through the Cornell Math Library
MATH 4810 - Mathematical Logic // fall 2020
Nerode and Shore, Logic for Applications, 2nd edition, Springer, 1997 (ISBN: 0-387-94893-7) — available through Canvas
MATH 6110 - Real Analysis // fall 2020
Stein and Shakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, 2005 (ISBN: 0-691-11386-6).
Stein and Shakarchi, Functional Analysis: Introduction to Further Topics in Analysis, Princeton University Press, 2011 (ISBN: 978-0-691-11387-6).
Stein and Shakarchi, Fourier Analysis: An Introduction, Princeton University Press, 2003 (ISBN: 0-691-11384-X).
MATH 6120 - Complex Analysis // spring 2021
Conway, John, Functions of One Complex Variable I, 2nd edition, Springer-Verlag, 1978 (ISBN: 0-387-90328-3) — free e-book through the Cornell Math Library
MATH 6210 - Measure Theory and Lebesgue Integration // fall 2020
Bartle, Robert, The Elements of Integration and Lebesgue Measure, John Wiley & Sons, 1966 (ISBN: 0-471-04222-6) — free e-book through the Cornell Math Library
MATH 6220 - Applied Functional Analysis // spring 2021
Zeidler, Eberhard, Applied Functional Analysis: main principles and their applications, Springer-Verlag, 1995 (ISBN: 0-387-94422-2) — free e-book through the Cornell Math Library
Zeidler, Eberhard, Applied Functional Analysis: applications to mathematical physics, Springer-Verlag, 1995 (ISBN: 0-387-94442-7) — free e-book through the Cornell Math Library
MATH 6260 - Dynamical Systems // fall 2020
Katok and Hasselblat, Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, 1996 (ISBN: 0-521-57557-5) — 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) — free e-book through the Cornell Math Library
MATH 6270 - Applied Dynamical Systems (also MAE 7760) // spring 2021
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6310 - Algebra // fall 2020
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6320 - Algebra // spring 2021
Dummit and Foote, Abstract Algebra, 3rd edition, John Wiley & Sons, 2004 (ISBN: 0-471-43334-9).
(optional) Fulton, William, Young Tableaux: with Applications to Representation Theory and Geometry, Cambridge University Press, 1996 (ISBN: 978-0-521-56724-4)
(optional) Aluffi, Paolo, Algebra: Chapter 0, American Mathematical Society, 2009 (ISBN: 978-0-8218-4781-7) — free e-book through the Cornell Math Library
MATH 6330 - Noncommutative Algebra // fall 2020
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
Farb & Dennis, Noncommutative Algebra, Springer-Verlag, 1993 (ISBN: 0-387-94057-X) — free e-book through the Cornell Math Library
MATH 6340 - Commutative Algebra with Applications in Algebraic Geometry // fall 2020
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6370 - Algebraic Number Theory // spring 2021
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6390 - Lie Groups and Lie Algebras // spring 2021
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6510 - Algebraic Topology // spring 2021
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 2020
Lee, John M., Introduction to Smooth Manifolds, 2nd edition, Springer-Verlag, 2012 (ISBN: 978-1-4419-9981-8) — free e-book through the Cornell Math Library
MATH 6530 - K-Theory and Characteristic Classes // fall 2020
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6620 - Riemannian Geometry // spring 2021
do Carmo, Manfredo Perdigao, Riemannian Geometry, Birkhauser Boston, 1992 (ISBN: 0-8176-3490-8).
Petersen, Peter, Riemannian Geometry, 3rd edition, Springer, 2016 (ISBN: 978-3-319-26652-7) — free e-book through the Cornell Math Library
MATH 6630 - Symplectic Geometry // fall 2020
Cannas da Silva, Ana, Lectures on Symplectic Geometry, Springer-Verlag, 2001 (ISBN: 978-3-540-42195-5) — free e-book through the Cornell Math Library
McDuff and Salamon, Introduction to Symplectic Topology, Oxford University Press, 2017 (Edition: 3; ISBN: 978-0-19-879490-5).
MATH 6710 - Probability Theory I // fall 2020
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 2021
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 6740 - Mathematical Statistics II // fall 2020
Korostelev and Korosteleva, Mathematical Statistics: Asymptotic Minimax Theory, American Mathematical Society, 2011 (ISBN: 978-0-8218-5283-5) — free e-book through the Cornell Math Library
MATH 6810 - Logic // spring 2021
No required textbook. The instructor may provide notes, references, or links to on-line resources.
MATH 6870 - Set Theory // fall 2020
Kechris, Alexander, Classical Descriptive Set Theory, Springer, 1995 (ISBN: 978-0-387-94374-9) — 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
(optional) Gilbarg and Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 2001 (ISBN: 3-540-41160-7) — free e-book through the Cornell Math Library
MATH 7150 - Fourier Analysis // fall 2020
Muscalu and Schlag, Classical and Multilinear Harmonic Analysis, volume 1, Cambridge University Press, 2013 (ISBN: 978-0-521-88245-3) — free e-book through the Cornell Math Library
Muscalu and Schlag, Classical and Multilinear Harmonic Analysis, volume 2, Cambridge University Press, 2013 (ISBN: 978-1-107-03182-1) — free e-book through the Cornell Math Library
MATH 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) — 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 7610 - Topics in Geometry: Complex Geometry // fall 2020
Demailly, Jean-Pierre, Complex Analytic and Differential Geometry, 2012.
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 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