BOOKS FOR MATH 5330 (Fall 2016)

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The required text is:

• Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, Undergraduate Texts in Mathematics, by David A. Cox, John Little, Donal O'Shea, Springer, 4th edition; denoted [CLO] in this course.

Other books that might be helpful are:

1. Undergraduate Algebraic Geometry, by M. Reid, Cambridge University Press

2. Using Algebraic Geometry, by D. Cox, J. Little, D. O'Shea, 2nd Ed., Graduate Texts in Mathematics, Vol. 185, Springer-Verlag

3. Geometry, by E. Rees, Notes on Geometry, Universitext, Springer-Verlag

4. Algebraic Geometry, by R. Hartshorne, Graduate Texts in Mathematics, Vol. 52, Springer-Verlag

5. Algebraic Geometry: a First Course, by J. Harris, Graduate Texts in Mathematics, Vol. 133, Springer-Verlag

6. The Geometry of Schemes, by D. Eisenbud and J. Harris, Graduate Texts in Mathematics, Vol. 197, Springer-Verlag

7. Principles of Algebraic Geometry, by P. Griffiths and J. Harris, Wiley and Sons

8. Introduction to Commutative Algebra and Algebraic Geometry, by E. Kunz, Birkhӓuser

9. Elementary Algebraic Geometry, by K. Hulek, Student Mathematical Library, Vol. 20, AMS Publications

10. Algebraic Geometry, (3 books) by K. Ueno, Translations of Mathematical Monographs, AMS Publications

11. Algebraic Curves and One-Dimensional Fields, by F. Bogomolov and T. Petrov, AMS Publications

12. Elementary Algebraic Geometry, K. Kendig, Graduate Texts in Mathematics, Vol. 44, Springer-Verlag.

I have not seen all these books; many were recommended to me by others.

(copied from Don Bovee at math.washington.edu)