## Potentially useful references for Math 676

Please note that these lists are (at least mostly) alphabetized. Please contact me if you would like to know where to look for particular topics or if you want my personal preferences for a given topic.
### Introductory material (ideals of polynomial rings, algebraic sets, basic commutative algebra and various algebra-geometry connections)

*Introduction to Commutative Algebra* by Atiyah and MacDonald.
*Ideals, Varieties, and Algorithms* by Cox, Little, and O'Shea.
*Using Algebraic Variety* by Cox, Little, and O'Shea.
*Varieties, Groebner Bases, and Algebraic Curves* by Decker and Schreyer.
*Commutative Algebra with a View Toward Algebraic Geoemtry* by Eisenbud.
*Commutative Algebra* by Matsamura.
*Computational Algebraic Geometry* by Hal Schenck.

### Univariate considerations

*Ideals, Varieties, and Algorithms* by Cox, Little, and O'Shea.
*Solving Polynomial Systems* by Bernd Sturmfels.

### Theoretical development of Groebner Bases

### Computation of Groebner Bases

### Applications

### Basic notions of numerical computation

### Basic numerical algebraic geometry

### Advanced topics in numerical algebraic geometry

### Further topics

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