### Required Text

Bertsekas, Dimitri P. *Nonlinear Programming*. 2nd ed. Athena Scientific Press, 1999. ISBN: 1886529000.

### Recommended Alternate Text

Bazaraa, Mokhtar S., Hanif D. Sherali, and C. M. Shetty. *Nonlinear Programming: Theory and Algorithms*. New York: John Wiley & Sons, 1993. ISBN: 0471557935.

### Background Reading in Linear Programming and Real Analysis

*Linear Programming*

For those students who have not had any exposure to linear programming, it is recommended that you read the following sections from one of the following two texts:

Luenberger, David G. *Linear and Nonlinear Programming*. 2nd ed. Reading, MA: Addison Wesley, 1984. ISBN: 0201157942.

- Chapter 2: Sections 2.1-2.5
- Chapter 3: Sections 3.1-3.5, 3.7
- Chapter 4: Sections 4.1-4.4

Or: Bertsimas, Dimitris, and John Tsitsiklis. *Introduction to Linear Optimization*. Athena Scientific Press, 1997. ISBN: 1886529191.

- Chapter 1: Sections 1.1, 1.2, 1.4
- Chapter 2: Sections 2.1, 2.2
- Chapter 3: Sections 3.1, 3.2, 3.5
- Chapter 4: Sections 4.1, 4.2, 4.3

### Analysis

For those students who have not had any exposure to real analysis, you should read the following sections of the text:

Rudin, Walter. *Principles of Mathematical Analysis*. 3rd ed. McGraw-Hill, 1976. ISBN: 007054235X.

- Chapter 2: pp. 24-43 (the whole chapter)
- Chapter 3: pp. 47-61
- Chapter 4: pp. 83-95