# Department of Mathematics

# Recently used texts in graduate courses.

Note that these are just for a rough guide- each semester, the current instructor will choose a text, so for a specific semester it is best to check on the instructor's webpage, at the bookstore or to ask the anticipated instructor. Instructors may also supplement texts with other material.

- Complex Analysis A3200/B3200 Recent texts
- Bak & Newman "Complex Analysis" Springer
- Ahlfors, "Complex Analysis", McGraw-Hill

- Real Analysis A3400/B3400 Recent texts
- H.L. Royden "Real Analysis," Prentice Hall
- Rudin, Real and Complex Analysis 3rd Ed

- Set Theory A4300 recent texts
- Karel Hrbacek and Thomas Jech, Introduction to Set Theory, Third Edition, CRC Press, 1999.
- Suppes, Axiomatic Set Theory, Dover

- Logic A4400 Recent texts
- Enderton, "A Mathematical Introduction to Logic 2ed." ISBN: 0122384520, Academic Press
- Margaris, "First order mathematical logic", Dover

- Algebra A4900/B4900 Recent texts
- Beachy and Blair "Abstract Algebra", Waveland Press
- Artin "Algebra," Prentice Hall
- Dummit and Foote "Abstract Algebra," Wiley

- Partial differential equations A3500/B3500 Recent texts
- Bleeker and Csordas "Basic Partial Differential Equations," International Press
- W. Strauss "Partial Differential Equations," John Wiley
- John "Partial Differential Equations," Springer

- Differntial Geometry A6100 Recent texts
- Pressley, "Elementary Differential Geometry," Springer
- Gray, Abbena,Salamon "Modern Differential Geometry of Curves & Surfaces with Mathematica"

- Toplogy A6300/B6300 Recent texts
- Simmons "Introduction to Topology," Krieger

- Stochastic processes A7700/B7700 Recent texts
- S. Ross "Stochastic Processes," Wiley

- A7800 Recent texts
- Johnson & Wichern "Applied Multivariate Statistical Analysis," Prentice Hall

- A6800 Recent texts
- C.L. Liu Customized version of "Introduction to Combinatorial Mathematics" McGraw-Hill
- Rosen, Discrete Mathematics, 7th Ed

### Texts for Fall 2012 courses:

- A3200 Complex Variables I: Ahlfors, "Complex Analysis", McGraw-Hill
- A3500 Partial Differential Equations I: Bleeker and Csordas "Basic Partial Differential Equations," International Press
- A4900 Algebra I: Dummit and Foote "Abstract Algebra," Wiley
- A7700 Stochastic Processes: Ross, "Stochastic Processes," Wiley
- A6100 Differential Geometry: Pressley, "Elementary Differential Geometry," Springer

### Texts for Spring 2012 courses:

- A4300, Set Theory: Suppes, Axiomatic Set Theory, Dover
- B3400, Real Analysis I: Rudin, Real and Complex Analysis 3rd Ed
- B4900, Modern Algebra I: Beachy and Blair, Abstract Algebra
- B6300, Topology II: Greenberg and Harper, Algebraic Topology: A First Course, Westview Press
- B7600: Advanced Statistics: Casella and Burger, Statistical Inference, Duxbury Press
- B1100: Topics (Advanced Linear Algebra): Dym, Linear Algebra in Action, American Mathematical Society
- B1200: Topics (Dynamics): TBA

## Texts for Fall 2011 courses:

- A3400, Real Analysis I: Rudin, Real and Complex Analysis 3rd Ed
- A4900, Modern Algebra I: Beachy and Blair, Abstract Algebra
- A6300, Topology I: no text, instructor's notes
- A7800: Advanced Statistics: Johnson and Wichern, Applied Multivariate Statistical Analysis
- B6800: Combinatorial Analysis: Rosen, Discrete Mathematics, 7th Ed

## Texts for Spring 2011 courses:

- Logic A4400, S11 Prof. Kopperman:
- Margaris, "First order mathematical logic", Dover

- Differential Geometry, A6100, S11 Prof. Cleary:
- Pressley, "Elementary Differential Geometry" Springer, 2nd edition

- Complex Analysis B3200, S11 Prof. Bak:
- Bak & Newman "Complex Analysis" Springer: THIRD EDITION. This edition is just coming out; Prof. Bak will describe how to get it on the first day of class.

- Algebra B4900, S11, Prof. Applegate:
- Beachy and Blair "Abstract Algebra", Waveland Press l

- Partial differential equations B3500 S11, Prof. Santoro:
- Bleeker and Csordas "Basic Partial Differential Equations," International Press

- Stochastic processes B7700 S11, Prof. Marcus:
- S. Ross "Stochastic Processes," Wiley

## Texts for Fall 2010 courses:

- Complex Analysis A3200, F10 Prof. Bak:
- Bak & Newman "Complex Analysis" Springer: THIRD EDITION. This edition is just coming out; Prof. Bak will describe how to get it on the first day of class.

- Algebra A4900, F10, Prof. Applegate:
- Beachy and Blair "Abstract Algebra", Waveland Press l

- Partial differential equations A3500 F10, Prof. Santoro:
- Bleeker and Csordas "Basic Partial Differential Equations," International Press

- Stochastic processes A7700 F10, Prof. Marcus:
- S. Ross "Stochastic Processes," Wiley