Teaching Materials, etc.

This page is under construction. I plan to add many more items and files which can be downloaded.

  1. Ideas of Mathematics and Computer (Lecture notes, Labs, Tests), 1--46, (1985)

2.      (joint work with P.L. Ahlborn),
Topics in Geometry: Inversion, 1--44, (1993)

3.      (joint work with R. Baker and J. Hemmeter),
Problems in Linear Algebra, 1--24, (1992-1995)

4.      Elements of Number Theory: Lecture Notes, 1--36, (1996; Last revision: April 2007)
[pdf]

5.      On a Method in Algebra and Geometry, 1--7, (1991; Last revision: 2003)
[pdf]

6.      On Earth, Moon and Maple, 1--6, (1996)

7.      On Systems of Linear Diophantine Equations, 1--6, (1996) [pdf]

8.      (joint work with R. Hochberg),
Invariants I (Discrete Mathematics), 1--6, (1998; Last revision: 2004) [pdf]

9.      (joint work with R. Hochberg),
Invariants II (Geometry), 1--13, (1998). See also Chapter 12 in here.

10.  (joint work with R. Hochberg),
Monovariants, 1--7, (1998; Last revision: February 2011.) [pdf]

11.  Notes and Problem Sets for the Introductory Discrete Mathematics (Math 210),
1--46, (2000)

12.  On Earth, Moon and Maple, 1--6, (1996)

13.  On Quadratic Polynomials, 1--9, (1996; Last revision: 9/2008) [pdf]

14.  (joint work with the class),
Problems and Solutions for Graduate Combinatorics I (Math 688),
1--44, (2000--2006). [pdf]

15.  (joint work with the class),
Problems and Solutions for Graduate Combinatorics II (Math 689),
1--87, (2000). [pdf] (Last revision: Dec 9, 2009.)

16.  Short Proofs of Two Basic Properties of Central Projections. [pdf]
1-10, (2003; Last revision: Jan 7, 2004)

17.  Jensen's Inequality, [pdf]
1-2, (2000. Last revision: Dec, 2004.)
A better presentation and more examples can be found in Notes on Inequalities, item 24 on this page [pdf]

18.  On a Regular Simplex in R^n, [pdf]
1-2, (2001. Last revision: Dec, 2004.)

19.  ``Es steht schon bei Dedekind", [pdf]
1-8, (2005. Last revision: Oct, 2006.)

20.  (with O. Byer and D. Smeltzer) Methods for Euclidean Geometry, MAA. 451p. 2010.
For selected parts click here.

21.  Linear Algebra II (tentative title), 1-120, (work in progress.)

22.   Surprises (2014):    [pdf]
A longer original version (2013) is here: [pdf]  

23.   Arithmetic and Geometric Sequences,    [pdf]
1-10,  (Last revision: August, 2012.)

24.   Notes on Inequalities,    [pdf]
1-28,  (Last revision: December, 2012.)

25.   On Green-Tao Theorem,    [pdf]
1-3,  (Last revision: January, 2010.)

26.    Notes on Rational and Real Numbers,    [pdf]
1-38,  (Last revision: June, 2010.)

27.    Groups of order p^3,    [pdf]
1-3,  (Last revision: January, 2011.)

28.  (joint work with B. Kronenthal),
When can you factor a quadratic form? (2014) [pdf]

29.  Lectures on Linear Algebra, A Second Course, 1--101, (Based on Fall 2005 M672 Course. Last revision: December 2011.) [pdf]

30.  Lectures on Group Theory (with some problems), 1--84, (Revision in process: December 2015.) [pdf]

31.  Calculus III: Fall 2011 course.

32.  Simplicity of A_n (Last revision: October 2016.) [pdf]

33.      Short Proofs of Two Basic Properties of Central Projections. (Last revision: 2004) [pdf]
For an extended version of this manuscript (Last revision: 2004) click here: [pdf]

 


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