Teaching Materials, etc.
This page is under construction. I plan to add many more items and files which can be downloaded.
- 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] [ps]
5.
On a Method in Algebra and Geometry, 1--7, (1991; Last
revision: 2003)
[pdf] [ps]
6. On Earth, Moon and Maple, 1--6, (1996)
7. On Systems of Linear Diophantine Equations, 1--6, (1996) [pdf] [ps]
8.
(joint work with R. Hochberg),
Invariants I (Discrete Mathematics), 1--6, (1998; Last revision: 2004) [pdf] [ps]
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] [ps]
14.
(joint work with the class),
Problems and Solutions for Graduate Combinatorics I (Math 688),
1--44, (2000--2006). [pdf] [ps]
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] [ps]
1-10, (2003; Last revision: Jan 7, 2004)
17.
Jensen's Inequality, [pdf] [ps]
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] [ps]
1-2, (2001. Last revision: Dec, 2004.)
19.
``Es steht schon bei Dedekind", [pdf]
[ps]
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,
[pdf]
1-11, (Last revision: January,
2013.)
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),
On the Nondegeneracy of Quadratic Forms, 1--10, (Last revision: September 2012.)
[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, (Last revision: December 2011.) [pdf]
31. Calculus III: Fall 2011 course.
32. Simplicity of A_n (Last revision: September 2012.) [pdf]
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