Expository articles


 

Search for an article

Part of title, description, or keywords. Minimum 4 characters required.

 Reset search and show all articles

 
Found total 226 results. Displaying results from 41 to 60.

 
SL
Article Name
Broad subject area
Abstract & Keywords
Targetted Audience
Number of downloads
41
Curve Tracing (Plotting the Graph of a Function)

Keywords :

Plotting of graphs of functions.
MTTS Level :
Download now
(Downloaded 1719 times last on 19 June 2026, 07:45 am
42
Binary, Tertiary and Decimal Expansions

Gives complete (geometric as well analytic) details of the decimal expansion, followed by binary and ternary expansions and the Cantor's function.

Keywords :

2nd /3rd year B.Sc, M.Sc
MTTS Level :
Download now
(Downloaded 2952 times last on 20 June 2026, 02:20 am
43
Outline of the Differential Geometry Course (2006-2007)

This is a day-to-day account of the lectures on Differential Geometry as it unfolded. You may see a lot of remarks addressed to the students of this course. Has a lot of insights. Could be difficult but worth a try.

Keywords :

M.Sc.
MTTS Level :
Download now
(Downloaded 1705 times last on 19 June 2026, 05:58 pm
44

A sample diagnostic test to assess the background of the students admitted to courses, MTTS camps.

Keywords :

B.Sc./M.Sc
MTTS Level :
Download now
(Downloaded 906 times last on 17 June 2026, 05:58 pm
45
Dihedral Groups

A geometric as well as algebraic description of one of the most important classes of groups.

Keywords :

1
MTTS Level :
Download now
(Downloaded 1905 times last on 19 June 2026, 10:09 pm
46
Harmonic Functions: Dirichlet Problem, Perron's method
Complex Analysis, PDE

Starting with the definition of harmonic functions and their properties, it gives a solution of Dirichlet problem using Perron;s method of subharmonic functions. It ends up with a discussion of the boundary behaviour. A must read for those who like hard-analysis.

Keywords : Harmonic functions, Dirichlet problem, Perron's method

M.Sc./Ph.D
MTTS Level : 2
Download now
(Downloaded 3065 times last on 19 June 2026, 03:12 pm
47
Discrete subgroups of R n

Discrete subgroups of $R^n$ are classified.

Keywords :

M.Sc.
MTTS Level :
Download now
(Downloaded 1797 times last on 18 June 2026, 11:56 am
48
Frobenius Theorem on Real Division Algebras

Frobenius theorem on the classification real associative division algebras are $R$, $C$ and the quaternions. Accessible to students who have learnt linear algebra.

Keywords :

Final year B.Sc, M.Sc
MTTS Level :
Download now
(Downloaded 806 times last on 18 June 2026, 12:43 am
49
Double Cosets and Sylow’s First Theorem
Algebra

It gives a proof of Sylow's first theorem using double cosets and the Sylow $p$subgroup in $GL(n, Z_p)$. This proof is credited to J.Pserre.

Keywords :

B.Sc./M.Sc
MTTS Level : 2
Download now
(Downloaded 1578 times last on 19 June 2026, 06:37 am
50

About double series and their convergence issues.

Keywords :

B.Sc
MTTS Level :
Download now
(Downloaded 1584 times last on 19 June 2026, 12:51 pm
51

Syllabus for a course in dynamical systems (MTTS)

Keywords :

M.Sc.
MTTS Level :
Download now
(Downloaded 916 times last on 14 June 2026, 08:47 am
52
An Elemenatry Proof of Weierstrass Approximation Theorem

Elementary proof of the classical Weierstrass approximation theorem. It illustrates the principle of starting with simpler problems and moving upwards to attack the general case.

Keywords :

B.Sc
MTTS Level :
Download now
(Downloaded 1011 times last on 12 June 2026, 10:13 pm
53

Gives an accessible proof of the regularity of solutions of elliptic equations. Needs careful proof-reading

Keywords :

annoyingly trivail math erros!
MTTS Level :
Download now
(Downloaded 1160 times last on 19 June 2026, 11:00 am
54
Two Interesting Examples in Topology

Two interesting examples of topological spaces. The first one was constructed to answer a question raised by a teacher of Topology in MTSS 2012. Both centre around sequences, their limits and cluster points.

Keywords :

M.Sc.
MTTS Level :
Download now
(Downloaded 1767 times last on 18 June 2026, 08:50 am
55

Even many good students get intrigued and are vague about the notions of a Riemann surface and feel intimidated with the multiple valued functions. This artcile will put them on a strong rigorous foundation to dispel the myth.

Keywords :

M.Sc.
MTTS Level :
Download now
(Downloaded 1149 times last on 17 June 2026, 05:51 pm
56
Exercises on Inverse images

Has a good set of exercises which are meaningful in mathematics to make the studenst deal with the concept confidently. This is a problem area all over.

Keywords :

O
MTTS Level :
Download now
(Downloaded 1864 times last on 18 June 2026, 08:43 am
57
Structure of Finitely Generated Abelian Groups

Structure theorem for FG abelian groups. Follows closely the argument in Cohn's Basic Algebra. It also deals with the uniqueness part in the case of finite abelian groups.

Keywords :

B.Sc./M.Sc
MTTS Level :
Download now
(Downloaded 2438 times last on 19 June 2026, 12:09 pm
58
Basis Theorem for Finitely Generated Abelian Groups

Gives various elementary proofs of the structure theorem for finitely generated abelian groups. It caters to many tastes!

Keywords :

B.Sc./M.Sc
MTTS Level :
Download now
(Downloaded 2156 times last on 19 June 2026, 09:47 pm
59
Outline of a Course in Field Theory

An outline of the theory leading up to Galois correspondence with exercise and examples. No details.

Keywords :

M.Sc.
MTTS Level :
Download now
(Downloaded 1220 times last on 17 June 2026, 09:06 pm
60
Outline of a Course in Field Theory

A more thorough treatment of Galois theory with good set of exercises. Plan to write it up as a small book.

Keywords :

M.Sc.
MTTS Level :
Download now
(Downloaded 2840 times last on 17 June 2026, 10:23 am