20 short trick of ring theory| total number of associative elements of gaussian ring Z(i)

19 short trick of ring theory | associative elements of 3 of a ring Z5 | associative elements

18 short trick of ring theory | total number of associative elements of 2 of a ring Z4

17 short tricks of ring theory | total number of nilpotent elements of a ring Zn

16 ring theory | nilpotent element of a ring Zn | total number of nilpotent elements in Z4

15 ring theory | idempotent elements in Z6 | total number of idempotent elements in Z6

14 ring theory | which of the following can not be a characteristic field 7,8,9 and 0

13 ring theory | R be the ring with 15 elements then characteristic of R | characteristic element

12 ring theory | group of units of Z100 is isomorphic | total number of units of ring group Z100

11 ring theory | characteristic of Z5 x Z15 | how to fiind characteristic of ring Zn X Zm

10 ring theory | characteristic of ring Z5 | how to fiind characteristic of ring Zn

09 ring theory | total number of zero divisors in Z5 | how to find zero divisor in Zn

08 ring theory | total number of zero divisors in Z8 | how to find zero divisor in Zn

07 ring theory | number of zero divisors in Z4 | how to find zero divisors in Zn

06 ring theory | Unit element of Gaussian Ring Z[i] is | gaussian ring Z[i]

05 ring theory | unit elements of integer Z | what is unit elements of R ,Q and C

04 ring theory short trick | find unit element in Z6 |how to find unit elements of ring

03 ring theory short trick | find unit element in Z4 | how to find unit elements os ring

02 ring theory | short trick of field | how to check group is field ?

01 ring theory | short trick of ring theory | How to check any group G is ring and field ?

SRGI LUCKNOW | होली महोत्सव का आयोजन 2026 IN SR COLLEGE LUCKNOW | HAPPY HOLI

group theory For IIT JAM | CSIR NET & GATE MATHS | group theory notes and video lecture

25 argument principle| evaluate 1/2πi ∫f^' (z)/(f(z) dz where C is the circle |z|=π and f(z)=sinπz

24 argument Theorem | the value of the integral ∫|z|=3π)e^z/(e^z-1) dz

23 argument principle | let α,β,γ be the roots of f(z)=z^3-z-1, then ∫z^2 f^' (z)/(f(z) dz is

22 argument principle | let α,β,γ be the roots of f(z)=z^3-4z^2-z-1, then ∫z (f^' (z)/f(z) dz

21 argument Theorem | argument principle | find ∫f^' (z)/f(z)dz if f(z)=(z-1)^2/(z^3 (z-2)

20 short trick of singularity | singularity of function tanz at infinity

19 entire and zeros of function | let f(z) be an entire function such that lim |z|→∞ ⁡|f(z)|=∞

18 short trick of singularity | let f(z)=1/(e^z-1) for all z∈C such that then f(z) is | meromorphic

17 short trick of singularity | concept of singularity| at z=0 the function f(z)=(e^z+1)/(e^z-1) has

16 short trick of singularity | the function f(z)=(sin(πz/2) )/(sin πz) , then f has poles at

15 residue of function f(z)=1/z(z-1)^3 has pole of order p and residue r | residue of m order pole

14 residue of function f(z)=e^-e^1/z at z=0 | short trick of residue and singularity

13 residue of f(z)= sinz/z^4 at infinity | how to find residue at infinity

12 short tricks of residue | residue of function f(z)=z^3 cos (1/z) at ∞ | residue at infinity

11 short trick of residue at simple pole f(z)=g(z)/h(z) | residue of function f(z)=tanz at π/2 is

10 short trick of singularity | the singularity of f(z)=e^sinz at z=∞ | CSIR NET MATHS | GATE MATHS

9 for the function f(z)=e^(z^2/(1-cosz)) the point z=0 is | short trick of singularity

08 short tricks of singularity | for the function f(z)=sin (1/(cos (1/z) )) the point z=0 is

07 short tricks of singularity | if the function for z≠-i, f(z)=e^(1/(z+i))-1,then singularity is

06 short trick of singularity | if function f(z)=1/z sin 1/z and g(z)=sinz ∙f(z) then singularity

05 short of singularity | singularity of function f(z)=(z-2)/z^2 sin (1/(z-1) is | csir net | gate

04 short tricks of singularity | how to find order of pole f(z)=sinz/z^4 | CSIR NET | GATE MATHD

03 short tricks of singularity | singularity of function f(z)=(1-cosz)/z^2 |CSIR NET |GATE MATHS

02 short tricks of singularity | Singularity of function f(z)=tan(1/z) is | CSIR NET | GATE MATHS

01 complex analysis | short trick of singularity | Singularity of function f(z)=sin(1/z) is

39 short trick of real analysis | For n∈N , define xn & yn by xn=(-1)^n cos(1/n) & y(n )=∑1/(n+k)