TIFR 2014 Problem 30 Solution is a part of TIFR entrance preparation series. The Tata Institute of Fundamental Research is India's premier institution for advanced research in Mathematics. The Institute runs a graduate programme leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degree in certain subjects.
The image is a front cover of a book named Topics in Algebra by I.N.Herstein. This book is very useful for the preparation of TIFR Entrance.
Also Visit: College Mathematics Program
How many maps are there satisfying
, for all
?
Take .
By the given equation .
This means .
Oh! This means .
was taken arbitrarily. So...
for all
.
There is only one such map.
TIFR 2014 Problem 30 Solution is a part of TIFR entrance preparation series. The Tata Institute of Fundamental Research is India's premier institution for advanced research in Mathematics. The Institute runs a graduate programme leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degree in certain subjects.
The image is a front cover of a book named Topics in Algebra by I.N.Herstein. This book is very useful for the preparation of TIFR Entrance.
Also Visit: College Mathematics Program
How many maps are there satisfying
, for all
?
Take .
By the given equation .
This means .
Oh! This means .
was taken arbitrarily. So...
for all
.
There is only one such map.