BIQUADRATIC DIOPHANTINE EQUATIONS WITH INTEGER SOLUTIONS: BIQUADRATIC DIOPHANTINE EQUATIONS
Tungkol sa ebook na ito
involves solving polynomial equations in integers. It is well known that
a Diophantine equation is an equation with integer coefficient and
multiple variables ( 2) having integer solutions. There is no universal
method available to know whether a Diophantine equation has a
solutions or finding all solutions, if it exists. Proving that even simple
Diophantine equations have no solutions may require very
sophisticated methods and in such cases, a lot of deep and beautiful
mathematics get generated as a result. It is worth to observe that
Diophatine equations are rich in variety. A collection of special
Problems on biquadratic equations in 3,4,5 & 6 variables has been
treated in sections A to D respectively. Different sets of integer solutions
to each of the biquadratic diophatine equations are illustrated.
Tungkol sa may-akda
Dr.M.A.Gopalan is currently Professor of Mathematics
at Shrimati Indira Gandhi College, Trichy. He has
taught mathematics for nearly two decades. He is
interested in problem solving in the area of Diophantine
equations and Number Patterns. He serves in the
editorial boards of IJPMS and IJAR. He is a life member
of Kerala Mathematics Association.
