Special higher degree diophantine problems with solutions

The book contains a reasonable number of higher degree Diophantine problems in many variables expressed as polynomial equations to be solved in integers. Different sets of integers solutions to each of the higher degree diophantine equations considered in this book are illustrated along with a few interesting properties among the solutions. It is hoped that these problems may create an interest in the hearts of researchers and lovers of mathematics who approach it with pure love for its own beauty. The authors hope that seeing the excitement of solving these higher degree diophantine equations, young mathematicians and researchers realize that there are lots and lots of other problems in number theory which are going to be challenging in the future. There is no doubt that, to have deep and thorough knowledge of the higher degree problems presented here, one must do a lot more than reading these problems. Concentration is the magic key that opens the door to accomplishment "To succeed, we must first believe that we can, the more you can dream the move you can do" as remarked by Michael Korda.

Autorentext

M.A. Gopalan est actuellement professeur de mathématiques au Shrimathi Indira Gandhi College, Thriuchirappalli, et enseigne les mathématiques depuis près de vingt ans. Il s'intéresse à la résolution de problèmes dans le domaine des équations diophantiennes et des modèles de nombres. Il fait partie des comités de rédaction de l'IJPMS et de l'IJAR et est membre à vie de l'Association de mathématiques du Kerala.