3 Ergebnisse.

Fermat's Last Theorem (FLT) has its genesis in the Historic Marginal Note (HMN-1637) written by 17th-century French jurist and mathematician Pierre de Fermat, against the backdrop of Pythagoras Theorem (PT) in its arithmetical form. Both these theorems can be jointly stated, as follows. While square numbers can be expressed as a sum of two squares, numbers with higher powers than two can not be expressed as a sum of two like powers. At the end...

Since ancient times connoisseurs of number theory are fascinated by the prime-composite classification of natural numbers, but the law governing their distribution could not be discovered. This problem was also highlighted by CF Gauss by stating: the dignity of the science itself seems to require that every possible means be explored for the solution of the problem so elegant and so celebrated. This monograph provides the solution to this prob...

Number Theory has been presented in a newer perspective by introducing realistic concepts developed by genetic approach, it calls for approaching a problem by going into its genesis. This way the solution starts unfolding itself in a simpler and natural way. An alternative classification of sets giving due recognition to different kinds of numbers viz. positive and negative integers, zero, fractions, irrational numbers has been suggested to av...