Description
UNIVERSITIES PRESS Fermats Last Theorem: Basic Tools Vol 243 by TAKESHI SAITO
this book together with the companion volume fermatslast theorem: the proof presents in full detail the proof of Fermats last theorem given by wiles and Taylor. With these two books The reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of Mathematics. Crucial arguments including the so-called 3“5 trick R = T theorem etc. are explained in depth. The proof relies on basic background materials in number theory and Arithmetic Geometry such as Elliptic curves modular forms Galois representations Deformation rings modular curves over the integer rings Galois cohomology etc. The first four topics are crucial for the proof of Fermats last theorem; they are also very important as tools in studying various other problems in modern algebraic number theory. The remaining topics will be treated in the second book to be published in the same series in 2014. In order to facilitate understanding the intricate proof an outline of the whole argument is described in the first Preliminary br>Chapter and more details are summarised in later chapters