Read Online or Download Topics in Number Theory, Volumes I and II (Dover Books on Mathematics) PDF
Similar Number Theory books
. . . if one desires to make development in arithmetic one should still learn the masters now not the scholars. N. H. Abel Heeke used to be one in every of the masters, and in reality, the learn of Heeke L sequence and Heeke operators has completely embedded his identify within the cloth of quantity idea. it's a infrequent prevalence whilst a grasp writes a easy ebook, and Heeke's Lectures at the concept of Algebraic Numbers has turn into a vintage.
Kummer's paintings on cyclotomic fields prepared the ground for the improvement of algebraic quantity idea more often than not by means of Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. notwithstanding, the good fortune of this common concept has tended to imprecise detailed evidence proved via Kummer approximately cyclotomic fields which lie deeper than the final concept.
This well-developed, obtainable textual content info the old improvement of the topic all through. It additionally offers wide-ranging insurance of important effects with relatively user-friendly proofs, a few of them new. This moment version comprises new chapters that supply a whole facts of the Mordel-Weil theorem for elliptic curves over the rational numbers and an summary of contemporary development at the mathematics of elliptic curves.
Mathematicians and non-mathematicians alike have lengthy been fascinated with geometrical difficulties, quite those who are intuitive within the feel of being effortless to kingdom, probably using an easy diagram. every one part within the publication describes an issue or a gaggle of comparable difficulties. often the issues are able to generalization of edition in lots of instructions.
Extra resources for Topics in Number Theory, Volumes I and II (Dover Books on Mathematics)