Read or Download Equivariant Pontrjagin Classes and Applications to Orbit Spaces: Applications of the G-signature Theorem to Transformation Groups, Symmetric Products and Number Theory (Lecture Notes in Mathematics) PDF
Best Number Theory books
. . . if one desires to make growth in arithmetic one may still learn the masters now not the students. N. H. Abel Heeke was once one of the masters, and actually, the research of Heeke L sequence and Heeke operators has completely embedded his identify within the cloth of quantity concept. it's a infrequent incidence whilst a grasp writes a uncomplicated e-book, and Heeke's Lectures at the conception of Algebraic Numbers has turn into a vintage.
Kummer's paintings on cyclotomic fields cleared the path for the advance of algebraic quantity idea as a rule by way of Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. notwithstanding, the good fortune of this common conception has tended to imprecise specific evidence proved by means of Kummer approximately cyclotomic fields which lie deeper than the overall idea.
This well-developed, available textual content information the old improvement of the topic all through. It additionally offers wide-ranging assurance of vital effects with relatively undemanding proofs, a few of them new. This moment variation comprises new chapters that offer an entire facts of the Mordel-Weil theorem for elliptic curves over the rational numbers and an outline of contemporary growth at the mathematics of elliptic curves.
Mathematicians and non-mathematicians alike have lengthy been occupied with geometrical difficulties, quite those who are intuitive within the experience of being effortless to country, probably by way of an easy diagram. every one part within the booklet describes an issue or a gaggle of similar difficulties. frequently the issues are in a position to generalization of version in lots of instructions.
Extra info for Equivariant Pontrjagin Classes and Applications to Orbit Spaces: Applications of the G-signature Theorem to Transformation Groups, Symmetric Products and Number Theory (Lecture Notes in Mathematics)