Author: Jean-Pierre Serre, Catriona Maclean Pierre Colmez
Publisher: American Mathematical Society
Keywords: correspondence, serre, grothendieck
Number of Pages: 600
Published: 2003-12-16
List price: $72.00
ISBN-10: 082183424X
ISBN-13: 9780821834244

This extraordinary volume contains a large part of the mathematical correspondence between A. Grothendieck and J-P. Serre. It forms a vivid introduction to the development of algebraic geometry during the years 1955-1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. In the book, the reader can follow the creation of some of the most important notions of modern mathematics. The letters also reflect the mathematical and political atmosphere of this period. They are supplemented by J-P. S

Author: Jean-Pierre Serre
Publisher: Springer
Keywords: lie, lecture, notes, mathematics, university, given, algebras, groups, lectures, harvard
Number of Pages: 168
Published: 1992-03-11
List price: $44.95
ISBN-10: 3540550089
ISBN-13: 9783540550082

This book reproduces J-P. Serre’s 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large.

Author: Jean-Pierre Serre
Publisher: Springer
Keywords: cohomology, galois
Number of Pages: 220
Published: 2001-11-28
List price: $69.95
ISBN-10: 3540421920
ISBN-13: 9783540421924

This is an updated English translation of Cohomologie Galoisienne, published more than 30 years ago as one of the very first Lecture Notes in Mathematics. It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.

Author: Jean-Pierre Serre
Publisher: Springer
Keywords: texts, mathematics, graduate, groups, representations, finite, linear
Number of Pages: 188
Published: 1977-09-01
List price: $74.95
ISBN-10: 0387901906
ISBN-13: 9780387901909

This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples in this part are chosen from those useful to chemists. The second part is a course given in 1966 to second-year students of l’Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory. Seve

Author: Jean-Pierre Serre
Publisher: A K Peters/CRC Press
Keywords: mathematics, series, notes, research, galois, theory, topics
Number of Pages: 144
Published: 1992-11-02
List price: $34.00
ISBN-10: 0867202106
ISBN-13: 9780867202106

Written by one of the major contributors to the field, this book is packed with examples, exercises, and open problems for further edification on this intriguing topic.

Authors:Jean-Pierre Serre,  J. Stilwell,
Publisher: Springer
Keywords: mathematics, monographs, springer, trees
Number of Pages: 142
Published: 2003-01-17
List price: $69.95
ISBN-10: 3540442375
ISBN-13: 9783540442370

From the reviews: "Serre’s notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an important subject. In Chapter I, which is self-contained, the pace is fairly gentle. The author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the (rather difficult) proof of the general ca

Authors:Jean-Pierre Serre,  Marvin J. Greenberg,
Publisher: Springer
Keywords: mathematics, texts, graduate, fields, local
Number of Pages: 260
Published: 1980-01-19
List price: $74.95
ISBN-10: 0387904247
ISBN-13: 9780387904245

This is a translation of Corps Locaux, supplemented with an updated bibliography and some new exercises. This book is accessible to graduate students, and can be used as a reference source by research mathematicians in algebra and number theory.