|
Showing 1 - 10 of
10 matches in All Departments
 From the Preface: “There are three volumes. The first one
contains a curriculum vitae, a «Brève Analyse des Travaux» and a
Iist of publications, including books and seminars. In addition the
volume contains all papers of H. Cartan on analytic functions
published before 1939. The other papers on analytic functions, e.g.
those on Stein manifolds and coherent sheaves, make up the second
volume. The third volume contains, with a few exceptions, all
further papers of H. Cartan; among them is a reproduction of
exposés 2 to 11 of his 1954/55 Seminar on Eilenberg-MacLane
algebras. Each volume is arranged in chronological order. The
reader should be aware that these volumes do not fully reflect H.
Cartan's work, a large part of which is also contained in his
fifteen ENS-Seminars (1948-1964) and in his book "Homological
Algebra" with S. Eilenberg... Still, we trust that mathematicians
throughout the world will welcome the availability of the "Oeuvres"
of a mathematician whose writing and teaching has had such an
influence on our generation.”
From the Preface: "There are three volumes. The first one contains
a curriculum vitae, a "Breve Analyse des Travaux" and a Iist of
publications, including books and seminars. In addition the volume
contains all papers of H. Cartan on analytic functions published
before 1939. The other papers on analytic functions, e.g. those on
Stein manifolds and coherent sheaves, make up the second volume.
The third volume contains, with a few exceptions, all further
papers of H. Cartan; among them is a reproduction of exposes 2 to
11 of his 1954/55 Seminar on Eilenberg-MacLane algebras. Each
volume is arranged in chronological order. The reader should be
aware that these volumes do not fully reflect H. Cartan's work, a
large part of which is also contained in his fifteen ENS-Seminars
(1948-1964) and in his book "Homological Algebra" with S.
Eilenberg...Still, we trust that mathematicians throughout the
world will welcome the availability of the "Oeuvres" of a
mathematician whose writing and teaching has had such an influence
on our generation."
From the Preface: "There are three volumes. The first one contains
a curriculum vitae, a "Breve Analyse des Travaux" and a Iist of
publications, including books and seminars. In addition the volume
contains all papers of H. Cartan on analytic functions published
before 1939. The other papers on analytic functions, e.g. those on
Stein manifolds and coherent sheaves, make up the second volume.
The third volume contains, with a few exceptions, all further
papers of H. Cartan; among them is a reproduction of exposes 2 to
11 of his 1954/55 Seminar on Eilenberg-MacLane algebras. Each
volume is arranged in chronological order. The reader should be
aware that these volumes do not fully reflect H. Cartan's work, a
large part of which is also contained in his fifteen ENS-Seminars
(1948-1964) and in his book "Homological Algebra" with S.
Eilenberg...Still, we trust that mathematicians throughout the
world will welcome the availability of the "Oeuvres" of a
mathematician whose writing and teaching has had such an influence
on our generation."
Mathematics has a certain mystique, for it is pure and ex- act, yet
demands remarkable creativity. This reputation is reinforced by its
characteristic abstraction and its own in- dividual language, which
often disguise its origins in and connections with the physical
world. Publishing mathematics, therefore, requires special effort
and talent. Heinz G-tze, who has dedicated his life to scientific
pu- blishing, took up this challenge with his typical enthusi- asm.
This Festschrift celebrates his invaluable contribu- tions to the
mathematical community, many of whose leading members he counts
among his personal friends. The articles, written by mathematicians
from around the world and coming from diverse fields, portray the
important role of mathematics in our culture. Here, the reflections
of important mathematicians, often focused on the history of
mathematics, are collected, in recognition of Heinz G-tze's
life-longsupport of mathematics.
When this book was written, methods of algebraic topology had
caused revolutions in the world of pure algebra. To clarify the
advances that had been made, Cartan and Eilenberg tried to unify
the fields and to construct the framework of a fully fledged
theory. The invasion of algebra had occurred on three fronts
through the construction of cohomology theories for groups, Lie
algebras, and associative algebras. This book presents a single
homology (and also cohomology) theory that embodies all three; a
large number of results is thus established in a general framework.
Subsequently, each of the three theories is singled out by a
suitable specialization, and its specific properties are
studied.
The starting point is the notion of a module over a ring. The
primary operations are the tensor product of two modules and the
groups of all homomorphisms of one module into another. From these,
"higher order" derived of operations are obtained, which enjoy all
the properties usually attributed to homology theories. This leads
in a natural way to the study of "functors" and of their "derived
functors."
This mathematical masterpiece will appeal to all mathematicians
working in algebraic topology.
fuhrenden Mathematiker des 19. Jahrhunderts und einem der
fiihrenden Geister der Friedrich-Wilhelms-Universit't zu Berlin in
ihrer Glanzzeit, der zweiten H?lfte des 19. Jahrhunderts.
WeierstraB war also ein Kollege von Paul Dubois Reymond, von
Helmholtz, von Mommsen und Virchow. Karl WeierstraB ist ein Kind
unseres Landes Nordrhein-Westfalen. Er wurde am 31. Oktober 1815 in
Ostenfelde, Kreis Warendorf, also im Miinsterland, geboren. Seinen
starken westf?lischen Akzent und seine politischen Auffassungen,
mit denen er sich in der damaligen Zeit in PreuBen zu einer
Minderheit rechnete, hat er niemals verleugnet. Er ist immer ein
Westfale geblieben. Die Familie seines Vaters stammt aus Mettmann,
also aus der unmittelbaren N?he dieser Stadt. So haben wir alle
Griinde, seiner hier zu gedenken. Die groBe Zeit von WeierstraB
liegt in den siebziger und achtziger Jahren des vorigen
Jahrhunderts. Er galt damals schlechtweg als die Autorit't fur
Strenge in den mathematischen SchluBweisen. Er war im Ausland, in
einer Zeit, in der internationale wissenschaftliche Beziehungen
sehr viel schwieriger waren als heute, ebenso angesehen wie in
Deutschland.
Addressed to 2nd- and 3rd-year students, this work by a
world-famous teacher skillfully spans the pure and applied
branches, so that applied aspects gain in rigor while pure
mathematics loses none of its dignity. Equally essential as a text,
a reference, or simply as a brilliant mathematical exercise. 1971
edition.
Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a systematic, though elementary, exposition of theory of abstract complex manifolds of one complex dimension. Topics include power series in one variable, holomorphic functions, Cauchy's integral, more. Exercises. 1973 edition.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|