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. "
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 g...
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."
Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or co...
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...
When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had bee...
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...
From the Preface: There are three volumes. The first one contains a curriculum vitae, a -Breve Analyse des Travaux- and a Iist of publications, includ...
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...
From the Preface: "There are three volumes. The first one contains a curriculum vitae, a Breve Analyse des Travaux and a Iist of publications, includi...
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...
From the Preface: "There are three volumes. The first one contains a curriculum vitae, a Breve Analyse des Travaux and a Iist of publications, includi...
