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.

Elementary Theory of Analytic Functions of One or Several Complex Variables

Science & Math

Henri Cartan

Mathematics

Addison-Wesley

Homological Algebra

Samuel Eilenberg

Franklin Classics Trade Press

Classical text on differential calico;us in Banach spaces.

Differential Calculus

Houghton, Mifflin Co.

"Cartan's work provides a superb text for an undergraduate course in advanced calculus, but at the same time it furnishes the reader with an excellent foundation for global and nonlinear algebra." — Mathematical Review "Brilliantly successful." — Bulletin de l'Association des Professeurs de Mathematiques "The presentation is precise and detailed, the style lucid and almost conversational . . . clearly an outstanding text and work of reference." — Annales Cartan's Formes Differentielles was first published in France in 1967. It was based on the world-famous teacher's experience at the Faculty of Sciences in Paris, where his reputation as an outstanding exponent of the Bourbaki school of mathematics was first established. Addressed to second- and third-year students of mathematics, the material skillfully spans the pure and applied branches in the familiar French manner, so that the applied aspects gain in rigor while the pure mathematics loses none of its dignity. This book is equally essential as a course text, as a work of reference, or simply as a brilliant mathematical exercise.

Differential Forms (Dover Books on Mathematics)

Dover Publications

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.

Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on 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.

Homological Algebra (PMS-19)

Princeton University Press

History

Nabu Press

See the best price to sell, buy, or rent books by Henri Cartan. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Henri Cartan

See the best price to sell, buy, or rent books by Henri Cartan. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Elementary Theory of Analytic Functions of One or Several Complex Variables

Homological Algebra

Differential Calculus

Differential Forms (Dover Books on Mathematics)

Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on Mathematics)

Homological Algebra (PMS-19)

Homological Algebra