Gesammelte Abhandlungen - Collected Papers (English, German, Paperback, Reprint 2015 of the 1982 edition)

During his short life Oswald Teichmuller wrote 34 papers, all reproduced in this volume. From the Preface: "Teichmuller's most influential paper was called "Extremale quasikonforme Abbildungen und quadratische Differentiale" (No. 20 in this collection). At the time of its appearance several special cases of extremal problems for quasiconformal mappings had already been solved, and Teichmuller was able to draw on a substantial fund of experience. Nevertheless, it was a remarkable feat to extract the common features of all the known examples and formulate a conjecture, now known as Teichmuller's theorem, which in an unexpected way connects the holomorphic second order differentials on a Riemann surface with the extremal quasiconformal mappings of that surface. The paper of 1939 contains a uniqueness proof, which is essentially still the only known proof, but not yet a rigorous existence proof. This did not prevent Teichmuller from laying the foundation of what has become known as the theory of Teichmuller spaces, a theory that has mushroomed to an extent that could not then have been foreseen. At the same time Teichmuller's work led to a deeper understanding of the fundamental role played by quasiconformal mappings in all of geometric function theory, and it foreshadowed the subsequent development of the theory of quasiconformal mappings in several dimensions...the whole theory of analytic functions of one complex variable has been greatly enriched by the inclusion of quasiconformal mappings, much of it based on Teichmuller's seminal ideas."

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Collected Works in Mathematics
Release date:	June 2015
First published:	1982
Authors:	Oswald Teichmuller
Editors:	L V Ahlfors • F.W. Gehring
Dimensions:	235 x 155 x 39mm (L x W x T)
Format:	Paperback
Pages:	761
Edition:	Reprint 2015 of the 1982 edition
ISBN-13:	978-3-662-47009-1
Languages:	English • German
Categories:	Books > Science & Mathematics > Mathematics > History of mathematics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-662-47009-8
Barcode:	9783662470091

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!