Lars Ahlfors often spoke of his excitement as a young student listening to Rolf
Nevanlinna's lectures on the new theory of meromorphic functions. It was, as he
writes in his collected papers, his "first exposure to live mathematics." In his
enormously influential research papers and in his equally influential books, Ahlfors
shared with the reader, both professional and student, that excitement.
The present volume derives from lectures given at Harvard over many years,
and the topics would now be considered quite classical.
This is the first book containing examples from the Theory of Complex Functions. All the following
books will have this book as their background.
Even if I have tried to be careful about this text, it is impossible to avoid errors, in particular in the
first edition. It is my hope that the reader will show some understanding of my situation.
International Workshop on QUASICONFORMAL MAPPINGS AND THEIR APPLICATIONS
December 27, 2005 - January 01, 2006
..Indian Institute of Technology Madras Department of Mathematics
Proceedings of the International Workshop on Quasiconformal Mappings And Their Applications (IWQCMA05) December 27, 2005 - January 01, 2006
Edited by S. Ponnusamy T. Sugawa M. Vuorinen
The discovery of infinite products byWallis and infinite series by Newton marked the
beginning of the modern mathematical era. The use of series allowed Newton to find
the area under a curve defined by any algebraic equation, an achievement completely
beyond the earlier methods ofTorricelli, Fermat, and Pascal. The work of Newton and
his contemporaries, including Leibniz and the Bernoullis, was concentrated in mathematical
analysis and physics.
In general we do not like to wait. But reduction of the waiting time usually requires extra investments. To decide whether or not to invest, it is important to know the eect of
the investment on the waiting time. So we need models and techniques to analyse such
situations.In this course we treat a number of elementary queueing models. Attention is paid to methods for the analysis of these models, and also to applications of queueing models.
Variable stars are those that change brightness. Their variability may be due to geometric processes such as rotation, or eclipse by a companion star, or physical processes such as vibration, ﬂares, or cataclysmic explosions. In each case, variable stars provide unique information about the properties of stars, and the processes that go on within them.
The book before the reader is devoted to an exposition of results of investigations
carried out mainly over the last 10-15 years concerning certain
questions in the theory of quasiconformal mappings.
The principal objects of investigation-mappings with bounded distortion-
are a kind of n-space analogue of holomorphic functions. As is
known, every holomorphic function is characterized geometrically by the
fact that the niapping of a planar domain it implements is conformal. In
the n-space case the condition of conformality singles out a very narrow
class of mappings.