Dynamics in One Complex Variable

Science & Math

Milnor

Mathematics

Friedrick Vieweg & Son

The method of integral representations is developed in order to establish 1. classical fundamental results of complex analysis both elementary and advanced, 2. subtle existence and regularity theorems for the Cauchy-Riemann equations on complex manifolds.

The Cauchy-Riemann Complex: Integral Formulae and Neumann Problem (Vieweg Aspects of Mathematics)

Lieb, Ingo

Michel, Joachim

Proceedings of the Seventh Gamm-Conference on Numerical Methods in Fluid Mechanics (Notes on Numerical Fluid Mechanics)

Physics

These notes will study the dynamics of iterated holomorphic mappings from a Riemann surface to itself concentrating on the classical case of rational maps of the Riemann sphere They are based on introductory lectures given at Stony Brook during the Fall Term of 1989 90 and also in later years I am grateful to the audiences for a great deal of constructive criticism and to Branner Douady Hubbard and Shishikura who taught me most of what I know in this field Also I want to thank A Poirier S Zakeri and R Perez for their extremely helpful criticisms of various drafts There have been a number of extremely useful surveys of holomorphic dynamics over the years those of Brolin Douady Blanchard Lyubich Devaney Keen and Eremenko Lyubich as well as the textbooks by Bear don Steinmetz and Carleson Gamelin are particularly recommended to the reader Compare the list of references at the end and see Alexander for historical information This subject is large and rapidly growing These lectures are intended to introduce the reader to some key ideas in the field and to form a basis for further study The reader is assumed to be familiar with the rudiments of complex variable theory and of two dimensional differential geometry as well as some basic topics from topology The necessary material can be found for example in Ahlfors 1966 Hocking and Young Munkres and vVillmore This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself concentrating on the classical case of rational maps of the Riemann sphere The subject is large and rapidly growing These notes are intended to introduce the reader to some key ideas in the field and to form a basis for further study The reader is assumed to be familiar with the rudiments of complex variable theory and of two dimensional differential geometry as well as some basic topics from topology This volume studies the dynamics of iterated holomorphic mappings from a

Dynamics in One Complex Variable: Introductory Lectures

Milnor, John

This book demonstrates the efficiency of the C++ programming language in the realm of pattern recognition and pattern analysis. For this 3rd edition, new features of the C++ language were integrated and their relevance for image and speech processing is discussed. The description of the STL library was extended and STL is now used in many places in the book. The chapters 23 and 24 can now be used to build complete systems and give hints for further extensions. The book is divided into four parts. After an introduction to programming and software engineering, the required basics of image and speech processing are given. Statistics and mathematics is explained as required. The second part threats C++ as an object-oriented language and introduces it through examples. In the third part the examples of the first and second part are combined to form an image segmentation and word recognition system. All relevant features of the C++ language are thus introduced with direct relation to the tasks in image and speech processing.

Applied Pattern Recognition: A Practical Introduction to Image and Speech Processing in C++

Computers & Technology

Paulus, Dietrich W. R.

Hornegger, Joachim

Programming Languages

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