Metrical And Dynamical Aspects In Complex Analysis PDF Download
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Author | : Léa Blanc-Centi |
Publisher | : Springer |
Total Pages | : 184 |
Release | : 2017-11-03 |
Genre | : Mathematics |
ISBN | : 3319658379 |
Download Metrical and Dynamical Aspects in Complex Analysis Book in PDF, ePub and Kindle
The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.
Author | : Marco Abate |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 372 |
Release | : 2022-12-05 |
Genre | : Mathematics |
ISBN | : 3110601974 |
Download Holomorphic Dynamics on Hyperbolic Riemann Surfaces Book in PDF, ePub and Kindle
This completely revised and updated edition of the one variable part of the author's classic older book "Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of holomorphic dynamical systems on hyperbolic Riemann surfaces from the very beginning of the subject up to the most recent developments. It is intended both as a reference book for the experts and as an accessible gateway to this beautiful theory for Master and Ph.D. students. It also contains extensive historical notes and references for further readings.
Author | : Contreras Márquez Contreras |
Publisher | : American Mathematical Soc. |
Total Pages | : 177 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 0821858491 |
Download Five Lectures in Complex Analysis Book in PDF, ePub and Kindle
"This volume contains state-of-art survey papers in complex analysis based on lectures given at the second Winter School on Complex Analysis and Operator Theory held in February 2008 at the University of Sevilla, Sevilla, Spain." "Complex analysis is oneof the most classical branches of mathematical analysis and is closely related to many other areas of mathematics, including operator theory, harmonic analysis, probability theory, functional analysis and dynamical systems. Undoubtedly, the interplay among all these branches gives rise to very beautiful and deep results in complex analysis and its neighboring fields. This interdisciplinary aspect of complex analysis is the central topic of this volume." "This book collects the latest advances in five significant areas of rapid development in complex analysis. The papers are: Local holomorphic dynamics of diffeomorphisms in dimension one, by F. Bracci, Nonpostive curvature and complex analysis, by S. M. Buckley, Virasoro algebra and dynamics in the space of univalent functions, by I. Markina and A. Vasil'ev, Composition operators Toeplitz operators, by J. H. Shapir, and Two applications of the Bergman spaces techniques, by S. Shimorin." "The papers are aimed, in particular, at graduate students with some experince in basic complex analysis. They might also serve as introductions for general researchers in mathematical analysis who may be interested in the specific areas addressed by the authors. Indeed, the contributions can be considered as up-to-the minute reports on the current state of the fields, each of them including many recent results which may be difficult to find in the literature."--BOOK JACKET.
Author | : Ivan Francis Wilde |
Publisher | : Imperial College Press |
Total Pages | : 260 |
Release | : 2006 |
Genre | : Technology & Engineering |
ISBN | : 1860946429 |
Download Lecture Notes on Complex Analysis Book in PDF, ePub and Kindle
This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc. and MSci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis.Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In particular, the appearance of ã, in this context, is carefully explained.The central results of the subject, such as Cauchy's Theorem and its immediate corollaries, as well as the theory of singularities and the Residue Theorem are carefully treated while avoiding overly complicated generality. Throughout, the theory is illustrated by examples.A number of relevant results from real analysis are collected, complete with proofs, in an appendix.The approach in this book attempts to soften the impact for the student who may feel less than completely comfortable with the logical but often overly concise presentation of mathematical analysis elsewhere.
Author | : Brian McMaster |
Publisher | : Oxford University Press |
Total Pages | : 256 |
Release | : 2022-05-02 |
Genre | : Mathematics |
ISBN | : 0192661574 |
Download Integration with Complex Numbers Book in PDF, ePub and Kindle
Complex analysis, more than almost any other undergraduate topic in mathematics, runs the full pure/applied gamut from the most subtle, difficult, and ingenious proofs to the most direct, hands-on, engineering-based applications. This creates challenges for the instructor as much as for the very wide range of students whose various programmes require a secure grasp of complex analysis. Its techniques are indispensable to many, but skill in the use of a mathematical tool is hazardous and fallible without a sound understanding of why and when that tool is the right one to pick up. This kind of understanding develops only by combining careful exploration of ideas, analysis of proofs, and practice across a range of exercises. Integration with Complex Numbers: A Primer on Complex Analysis offers a reader-friendly contemporary balance between idea, proof, and practice, informed by several decades of classroom experience and a seasoned understanding of the backgrounds, motivation, and competing time pressures of today's student cohorts. To achieve its aim of supporting and sustaining such cohorts through those aspects of complex analysis that they encounter in first and second-year study, it also balances competing needs to be self-contained, comprehensive, accessible, and engaging - all in sufficient but not in excessive measures. In particular, it begins where most students are likely to be, and invests the time and effort that are required in order to deliver accessibility and introductory gradualness.
Author | : Mark Lʹvovich Agranovskiĭ |
Publisher | : American Mathematical Soc. |
Total Pages | : 314 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821851977 |
Download Complex Analysis and Dynamical Systems IV Book in PDF, ePub and Kindle
The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.
Author | : Luis T. Magalhães |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2024-10-08 |
Genre | : Mathematics |
ISBN | : 9783031649981 |
Download Complex Analysis and Dynamics in One Variable with Applications Book in PDF, ePub and Kindle
This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material, the book delves into an extensive range of advanced topics, encompassing the requirements for a one-year graduate-level course or a preliminary exam. In this work, the reader will discover three distinctive characteristics: it simplifies and unifies ideas and concepts that might appear disparate or complicated in real analysis; it contributes to the development of other areas in mathematics; and it showcases relevance for applications in Science and Engineering, with many exercises. Historical notes throughout the text help to contextualize the theory. With its flexible structure, this textbook provides a solid foundation for a first course in Complex Analysis and for a second more advanced course, establishing a robust basis for subsequent studies.
Author | : John Duncan |
Publisher | : John Wiley & Sons |
Total Pages | : 352 |
Release | : 1968 |
Genre | : Mathematics |
ISBN | : |
Download The Elements of Complex Analysis Book in PDF, ePub and Kindle
Author | : Semen Gindikin |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 1989-12-12 |
Genre | : Mathematics |
ISBN | : 9783540181743 |
Download Several Complex Variables IV Book in PDF, ePub and Kindle
This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.
Author | : G. N. Reeke |
Publisher | : CRC Press |
Total Pages | : 736 |
Release | : 2005-03-29 |
Genre | : Mathematics |
ISBN | : 0203390970 |
Download Modeling in the Neurosciences Book in PDF, ePub and Kindle
Computational models of neural networks have proven insufficient to accurately model brain function, mainly as a result of simplifications that ignore the physical reality of neuronal structure in favor of mathematically tractable algorithms and rules. Even the more biologically based "integrate and fire" and "compartmental" styles of modeling suff