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Linearization Models for Complex Dynamical Systems (Repost)

Posted By: AvaxGenius
Linearization Models for Complex Dynamical Systems (Repost)

Linearization Models for Complex Dynamical Systems: Topics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin by David Shoikhet
English | PDF | 2010 | 271 Pages | ISBN : 3034605080 | 2 MB

This book provides valuable insights into complex analysis, dynamical systems, geometric function theory and operator theory. Intended for a broad spectrum of readers, ranging from undergraduate and graduate mathematics students to active researchers, it offers extensive coverage of recent advances in geometric function theory, including the theory of starlike and spirallike functions with respect to a boundary point. Of particular interest is its treatment of continuous time semigroups, about which little has been previously known, emphasizing the use of generation theory for continuous dynamical systems.

Problems in Real and Complex Analysis

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Problems in Real and Complex Analysis

Problems in Real and Complex Analysis by Bernard R. Gelbaum
English | PDF | 1992 | 490 Pages | ISBN : 038797766X | 29.7 MB

In the pages that follow there are: A. A revised and enlarged version of Problems in analysis (PIA) . (All typographical, stylistic, and mathematical errors in PIA and known to the writer have been corrected.) B. A new section COMPLEX ANALYSIS containing problems distributed among many of the principal topics in the theory of functions of a complex variable. C. A total of 878 problems and their solutions.

Complex Methods for Partial Differential Equations

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Complex Methods for Partial Differential Equations

Complex Methods for Partial Differential Equations by Heinrich G. W. Begehr
English | PDF | 1999 | 331 Pages | ISBN : 0792360001 | 37.7 MB

This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par­ tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech­ nical Research Council of Turkey and the Middle East Technical University.

Analysis and Geometry in Several Complex Variables

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Analysis and Geometry in Several Complex Variables

Analysis and Geometry in Several Complex Variables: Proceedings of the 40th Taniguchi Symposium by Gen Komatsu
English | PDF | 1999 | 322 Pages | ISBN : 0817640673 | 39.1 MB

This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997. Since the inhomogeneous Cauchy-Riemann equation was introduced in the study of Complex Analysis of Several Variables, there has been strong interaction between Complex Analysis and Real Analysis, in particular, the theory of Partial Differential Equations.

Modular Forms: Fundamental Tools of Mathematics

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Modular Forms: Fundamental Tools of Mathematics

Modular Forms: Fundamental Tools of Mathematics by Claudia Alfes-Neumann
English | PDF,EPUB | 2021 | 44 Pages | ISBN : N/A | 2.5 MB

In this essential, Claudia Alfes-Neumann discusses applications of the theory of modular forms and their importance as fundamental tools in mathematics. These functions - initially defined purely analytically - appear in many areas of mathematics: very prominently in number theory, but also in geometry, combinatorics, representation theory, and physics.

Vitushkin’s Conjecture for Removable Sets

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Vitushkin’s Conjecture for Removable Sets

Vitushkin’s Conjecture for Removable Sets by James J. Dudziak
English | PDF,EPUB | 2010 | 338 Pages | ISBN : 1441967087 | 10.6 MB

Vitushkin's conjecture, a special case of Painlevé's problem, states that a compact subset of the complex plane with finite linear Hausdorff measure is removable for bounded analytic functions if and only if it intersects every rectifiable curve in a set of zero arclength measure. Chapters 6-8 of this carefully written text present a major recent accomplishment of modern complex analysis, the affirmative resolution of this conjecture.

Mathematical Physics: Applications and Problems

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Mathematical Physics: Applications and Problems

Mathematical Physics: Applications and Problems by V. Balakrishnan
English | PDF,EPUB | 2020 | 790 Pages | ISBN : 3030396797 | 54 MB

This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and self-contained text which explains how mathematics intertwines with and forms an integral part of physics in numerous instances.