WorldCat Identities

Melo, Welington de

Overview
Works: 30 works in 117 publications in 5 languages and 1,894 library holdings
Genres: Conference proceedings 
Roles: Editor
Classifications: QC174.45, 530.1430151
Publication Timeline
Key
Publications about  Welington de Melo Publications about Welington de Melo
Publications by  Welington de Melo Publications by Welington de Melo
Most widely held works by Welington de Melo
Mathematical aspects of quantum field theory by Edson de Faria ( )
16 editions published between 2010 and 2011 in English and held by 584 WorldCat member libraries worldwide
"Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations"--
Geometric theory of dynamical systems : an introduction by Jacob Palis Júnior ( Book )
20 editions published between 1982 and 1998 in 3 languages and held by 442 WorldCat member libraries worldwide
One-dimensional dynamics by Welington de Melo ( Book )
15 editions published between 1993 and 2012 in English and German and held by 381 WorldCat member libraries worldwide
This monograph gives an account of the state of the art in one-dimensional dynamical systems. It presents the theory in a unified way emphasizing the similarities and differences between invertible and non-invertible dynamics (i.e., between diffeomorphisms and endomorphisms). It starts with the invertible case: the combinatorial topological, ergodic and smooth structures are analysed extensively. Then it proceeds by showing that endomorphisms have a much richer dynamics, but that the theory for these endomorphisms can still be developed along the same lines and with similar tools. Moreover, holomorphic dynamical systems are shown to be based on similar principles. In fact, it is shown that complex analytic tools are very powerful even for the study of real one-dimensional systems. Several results in this book are new. Moreover, the exciting new developments on universality and renormalization due to D. Sullivan, are presented here in full detail for the first time
Mathematical tools for one-dimensional dynamics by Edson de Faria ( Book )
14 editions published in 2008 in English and held by 220 WorldCat member libraries worldwide
This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented and an appendix considers Riemann surfaces and Teichmüller theory
Geometric methods in dynamics : volume in honor of Jacob Palis by International Conference on Dynamical Systems ( Book )
10 editions published between 2002 and 2003 in English and French and held by 145 WorldCat member libraries worldwide
Estabilidade estrutural em variedades de dimensão 2 by Welington de Melo ( Book )
5 editions published between 1972 and 1973 in 3 languages and held by 20 WorldCat member libraries worldwide
Introducao aos sistemas dinamicos by Jacob Palis Júnior ( Book )
9 editions published between 1975 and 1978 in Portuguese and held by 16 WorldCat member libraries worldwide
Geometric methods in dynamics. volume in honor of Jacob Palis by Conférence internationale sur les systèmes dynamiques ( Book )
2 editions published in 2003 in English and held by 16 WorldCat member libraries worldwide
Geometric methods in dynamics. volume in honor of Jacob Palis by Conférence internationale sur les systèmes dynamiques ( Book )
1 edition published in 2003 in English and held by 11 WorldCat member libraries worldwide
Lectures on one-dimensional dynamics by Welington de Melo ( Book )
3 editions published between 1989 and 1990 in English and held by 9 WorldCat member libraries worldwide
One dimensional dynamics : the mathematical tools by Edson de Faria ( Book )
2 editions published in 2001 in Portuguese and English and held by 4 WorldCat member libraries worldwide
Mathematical Tools for One-Dimensional Dynamics. Cambridge Studies in Advanced Mathematics, Volume 115 ( )
1 edition published in 2008 in English and held by 3 WorldCat member libraries worldwide
Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmuller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics
Geometric methods in dynamics : volume in honor of Jacob Palis ( Book )
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
Julia-Fatou-Sullivan theory for real one-dimensional dynamics by Marco Martens ( Book )
1 edition published in 1988 in English and held by 3 WorldCat member libraries worldwide
Geometric methods in dynamics : volume in honor of Jacob Palis ( Book )
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
Mathematical aspects of quantum fiels theory by Edson de Faria ( Book )
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
 
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Audience level: 0.71 (from 0.00 for Mathematic ... to 0.93 for Geometric ...)
Alternative Names
De Melo, Welington
De Melo, Welington, 1946-
Di Melu, V.
Di Melu, V., 1946-
Melo, W. de 1946-
Melo, Welington de
Melu, V. Di.
Languages
English (86)
Portuguese (13)
German (2)
French (2)
Spanish (2)
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