WorldCat Identities

Melo, Welington de

Overview
Works: 26 works in 148 publications in 7 languages and 2,162 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor
Classifications: QA614, 514.74
Publication Timeline
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Most widely held works by Welington de Melo
Geometric theory of dynamical systems : an introduction by Jacob Palis Júnior( Book )

27 editions published between 1982 and 1998 in 4 languages and held by 454 WorldCat member libraries worldwide

... Cette etude qualitative (des equations difj'erentielles) aura par elle-m~me un inter~t du premier ordre ... HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations
One-dimensional dynamics by Welington de Melo( Book )

19 editions published between 1993 and 2012 in English and German and held by 397 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 aspects of quantum field theory by Edson de Faria( Book )

18 editions published between 2010 and 2011 in English and held by 217 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 has 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 methods in dynamics : volume in honor of Jacob Palis by International Conference on Dynamical Systems( Book )

23 editions published between 2002 and 2003 in English and French and held by 213 WorldCat member libraries worldwide

Mathematical tools for one-dimensional dynamics by Edson de Faria( Book )

14 editions published in 2008 in English and held by 185 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
Introducao aos sistemas dinamicos by Jacob Palis Júnior( Book )

11 editions published between 1975 and 1978 in Portuguese and held by 20 WorldCat member libraries worldwide

Estabilidade estrutural em variedades de dimensão 2 by Welington de Melo( Book )

4 editions published between 1972 and 1973 in Portuguese and Undetermined and held by 18 WorldCat member libraries worldwide

Jacob Palis-selected works by Jacob Palis Júnior( Book )

2 editions published in 2014 in English and held by 16 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 11 WorldCat member libraries worldwide

Selected Works by Jacob Palis Júnior( Book )

2 editions published in 2014 in English and held by 6 WorldCat member libraries worldwide

Diffeomorphisms on surfaces with a finite number of moduli by Welington de Melo( Book )

5 editions published in 1984 in English and Portuguese and held by 4 WorldCat member libraries worldwide

A structure theorem in one dimensional dynamics by Welington de Melo( Book )

3 editions published in 1986 in 3 languages and held by 4 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

Julia-Fatou-Sullivan theory for real one-dimensional dynamics by Marco Martens( Book )

2 editions published in 1988 in English and held by 4 WorldCat member libraries worldwide

Dong tai xi tong de ji he li lun dao yin by li si Pa( Book )

1 edition published in 1986 in Chinese and held by 2 WorldCat member libraries worldwide

A structure theorem in one dimensional dynamics by Welington de Melo( )

1 edition published in 1986 in English and held by 1 WorldCat member library worldwide

On the cyclicity of recurrent flows on surfaces by Welington de Melo( Book )

1 edition published in 1995 in English and held by 1 WorldCat member library worldwide

A finiteness problem for one dimensional maps by Welington de Melo( )

1 edition published in 1984 in English and held by 1 WorldCat member library worldwide

Estabilidade estructural em variedades de dimensao 2 by Welington de Melo( )

1 edition published in 1972 in Portuguese and held by 1 WorldCat member library worldwide

Mathematical Tools for One-Dimensional Dynamics. Cambridge Studies in Advanced Mathematics, Volume 115( )

1 edition published in 2008 in English and held by 0 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
 
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Mathematical aspects of quantum field theory
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.

Welington de Melo brasilianischer Mathematiker

Welington de Melo Brazilian mathematician

Welington de Melo wiskundige uit Brazilië

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Mathematical tools for one-dimensional dynamics