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Field, Mike

Overview
Works: 17 works in 147 publications in 4 languages and 4,743 library holdings
Genres: Textbooks  Handbooks and manuals  Terminology  Conference papers and proceedings 
Roles: Author
Publication Timeline
Key
Publications about Mike Field
Publications by Mike Field
Most widely held works by Mike Field
Symmetry in chaos : a search for pattern in mathematics, art and nature by Mike Field( Book )
47 editions published between 1992 and 2009 in 3 languages and held by 1,328 libraries worldwide
Chaotic dynamics (known popularity as chaos theory or, more simply, chaos) is among the most fascinating new fields in modern science, revolutionizing our understanding of order and pattern in nature. Symmetry, a traditional and highly developed area of mathematics, would seem to lie at the opposite end of the spectrum. From the branching of trees to the rose windows of great cathedrals, symmetric patterns seem the antithesis of such chaotic systems as weather patterns. And yet, scientists are now finding connections which could have profound consequences for our understanding of the physical world. In Symmetry in Chaos, mathematicians Michael Field and Martin Golubitsky offer an engaging look at where these two fields meet. In the process, they have generated mathematically a series of stunning computer images linking symmetry and chaos. Field and Golubitsky describe how a chaotic process eventually can lead to symmetric patterns (in a river, for instance, photographs of the turbulent movement of eddies, taken over time, often reveal patterns on average) and they provide clear explanations of the science that lies behind the computer images that link symmetry and chaos. And the images they generate are spectacular. Because of the symmetry, these full-color and black-and-white images - some chaotic and some fractal - have a surprisingly classical appearance. Indeed, through comparisons with pictures from nature, such as sea shells and flowers, and decorative designs ranging from Islamic motifs to contemporary graphic lotos to ceramic tiles, the authors highlight the familiar yet unusual nature of these mysterious pictures. Finally, the book features an appendix containing several BASIC programs, which will enable home computer owners to experiment with similar images. This lavishly illustrated, oversized volume offers both a fascinating glimpse of the frontier of modern science and a stunning collection of remarkable images. Symmetry in Chaos will intrigue science buffs as well as anyone interested in decorative art and pattern design. -- from dust jacket
Symmetry breaking for compact Lie groups by Mike Field( Book )
13 editions published in 1996 in English and held by 237 libraries worldwide
Ergodic theory of equivariant diffeomorphisms : Markov partitions and stable ergodicity by Mike Field( Book )
6 editions published in 2004 in English and held by 212 libraries worldwide
Introduction Equivariant geometry and dynamics Technical preliminaries Part 1. Markov Partitions: Markov partitions for finite group actions Transversally hyperbolic sets Markov partitions for basic sets Part 2. Stable Ergodicity: Preliminaries Livsic regularity and ergodic components Stable ergodicity Appendix A. On the absolute continuity of $\nu$ Appendix. Bibliography
Lectures on bifurcations, dynamics and symmetry by Mike Field( Book )
9 editions published in 1996 in English and held by 187 libraries worldwide
Differential calculus and its applications by Mike Field( Book )
18 editions published between 1976 and 2013 in English and Undetermined and held by 164 libraries worldwide
"This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition"--
Dynamics and symmetry by Mike Field( Book )
17 editions published in 2007 in English and held by 158 libraries worldwide
"This important book forms a theoretical basis of future work on equivariant reversible and Hamiltonian systems. This book also provides a general and comprehensive introduction to codimension one equivariant bifurcation theory. In particular, it includes the bifurcation theory developed with Roger Richardson on subgroups of reflection groups and the Maximal Isotropy Subgroup Conjecture. A number of general results are also given on the global theory. Introductory material on groups, representations and G-manifolds are covered in the first three chapters of the book. In addition, a self-contained introduction of equivariant transversality is given, including necessary results on stratifications as well as results on equivariant jet transversality developed by Edward Bierstone."--Jacket
La symétrie du chaos : a la recherche des liens entre mathématiques, art et nature by Mike Field( Book )
5 editions published in 1993 in French and held by 85 libraries worldwide
L'ambition de ce livre est de faire découvrir au lecteur des images de chaos symétrique. Ces images correspondent à trois catégories: les icônes symétriques, les couettes et les fractales symétriques. "Leur complexité procède de la dynamique chaotique qui leur a donné naissance, tandis que leur aspect familier résulte de leur symétrie."
Several complex variables and complex manifolds 2 by Mike Field( Book )
16 editions published in 1982 in English and Undetermined and held by 59 libraries worldwide
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for adv
Several complex variables and complex manifolds by Mike Field( Book )
2 editions published in 1982 in English and held by 12 libraries worldwide
Equivariant dynamical systems by Mike Field( Book )
5 editions published in 1970 in English and held by 10 libraries worldwide
Several complex variables and complex manifolds by Mike Field( Book )
3 editions published in 1982 in English and held by 9 libraries worldwide
Cover; Series Page; Title; Copyright; Preface; Contents; Notations and Conventions; CHAPTER 1. FUNCTIONS OF ONE COMPLEX VARIABLE; Introduction; 1. Analytic functions and power series; 2. Meromorphic functions; 3. Theorems of Weierstrass and Mittag-Leffler; Remarks; 4. Riemann surfaces; Remarks; Examples; Exercises; 5. Vector bundles; Remarks; Examples; Exercises; Exercises; CHAPTER 2. FUNCTIONS OF SEVERAL COMPLEX VARIABLES; Introduction; 1. Elementary theory of analytic functions of several complex variables; Remarks; Examples; Exercises; 2. Removable Singularities
Kleine Küchen der Alten Welt by Mike Field( Book )
1 edition published in 1983 in German and held by 4 libraries worldwide
Kochkurs für Schlemmer Rezepte mit Erfolgsgarantie by Mike Field( Book )
1 edition published in 1976 in German and held by 3 libraries worldwide
Chaotische Symmetrien Die Suche nach Mustern in Mathematik, Kunst und Natur by Mike Field( file )
1 edition published in 1993 in German and held by 1 library worldwide
Travel consultant course, level 1 : travel terminology by Mike Field( Book )
1 edition published in 1990 in English and held by 1 library worldwide
Kleine Küchen der Alten Welt by Michael Field( Book )
1 edition published in 1979 in German and held by 1 library worldwide
Several complex variables and complex manifolds by Mike Field( Book )
1 edition published in 1982 in English and held by 0 libraries worldwide
 
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Alternative Names
Field, M. 1945-
Field, M. J.
Field, M. J. 1945-
Field, Michael
Field Michael 19..-.... mathématicien
Field, Michael 1945-
Field, Michael J.
Field, Michael J. 1945-
Field, Michael J. (Michael John)
Field, Michael John.
Field, Michael John 1945-
Field, Michael, mathématicien, 19..-....
Languages
English (134)
French (5)
German (4)
Danish (1)
Covers
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