Audin, Michèle
Overview
Works:  92 works in 370 publications in 4 languages and 7,631 library holdings 

Genres:  Biography History Fiction Historical fiction Records and correspondence Sources 
Roles:  Author, Editor, Interviewee, Publishing director, Thesis advisor, Translator 
Classifications:  QA445, 516 
Publication Timeline
.
Most widely held works by
Michèle Audin
Geometry by
Michèle Audin(
Book
)
25 editions published between 1998 and 2014 in English and French and held by 562 WorldCat member libraries worldwide
Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michèle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces. It includes many nice theorems like the ninepoint circle, Feuerbach's theorem, and so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master's level to discover geometry and deepen their knowledge and understanding
25 editions published between 1998 and 2014 in English and French and held by 562 WorldCat member libraries worldwide
Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michèle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces. It includes many nice theorems like the ninepoint circle, Feuerbach's theorem, and so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master's level to discover geometry and deepen their knowledge and understanding
Spinning tops : a course on integrable systems by
Michèle Audin(
Book
)
20 editions published between 1996 and 2004 in 4 languages and held by 362 WorldCat member libraries worldwide
20 editions published between 1996 and 2004 in 4 languages and held by 362 WorldCat member libraries worldwide
Holomorphic curves in symplectic geometry by
Michèle Audin(
Book
)
13 editions published in 1994 in English and held by 308 WorldCat member libraries worldwide
This book is devoted to pseudoholomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.P. Muller, P. Pansu, L. Polterovich, J.C. Sikorav. In an attempt to make this book accessible also to graduate students, the authors provide the necessary examples and techniques needed to understand the applications of the theory. The exposition is essentially selfcontained and includes numerous exercises
13 editions published in 1994 in English and held by 308 WorldCat member libraries worldwide
This book is devoted to pseudoholomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.P. Muller, P. Pansu, L. Polterovich, J.C. Sikorav. In an attempt to make this book accessible also to graduate students, the authors provide the necessary examples and techniques needed to understand the applications of the theory. The exposition is essentially selfcontained and includes numerous exercises
Fatou, Julia, Montel : the great prize of mathematical sciences of 1918, and beyond by
Michèle Audin(
Book
)
34 editions published between 2009 and 2011 in English and French and held by 304 WorldCat member libraries worldwide
How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources. Who were Pierre Fatou, Gaston Julia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the serious WW1 injury of Julia influence mathematical life in France? From the reviews of the French edition: "Audin{u2019}s book is indeed filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book{u2019}s title but a large number of other players, too {u2026} . the book under review addresses itself to scholars for whom the history of mathematics has a particular resonance and especially to mathematicians active, or even with merely an interest in, complex dynamics. {u2026} presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009)
34 editions published between 2009 and 2011 in English and French and held by 304 WorldCat member libraries worldwide
How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources. Who were Pierre Fatou, Gaston Julia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the serious WW1 injury of Julia influence mathematical life in France? From the reviews of the French edition: "Audin{u2019}s book is indeed filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book{u2019}s title but a large number of other players, too {u2026} . the book under review addresses itself to scholars for whom the history of mathematics has a particular resonance and especially to mathematicians active, or even with merely an interest in, complex dynamics. {u2026} presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009)
The topology of torus actions on symplectic manifolds by
Michèle Audin(
Book
)
11 editions published in 1991 in English and held by 261 WorldCat member libraries worldwide
This book 'COmes from a course I gave in Strasbourg in 198889. In the audience were in particular Julien Duval, Santiago Lopez de Medrano and Marcus Slupinski who helped me by their questions to understand many of the points I was supposed to be explaining. There were genuine students as well who, refusing to understand what I was badly explaining, suggested many improvements. I am thinking in particular of J. Fougeront, P. Gaucher, Li Jie and J.M. llinkel. I learned a lot in discussions with Michel Brion, mainly about "Duistermaat Heckman with singularities" and JeanYves Merindol, who taught me in particular the Inoue surfaces. The reader will probably think that I said almost nothing about Lie groups and algebras, she or he must know that without Nicole Bopp and Hubert Rubenthaler I would have said even less. I thank them all. The original version of this book was published in French by the Institut de Recherche MatMmatique A vancee. The English version the reader has in hand is not very different: I corrected some of the misprints in the mathematics, I updated the bibliographical references, I made the presence of the exercises more evident by numbering them (thanks to the automatic system of cross references in L\TE]X), I tried to suppress those of the bad jokes which were untranslatable, and I replaced a short discussion about "DuistermaatHeckman with singularities" with a whole section in chapter V
11 editions published in 1991 in English and held by 261 WorldCat member libraries worldwide
This book 'COmes from a course I gave in Strasbourg in 198889. In the audience were in particular Julien Duval, Santiago Lopez de Medrano and Marcus Slupinski who helped me by their questions to understand many of the points I was supposed to be explaining. There were genuine students as well who, refusing to understand what I was badly explaining, suggested many improvements. I am thinking in particular of J. Fougeront, P. Gaucher, Li Jie and J.M. llinkel. I learned a lot in discussions with Michel Brion, mainly about "Duistermaat Heckman with singularities" and JeanYves Merindol, who taught me in particular the Inoue surfaces. The reader will probably think that I said almost nothing about Lie groups and algebras, she or he must know that without Nicole Bopp and Hubert Rubenthaler I would have said even less. I thank them all. The original version of this book was published in French by the Institut de Recherche MatMmatique A vancee. The English version the reader has in hand is not very different: I corrected some of the misprints in the mathematics, I updated the bibliographical references, I made the presence of the exercises more evident by numbering them (thanks to the automatic system of cross references in L\TE]X), I tried to suppress those of the bad jokes which were untranslatable, and I replaced a short discussion about "DuistermaatHeckman with singularities" with a whole section in chapter V
One hundred twentyone days by
Michèle Audin(
Book
)
7 editions published between 2013 and 2016 in French and English and held by 232 WorldCat member libraries worldwide
"This debut novel by renowned mathematician Michèle Audinonly the second book ever published in English by a female member of the prestigious and influential Oulipofollows the lives of French mathematicians through the World Wars. Oscillating stylistically from chapter to chapterat times a novel, fable, historical research, diaryOne Hundred TwentyOne Days locks and unlocks historical codes as it unravels the tragic entanglement of politics and science, culminating in a wholly original and emotionally powerful reading experience."Page 4 of cover
7 editions published between 2013 and 2016 in French and English and held by 232 WorldCat member libraries worldwide
"This debut novel by renowned mathematician Michèle Audinonly the second book ever published in English by a female member of the prestigious and influential Oulipofollows the lives of French mathematicians through the World Wars. Oscillating stylistically from chapter to chapterat times a novel, fable, historical research, diaryOne Hundred TwentyOne Days locks and unlocks historical codes as it unravels the tragic entanglement of politics and science, culminating in a wholly original and emotionally powerful reading experience."Page 4 of cover
Torus actions on symplectic manifolds by
Michèle Audin(
Book
)
11 editions published in 2004 in English and held by 228 WorldCat member libraries worldwide
This is an extended second edition of "The Topology of Torus Actions on Symplectic Manifolds" published in this series in 1991. The material and references have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity theorems, it contains much more results, proofs and examples. Chapter I deals with Lie group actions on manifolds. In Chapters II and III, symplectic geometry and Hamiltonian group actions are introduced, especially torus actions and actionangle variables. The core of the book is Chapter IV which is devoted to applications of Morse theory to Hamiltonian group actions, including convexity theorems. As a family of examples of symplectic manifolds, moduli spaces of flat connections are discussed in Chapter V. Then, Chapter VI centers on the DuistermaatHeckman theorem. In Chapter VII, a topological construction of complex toric varieties is presented, and the last chapter illustrates the introduced methods for Hamiltonian circle actions on 4manifolds
11 editions published in 2004 in English and held by 228 WorldCat member libraries worldwide
This is an extended second edition of "The Topology of Torus Actions on Symplectic Manifolds" published in this series in 1991. The material and references have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity theorems, it contains much more results, proofs and examples. Chapter I deals with Lie group actions on manifolds. In Chapters II and III, symplectic geometry and Hamiltonian group actions are introduced, especially torus actions and actionangle variables. The core of the book is Chapter IV which is devoted to applications of Morse theory to Hamiltonian group actions, including convexity theorems. As a family of examples of symplectic manifolds, moduli spaces of flat connections are discussed in Chapter V. Then, Chapter VI centers on the DuistermaatHeckman theorem. In Chapter VII, a topological construction of complex toric varieties is presented, and the last chapter illustrates the introduced methods for Hamiltonian circle actions on 4manifolds
Symplectic geometry of integrable Hamiltonian systems by
Michèle Audin(
Book
)
13 editions published in 2003 in English and Undetermined and held by 209 WorldCat member libraries worldwide
Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasiperiodic. The quasiperiodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semiglobal) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising comeback in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book)
13 editions published in 2003 in English and Undetermined and held by 209 WorldCat member libraries worldwide
Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasiperiodic. The quasiperiodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semiglobal) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising comeback in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book)
Remembering Sofya Kovalevskaya by
Michèle Audin(
Book
)
26 editions published between 2008 and 2012 in 3 languages and held by 158 WorldCat member libraries worldwide
Sofia Kovalevskaya was a brilliant and determined young Russian woman of the 19th century who wanted to become a mathematician and who succeeded, in often difficult circumstances, in becoming arguably the first woman to have a professional university career in the way we understand it today. This memoir, written by a mathematician who specialises in symplectic geometry and integrable systems, is a personal exploration of the life, the writings and the mathematical achievements of a remarkable woman. It emphasises the originality of Kovalevskaya's work and assesses her legacy and reputation as
26 editions published between 2008 and 2012 in 3 languages and held by 158 WorldCat member libraries worldwide
Sofia Kovalevskaya was a brilliant and determined young Russian woman of the 19th century who wanted to become a mathematician and who succeeded, in often difficult circumstances, in becoming arguably the first woman to have a professional university career in the way we understand it today. This memoir, written by a mathematician who specialises in symplectic geometry and integrable systems, is a personal exploration of the life, the writings and the mathematical achievements of a remarkable woman. It emphasises the originality of Kovalevskaya's work and assesses her legacy and reputation as
Théorie de Morse et homologie de Floer by
Michèle Audin(
Book
)
23 editions published between 2010 and 2014 in English and French and held by 156 WorldCat member libraries worldwide
This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1periodic trajectories of a nondegenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinitedimensional analogue of Morse homology. Its involvement has been crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second part. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students
23 editions published between 2010 and 2014 in English and French and held by 156 WorldCat member libraries worldwide
This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1periodic trajectories of a nondegenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinitedimensional analogue of Morse homology. Its involvement has been crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second part. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students
Hamiltonian systems and their integrability by
Michèle Audin(
Book
)
9 editions published between 2008 and 2009 in English and held by 149 WorldCat member libraries worldwide
"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of actionangle coordinates. These techniques include analytical methods coming from the Galois theory of differential equations, as well as more classical algebrogeometric methods related to Lax equations. This book would be suitable for a graduate course in Hamiltonian systems."Jacket
9 editions published between 2008 and 2009 in English and held by 149 WorldCat member libraries worldwide
"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of actionangle coordinates. These techniques include analytical methods coming from the Galois theory of differential equations, as well as more classical algebrogeometric methods related to Lax equations. This book would be suitable for a graduate course in Hamiltonian systems."Jacket
Nouveaux invariants en géométrie et en topologie by
Michèle Audin(
Book
)
12 editions published between 2001 and 2002 in French and English and held by 145 WorldCat member libraries worldwide
12 editions published between 2001 and 2002 in French and English and held by 145 WorldCat member libraries worldwide
Les systèmes hamiltoniens et leur intégrabilité by
Michèle Audin(
Book
)
9 editions published in 2001 in French and held by 129 WorldCat member libraries worldwide
9 editions published in 2001 in French and held by 129 WorldCat member libraries worldwide
Une histoire de Jacques Feldbau by
Michèle Audin(
Book
)
12 editions published between 2009 and 2013 in German and French and held by 127 WorldCat member libraries worldwide
12 editions published between 2009 and 2013 in German and French and held by 127 WorldCat member libraries worldwide
Cobordismes d'immersions lagrangiennes et legendriennes by
Michèle Audin(
Book
)
12 editions published between 1986 and 1987 in French and held by 107 WorldCat member libraries worldwide
We compute V .I. Arnold's cobordism groups of Lagrange immersions in the cotangent bundle of a manifold : we deduce them from the special case of the cotangent bundle of IRn , those groups are the cobordism groups of manifold whose tangent bundle, when complexified, is trivialized ; we study in detail the algebraic invariants related to that situation, and give applications to the enumerative theory of Lagrange singularities. We use these results to compute the Cobordism groups of Legendre immersions in some contact elements manifolds. Methods use many aspects of cobordism theory and results can be used to show the existence of Lagrange or Legendre immersions satisfying certain conditions although very few explicit examples are known
12 editions published between 1986 and 1987 in French and held by 107 WorldCat member libraries worldwide
We compute V .I. Arnold's cobordism groups of Lagrange immersions in the cotangent bundle of a manifold : we deduce them from the special case of the cotangent bundle of IRn , those groups are the cobordism groups of manifold whose tangent bundle, when complexified, is trivialized ; we study in detail the algebraic invariants related to that situation, and give applications to the enumerative theory of Lagrange singularities. We use these results to compute the Cobordism groups of Legendre immersions in some contact elements manifolds. Methods use many aspects of cobordism theory and results can be used to show the existence of Lagrange or Legendre immersions satisfying certain conditions although very few explicit examples are known
Correspondance entre Henri Cartan et André Weil (19281991) by
Henri Cartan(
Book
)
5 editions published in 2011 in French and Undetermined and held by 83 WorldCat member libraries worldwide
5 editions published in 2011 in French and Undetermined and held by 83 WorldCat member libraries worldwide
Une vie brève : récit by
Michèle Audin(
Book
)
5 editions published between 2012 and 2015 in French and held by 41 WorldCat member libraries worldwide
M. Audin, mathématicienne et membre de l'Oulipo, réunit tous les témoignages sur la vie de son père Maurice Audin. Militant pour l'indépendance de l'Algérie, il est mort à l'âge de 25 ans, assassiné par l'armée française. Elle revient sur son enfance dans une famille modeste, ses études brillantes et sa carrière de mathématicien brusquement interrompue.[Memento]
5 editions published between 2012 and 2015 in French and held by 41 WorldCat member libraries worldwide
M. Audin, mathématicienne et membre de l'Oulipo, réunit tous les témoignages sur la vie de son père Maurice Audin. Militant pour l'indépendance de l'Algérie, il est mort à l'âge de 25 ans, assassiné par l'armée française. Elle revient sur son enfance dans une famille modeste, ses études brillantes et sa carrière de mathématicien brusquement interrompue.[Memento]
La formule de Stokes, roman by
Michèle Audin(
Book
)
4 editions published between 2015 and 2016 in French and held by 39 WorldCat member libraries worldwide
De ce roman, du 1er janvier au 31 décembre, une formule est l'héroïne. Elle revêt différents atours pour se faire apprécier de différents physiciens et mathématiciens, de Gauss à Bourbaki en passant par Ostrogradski, Green, Kelvin et Stokes, Riemann, Élie Cartan. D'un moulin de Nottingham aux rives du lac Majeur, d'Ukraine à Paris, elle voyage en diligence, emprunte de délicats ponts de chemin de fer et visite l'Angleterre victorienne, la Russie tsariste et la France de la Troisième République ; elle est à Paris pendant l'affaire Dreyfus, assiste aux combats meurtriers sur le canal de l'Escaut pendant la première guerre mondiale ; elle contemple la formation d'une communauté mathématique, avant de s'incarner sous une forme élégante et épurée, moderniste, presque futuriste... [Source : 4e de couv.]
4 editions published between 2015 and 2016 in French and held by 39 WorldCat member libraries worldwide
De ce roman, du 1er janvier au 31 décembre, une formule est l'héroïne. Elle revêt différents atours pour se faire apprécier de différents physiciens et mathématiciens, de Gauss à Bourbaki en passant par Ostrogradski, Green, Kelvin et Stokes, Riemann, Élie Cartan. D'un moulin de Nottingham aux rives du lac Majeur, d'Ukraine à Paris, elle voyage en diligence, emprunte de délicats ponts de chemin de fer et visite l'Angleterre victorienne, la Russie tsariste et la France de la Troisième République ; elle est à Paris pendant l'affaire Dreyfus, assiste aux combats meurtriers sur le canal de l'Escaut pendant la première guerre mondiale ; elle contemple la formation d'une communauté mathématique, avant de s'incarner sous une forme élégante et épurée, moderniste, presque futuriste... [Source : 4e de couv.]
Mademoiselle Haas : récits by
Michèle Audin(
Book
)
5 editions published between 2015 and 2016 in French and held by 26 WorldCat member libraries worldwide
5 editions published between 2015 and 2016 in French and held by 26 WorldCat member libraries worldwide
The topology of Torus action on sympletic manifolds by
Michèle Audin(
Book
)
1 edition published in 1991 in English and held by 21 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 21 WorldCat member libraries worldwide
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Académie des sciences (France) Algeria Audin, Maurice, Cartan, Henri, Cell aggregationMathematics Cobordism theory Communists Developmental psychology Differentiable dynamical systems Disappeared persons Dynamics Ergodic theory Feldbau, Jacques, Fiber spaces (Mathematics) Floer homology France Geometry Geometry, Algebraic Global differential geometry Hamiltonian systems History Holomorphic functions Immersions (Mathematics) Integral geometry Invariants Iterative methods (Mathematics) Julia, Gaston, Kovalevskai︠a︡, S. V.(Sofʹi︠a︡ Vasilʹevna), Lagrangian functions Mappings (Mathematics) Mathematicians Mathematics MathematicsAwards Mechanics, Applied Montel, Paul, Morse theory Revolution (Algeria : 19541962) Russia Russia (Federation) SeibergWitten invariants Stokes' theorem Symplectic and contact topology Symplectic manifolds Topology Tops Torture Weil, André, Women mathematicians World War (19141918) World War (19391945)
Alternative Names
Audin, M.
Audin, Michele
Michèle Audin Frans wiskundige
Michèle Audin französische Mathematikerin
Michèle Audin French mathematician
Michèle Audin matemática francesa
Michèle Audin mathématicienne française
Оден, Мишель
Оден, Мишель (математик)
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