Audin, Michèle
Overview
Works:  117 works in 420 publications in 4 languages and 8,527 library holdings 

Genres:  History Biography Fiction Historical fiction Records and correspondence Sources 
Roles:  Author, Editor, Interviewee, Publishing director, Thesis advisor, Author of introduction, Translator 
Publication Timeline
.
Most widely held works by
Michèle Audin
Geometry by
Michèle Audin(
)
29 editions published between 1998 and 2014 in 3 languages and held by 1,654 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
29 editions published between 1998 and 2014 in 3 languages and held by 1,654 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
Théorie de Morse et homologie de Floer by
Michèle Audin(
)
9 editions published in 2010 in French and English and held by 1,066 WorldCat member libraries worldwide
9 editions published in 2010 in French and English and held by 1,066 WorldCat member libraries worldwide
Fatou, Julia, Montel : the great prize of mathematical sciences of 1918, and beyond by
Michèle Audin(
)
30 editions published between 2009 and 2011 in English and French and held by 963 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's book is indeed filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book's title but a large number of other players, too ... 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. ... presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009)
30 editions published between 2009 and 2011 in English and French and held by 963 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's book is indeed filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book's title but a large number of other players, too ... 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. ... presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009)
One hundred twentyone days by
Michèle Audin(
)
10 editions published between 2013 and 2016 in French and English and held by 808 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
10 editions published between 2013 and 2016 in French and English and held by 808 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
The topology of torus actions on symplectic manifolds by
Michèle Audin(
Book
)
27 editions published between 1989 and 2004 in English and French and held by 642 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 more results, proofs and examples."BOOK JACKET
27 editions published between 1989 and 2004 in English and French and held by 642 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 more results, proofs and examples."BOOK JACKET
Remembering Sofya Kovalevskaya by
Michèle Audin(
)
24 editions published between 2008 and 2012 in 3 languages and held by 554 WorldCat member libraries worldwide
This memoir is a personal exploration of the life, the writings and the mathematical achievements of a the 19th century Russian mathematician, Sofia Kovalevskaya (18501891), who became arguably the first woman to have a professional university career in the way we understand it today. Her ideas are explained in a way that is accessible to a general audience, with diagrams, marginal notes and commentary to help explain the mathematical concepts and provide context
24 editions published between 2008 and 2012 in 3 languages and held by 554 WorldCat member libraries worldwide
This memoir is a personal exploration of the life, the writings and the mathematical achievements of a the 19th century Russian mathematician, Sofia Kovalevskaya (18501891), who became arguably the first woman to have a professional university career in the way we understand it today. Her ideas are explained in a way that is accessible to a general audience, with diagrams, marginal notes and commentary to help explain the mathematical concepts and provide context
Holomorphic curves in symplectic geometry by
Michele Audin(
Book
)
15 editions published in 1994 in English and held by 388 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
15 editions published in 1994 in English and held by 388 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
Spinning tops : a course on integrable systems by
Michèle Audin(
Book
)
23 editions published between 1996 and 2004 in 4 languages and held by 370 WorldCat member libraries worldwide
23 editions published between 1996 and 2004 in 4 languages and held by 370 WorldCat member libraries worldwide
Morse theory and Floer homology by
Michèle Audin(
)
14 editions published between 2013 and 2014 in English and held by 369 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
14 editions published between 2013 and 2014 in English and held by 369 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
Symplectic geometry of integrable Hamiltonian systems by
Michèle Audin(
Book
)
13 editions published in 2003 in English and held by 285 WorldCat member libraries worldwide
"This book contains an expanded version of the lectures delivered by the authors at the CRM Barcelona in July 2001. It serves as an introduction to symplectic and contact geometry for graduate students and will be useful to research mathematicians interested in integrable systems."Jacket
13 editions published in 2003 in English and held by 285 WorldCat member libraries worldwide
"This book contains an expanded version of the lectures delivered by the authors at the CRM Barcelona in July 2001. It serves as an introduction to symplectic and contact geometry for graduate students and will be useful to research mathematicians interested in integrable systems."Jacket
Hamiltonian systems and their integrability by
Michèle Audin(
Book
)
20 editions published between 2001 and 2009 in English and French and held by 282 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
20 editions published between 2001 and 2009 in English and French and held by 282 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
Jacques Feldbau, Topologe : Das Schicksal eines jüdischen Mathematikers (1914  1945) by
Michèle Audin(
)
12 editions published between 2009 and 2013 in German and French and held by 218 WorldCat member libraries worldwide
12 editions published between 2009 and 2013 in German and French and held by 218 WorldCat member libraries worldwide
Nouveaux invariants en géométrie et en topologie by
Michele Audin(
Book
)
12 editions published between 2001 and 2002 in French and English and held by 146 WorldCat member libraries worldwide
12 editions published between 2001 and 2002 in French and English and held by 146 WorldCat member libraries worldwide
Cobordismes d'immersions lagrangiennes et legendriennes by
Michèle Audin(
Book
)
8 editions published in 1987 in French and held by 104 WorldCat member libraries worldwide
8 editions published in 1987 in French and held by 104 WorldCat member libraries worldwide
Correspondance entre Henri Cartan et André Weil (19281991) by
Henri Cartan(
Book
)
4 editions published in 2011 in French and Undetermined and held by 89 WorldCat member libraries worldwide
4 editions published in 2011 in French and Undetermined and held by 89 WorldCat member libraries worldwide
La formule de Stokes, roman by
Michèle Audin(
Book
)
6 editions published between 2015 and 2016 in French and held by 54 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.]
6 editions published between 2015 and 2016 in French and held by 54 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.]
Une vie brève : récit by
Michèle Audin(
Book
)
7 editions published between 2012 and 2015 in French and held by 54 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]
7 editions published between 2012 and 2015 in French and held by 54 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]
Comme une rivière bleue : Paris 1871 : roman by
Michèle Audin(
Book
)
6 editions published in 2017 in French and held by 48 WorldCat member libraries worldwide
6 editions published in 2017 in French and held by 48 WorldCat member libraries worldwide
Mademoiselle Haas : récits by
Michèle Audin(
Book
)
7 editions published between 2015 and 2016 in French and held by 39 WorldCat member libraries worldwide
Nouvelles. Roman historique
7 editions published between 2015 and 2016 in French and held by 39 WorldCat member libraries worldwide
Nouvelles. Roman historique
Fatou, Julia, Montel le grand prix des sciences mathématiques de 1918, et après by
Michèle Audin(
)
3 editions published in 2009 in French and Undetermined and held by 32 WorldCat member libraries worldwide
3 editions published in 2009 in French and Undetermined and held by 32 WorldCat member libraries worldwide
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Académie des sciences (France) Algeria Audin, Maurice, Cartan, Henri, Cell aggregationMathematics Cobordism theory Commune (Paris : 1871) Communists Developmental psychology Differentiable dynamical systems Disappeared persons Fatou, Pierre, Feldbau, Jacques, Fiber spaces (Mathematics) Floer homology France FranceParis Geometry Geometry, Algebraic Global differential geometry Hamiltonian systems Holomorphic functions Immersions (Mathematics) Integral geometry Invariants Iterative methods (Mathematics) Julia, Gaston, Kovalevskai︠a︡, S. V.(Sofʹi︠a︡ Vasilʹevna), Mappings (Mathematics) Mathematicians Mathematics MathematicsAwards Mechanics, Applied Montel, Paul, Morse theory Revolution (Algeria : Russia Russia (Federation) SeibergWitten invariants Stokes' theorem Symplectic and contact topology Symplectic manifolds Topological groups Topology Tops Torture Weil, André, Women mathematicians World War (19141918) World War (19391945)
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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)
ミシェル・オーダン
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