Michèle Audin – författare
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29 produkter
29 produkter
Inbunden, Engelska, 2011
429 kr
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E-bok
PDF, Engelska, 2011631 kr
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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 a mathematician and scientist. 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. This fascinating book, which also examines Kovalevskaya’s love of literature, will be of interest to historians looking for a treatment of the mathematics, and those doing feminist or gender studies.
Häftad, Engelska, 2013
1 082 kr
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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 1-periodic trajectories of a non-degenerate 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 infinite-dimensional 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.
E-bok
PDF, Engelska, 20131 255 kr
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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 1-periodic trajectories of a non-degenerate 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 infinite-dimensional 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.
Häftad, Engelska, 2016
450 kr
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E-bok
Engelska, 2016105 kr
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"Audin plays with codes, numbers and dates to create a fascinating and unsettling story."—Le TempsThis debut novel by mathematician and Oulipo member Michèle Audin retraces the lives of French mathematicians over several generations through World Wars I and II. The narrative oscillates stylistically from chapter to chapter—at times a novel, fable, historical research, or a diary—locking and unlocking codes, culminating in a captivating, original reading experience.Michèle Audin is the author of several works of mathematical theory and history and also published a work on her anticolonialist father's torture, disappearance, and execution by the French during the Battle of Algiers.
E-bok
PDF, Franska, 20211 043 kr
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No detailed description available for "Géométrie".
E-bok
PDF, Franska, 20211 457 kr
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E-bok
PDF, Engelska, 20121 136 kr
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This is an extended second edition of "e;The Topology of Torus Actions on Symplectic Manifolds"e; published as Volume 93 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 results, it contains much more material, particularly lots of new examples and exercises.
E-bok
PDF, Engelska, 20121 728 kr
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How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14]. I have hesitated quite a long time before deciding to do the re-writing work-the first edition has been sold out for a few years. There was absolutely no question of just correcting numerous misprints and a few mathematical errors. When I wrote the first edition, in 1989, the convexity and Duistermaat-Heckman theorems together with the irruption of toric varieties on the scene of symplectic geometry, due to Delzant, around which the book was organized, were still rather recent (less than ten years). I myself was rather happy with a small contribution I had made to the subject. I was giving a post-graduate course on all that and, well, these were lecture notes, just lecture notes. By chance, the book turned out to be rather popular: during the years since then, I had the opportunity to meet quite a few people(1) who kindly pretended to have learnt the subject in this book. However, the older book does not satisfy at all the idea I have now of what a good book should be. So that this "new edition" is, indeed, another book.
E-bok
PDF, Engelska, 2012568 kr
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Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) 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 come-back 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).
E-bok
PDF, Engelska, 2012710 kr
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Del 93 - Progress in Mathematics
Torus Actions on Symplectic Manifolds
Häftad, Engelska, 2012
1 404 kr
Skickas inom 10-15 vardagar
How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14]. I have hesitated quite a long time before deciding to do the re-writing work-the first edition has been sold out for a few years. There was absolutely no question of just correcting numerous misprints and a few mathematical errors. When I wrote the first edition, in 1989, the convexity and Duistermaat-Heckman theorems together with the irruption of toric varieties on the scene of symplectic geometry, due to Delzant, around which the book was organized, were still rather recent (less than ten years). I myself was rather happy with a small contribution I had made to the subject. I was giving a post-graduate course on all that and, well, these were lecture notes, just lecture notes. By chance, the book turned out to be rather popular: during the years since then, I had the opportunity to meet quite a few people(1) who kindly pretended to have learnt the subject in this book. However, the older book does not satisfy at all the idea I have now of what a good book should be. So that this "new edition" is, indeed, another book.
Del 117 - Progress in Mathematics
Holomorphic Curves in Symplectic Geometry
Häftad, Engelska, 2012
543 kr
Skickas inom 10-15 vardagar
The school, the book This book is based on lectures given by the authors of the various chapters in a three week long CIMPA summer school, held in Sophia-Antipolis (near Nice) in July 1992. The first week was devoted to the basics of symplectic and Riemannian geometry (Banyaga, Audin, Lafontaine, Gauduchon), the second was the technical one (Pansu, Muller, Duval, Lalonde and Sikorav). The final week saw the conclusion ofthe school (mainly McDuffand Polterovich, with complementary lectures by Lafontaine, Audin and Sikorav). Globally, the chapters here reflect what happened there. Locally, we have tried to reorganise some ofthe material to make the book more coherent. Hence, for instance, the collective (Audin, Lalonde, Polterovich) chapter on Lagrangian submanifolds and the appendices added to some of the chapters. Duval was not able to write up his lectures, so that genuine complex analysis will not appear in the book, although it is a very current tool in symplectic and contact geometry (and conversely). Hamiltonian systems and variational methods were the subject of some of Sikorav's talks, which he also was not able to write up. On the other hand, F.Labourie, who could not be at the school, wrote a chapter on pseudo-holomorphic curves in Riemannian geometry.
Häftad, Engelska, 2002
757 kr
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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 nine-point 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.
Häftad, Franska, 2009
598 kr
Skickas inom 10-15 vardagar
Comment Fatou et Julia ont inventé ce que l’on appelle aujourd’hui les ensembles de Julia, avant, pendant et après la première guerre mondiale? L’histoire est racontée, avec ses mathématiques, ses conflits, ses personnalités. Elle est traitée à partir de sources nouvelles, et avec rigueur. On pourra s’y initier à l’itération des fractions rationnelles et à la dynamique complexe (ensembles de Julia, de Mandelbrot, ensembles-limites). Qui étaient Pierre Fatou, Gaston Julia, Paul Montel? On y trouvera en particulier des informations sur un mathématicien mal connu, Pierre Fatou. On découvrira aussi quelques incidences de la blessure reçue par Julia pendant la guerre sur la vie mathématique en France au vingtième siècle.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 injury of Julia during WWI influence mathematical life in France?
E-bok
PDF, Franska, 2009631 kr
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Comment Fatou et Julia ont inventé ce que l’on appelle aujourd’hui les ensembles de Julia, avant, pendant et après la première guerre mondiale? L’histoire est racontée, avec ses mathématiques, ses conflits, ses personnalités. Elle est traitée à partir de sources nouvelles, et avec rigueur. On pourra s’y initier à l’itération des fractions rationnelles et à la dynamique complexe (ensembles de Julia, de Mandelbrot, ensembles-limites). Qui étaient Pierre Fatou, Gaston Julia, Paul Montel? On y trouvera en particulier des informations sur un mathématicien mal connu, Pierre Fatou. On découvrira aussi quelques incidences de la blessure reçue par Julia pendant la guerre sur la vie mathématique en France au vingtième siècle.
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 injury of Julia during WWI influence mathematical life in France?
Del 2014 - Lecture Notes in Mathematics
Fatou, Julia, Montel
The Great Prize of Mathematical Sciences of 1918, and Beyond
Häftad, Engelska, 2011
543 kr
Skickas inom 10-15 vardagar
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 WW1 injury of Julia influence mathematical life in France? From the reviews of the French version: "Audin’s book is … 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 … [It] 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)
E-bok
PDF, Engelska, 2011710 kr
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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 WW1 injury of Julia influence mathematical life in France? From the reviews of the French version: "Audin’s book is … 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 … [It] 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)
Häftad, Tyska, 2012
359 kr
Skickas inom 10-15 vardagar
Mit seinen Arbeiten über Faserbündel und Homotopiegruppen gehört Jacques Feldbau zu den Wegbereitern der modernen Topologie. Michèle Audin zeichnet seine Geschichte, sein Leben und Werk nach. Als elsässischer Jude in Clermond-Ferrand verhaftet verstarb Feldbau zwei Wochen vor Ende des zweiten Weltkrieges während der Deportation nach Auschwitz.
E-bok
PDF, Tyska, 2012211 kr
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Mit seinen Arbeiten über Faserbündel und Homotopiegruppen gehört Jacques Feldbau zu den Wegbereitern der modernen Topologie. Michèle Audin zeichnet seine Geschichte, sein Leben und Werk nach. Als elsässischer Jude in Clermond-Ferrand verhaftet verstarb Feldbau zwei Wochen vor Ende des zweiten Weltkrieges während der Deportation nach Auschwitz.
E-bok
PDF, Engelska, 2012870 kr
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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 nine-point 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.
Häftad, Engelska, 2003
435 kr
Skickas inom 10-15 vardagar
Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) 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 come-back 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).
Del 93 - Progress in Mathematics
Torus Actions on Symplectic Manifolds
Inbunden, Engelska, 2004
1 404 kr
Skickas inom 10-15 vardagar
How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14]. I have hesitated quite a long time before deciding to do the re-writing work-the first edition has been sold out for a few years. There was absolutely no question of just correcting numerous misprints and a few mathematical errors. When I wrote the first edition, in 1989, the convexity and Duistermaat-Heckman theorems together with the irruption of toric varieties on the scene of symplectic geometry, due to Delzant, around which the book was organized, were still rather recent (less than ten years). I myself was rather happy with a small contribution I had made to the subject. I was giving a post-graduate course on all that and, well, these were lecture notes, just lecture notes. By chance, the book turned out to be rather popular: during the years since then, I had the opportunity to meet quite a few people(1) who kindly pretended to have learnt the subject in this book. However, the older book does not satisfy at all the idea I have now of what a good book should be. So that this "new edition" is, indeed, another book.
Del 117 - Progress in Mathematics
Holomorphic Curves in Symplectic Geometry
Inbunden, Engelska, 1994
543 kr
Skickas inom 10-15 vardagar
The school, the book This book is based on lectures given by the authors of the various chapters in a three week long CIMPA summer school, held in Sophia-Antipolis (near Nice) in July 1992. The first week was devoted to the basics of symplectic and Riemannian geometry (Banyaga, Audin, Lafontaine, Gauduchon), the second was the technical one (Pansu, Muller, Duval, Lalonde and Sikorav). The final week saw the conclusion ofthe school (mainly McDuffand Polterovich, with complementary lectures by Lafontaine, Audin and Sikorav). Globally, the chapters here reflect what happened there. Locally, we have tried to reorganise some ofthe material to make the book more coherent. Hence, for instance, the collective (Audin, Lalonde, Polterovich) chapter on Lagrangian submanifolds and the appendices added to some of the chapters. Duval was not able to write up his lectures, so that genuine complex analysis will not appear in the book, although it is a very current tool in symplectic and contact geometry (and conversely). Hamiltonian systems and variational methods were the subject of some of Sikorav's talks, which he also was not able to write up. On the other hand, F.Labourie, who could not be at the school, wrote a chapter on pseudo-holomorphic curves in Riemannian geometry.
E-bok
Spanska, 2020109 kr
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¿Qué vale una vida? ¿Se cumple su ciclo al morir? ¿Puede una vida común y casi anónima resonar hasta nuestros días, convertirse en el emblema de una época?En junio de 1957, durante la batalla de Argel, el matemático y militante comunista Maurice Audin fue apresado por el Ejército francés, acusado de colaborar con el movimiento de independencia argelino. Tenía veinticinco años. Torturado hasta la muerte, su cuerpo nunca se encontró. En 2014 el Gobierno francés por fin reconoció que su desaparición, un caso que conmocionó a la sociedad francesa durante décadas, no había sido un misterio sin resolver, sino un asesinato de Estado.Pero ni esta muerte ni su implicación política son el tema principal de este libro, sino, en cierto sentido, la historia de las "personas de las que se ha dicho que no tienen historia", los pobres, los olvidados. Michèle Audin reconstruye, con una minuciosa labor de arqueología, la vida de su padre y los orígenes de su familia, pero también los detalles, rastros, objetos y gestos de una clase social, de un tiempo en el que los niños heredaban los nombres de sus hermanos mayores muertos y la profesión de las mujeres trabajadoras no constaba en el registro civil.Con una prosa inconfundible, que aúna la precisión de la matemática y la especulación poética, Audin se coloca en la encrucijada de las nuevas formas literarias, donde documento e imaginación fabuladora sellan un pacto ético. Por eso, Una vida breve es más que un ejercicio de "literatura de los hijos". Cumple un deseo esencial de la gran literatura: narrar esas vidas concretas que, a veces involuntariamente, tienen la capacidad de condensar la Historia."Michèle Audin es, sin duda alguna, una intelectual de alto nivel. Es también madre, historiadora, una gran archivista, una bulímica de la lectura y, last but no least, la hija para siempre de Maurice y Josette Audin." Catherine Simon, Le Monde Livres"El hecho de descartar la hagiografía convierte a este libro en un ejercicio sobresaliente. Michèle Audin persigue la figura de su padre en todo aquello que desconoce de él, en todo aquello que le habría gustado saber de él y que se disipó un día de 1957." Léon-Marc Levy, La cause littéraire"Las matemáticas se traslucen en el método, el estilo, la palpable pasión de Michèle Audin por esta disciplina. Nada sobra: lo que aquí tenemos es el riguroso boceto de una constatación, el exigente razonamiento de una mente que sólo se siente satisfecha con los hechos probados. La sencilla y manifiesta poesía de las matemáticas recorre sin cesar estas páginas." Léon-Marc Levy, La cause littéraire
E-bok
Spanska, 2023144 kr
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Michèle Audin construye en La señorita Haas una hermosa y potente novela coral con las vidas de trece mujeres, anónimas aunque con un mismo apellido, Haas, y un mismo espacio-tiempo: la Francia que, entre 1934 y 1941, se adentra en la radicalización y el ascenso del fascismo, la Segunda Guerra Mundial y la deportación de judíos a los campos de exterminio. Como ya hiciera en su magistral Una vida breve (Periférica, 2020), Audin se sirve de la memoria y de la crónica veraz combinándolas con una poderosa inventiva formal. Fiel a la experimentación del grupo OuLiPo (el Taller de Literatura Potencial, al que pertenecieron autores como Georges Perec o Raymond Queneau, y del que ella misma es miembro), cada capítulo elige una perspectiva narrativa diferente y se convierte en una lección de estilo. El resultado, La señorita Haas, es la novela verdadera de aquellas mujeres comunes, trabajadoras jóvenes que no tuvieron a quien quisiera relatar sus vidas: sus gestos mínimos y su orgullo, el acoso que padecen, sus situaciones familiares, el embrutecimiento laboral, sus sueños y expectativas. En definitiva, su tragedia silenciosa.
Häftad, Engelska, 2016
179 kr
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Longlisted for the 2017 PEN Translation Prize One of Publishers Weekly's Best Books of 2016 "...rich, tragic, yet playful novel..." -- Nancy Kline, New York Times Book Review "Formally dazzling, playful and affecting, a new Oulipian classic." -- Lauren Elkin, author of Flaneuse and The End of Oulipo? This debut novel by mathematician and Oulipo member Michele Audin retraces the lives of French mathematicians over several generations through World Wars I and II. The narrative oscillates stylistically from chapter to chapter--at times a novel, fable, historical research, or a diary--locking and unlocking codes, culminating in a captivating, original reading experience. Michele Audin is the author of several works of mathematical theory and history and also published a work on her anticolonialist father's torture, disappearance, and execution by the French during the Battle of Algiers.
Häftad, Spanska, 2021
216 kr
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