Hamiltonian systems began as a mathematical approach to the study of mechanical systems. As the theory developed, it became clear that the systems that had a sufficient number of conserved quantities enjoyed certain remarkable properties. These are the completely integrable systems. In time, a rich interplay arose between integrable systems and other areas of mathematics, particularly topology, geometry, and group theory. This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques include analytical methods coming from the Galois theory of differential equations, as well as more classical algebro-geometric methods related to Lax equations. Audin has included many examples and exercises. Most of the exercises build on the material in the text. None of the important proofs have been relegated to the exercises. Many of the examples are classical, rather than abstract. This book would be suitable for a graduate course in Hamiltonian systems.

Hamiltonian Systems and Their Integrability (Smf/Ams Texts and Monographs, 15)

Science & Math

AUDIN, Michèle

Mathematics

Amer Mathematical Society

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.

Remembering Sofya Kovalevskaya

Politics & Social Sciences

Social Sciences

Springer

Based on a graduate course, this introduction to modern methods of symplectic topology explains the solution of an important problem originating from classical mechanics: the 'Arnold conjecture'. Presents building blocks of Floer homology and more.

Morse Theory and Floer Homology (Universitext)

Damian, Mihai

This is a personal exploration of the life, the writings and the mathematical achievements of a remarkable 19th century woman; the book emphasizes the originality of Kovalevskaya’s work and assesses her legacy and reputation as a mathematician and scientist.

Health, Fitness & Dieting

Psychology & Counseling

Longlisted for the 2017 PEN Translation Prize
One of Publishers Weekly's Best Books of 2016
One of Words Without Borders' Picks for "Favorite International Reads 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 Flâneuse and The End of Oulipo? 
This 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.

One Hundred Twenty-One Days

Literature & Fiction

Literary

Deep Vellum Publishing

Dans ce livre, il y a des hommes et des guerres. Il y a aussi des femmes, qui essaient de ne pas subir. Il y a une recherche, des documents d'archives, des lettres, des photographies, des journaux intimes, des nombres, des témoignages, et les notes de l'historien qui mène cette recherche. Il y a la grande histoire et l'histoire intime, l'amour, la guerre, les crimes, l'enfer, la mort. Il y a des Allemands, des étudiants, un fou, une "gueule cassée", des historiens, une infirmière, une jeune fille déterminée, des mathématiciens, des médecins. Il y a le XXe siècle, de l'Afrique coloniale au Paris de 1945 en passant par les champs de bataille de la GrandeGuerre, un asile psychiatrique, Strasbourg en 1939 et Clermont-Ferrand, Paris occupé et une petite ville d'Allemagne. Il y a la littérature, puisque l'historien décide, finalement, d'écrire un roman. Celui-ci ?

Cent vingt et un jours

Gallimard]

LETTRES A SHAKESPEARE

CIXOUS, Hélène

BONNEFOY, Yves

Le Dœuff, Michèle

OST, François

DUPONT, Florence

MANGUEL, ALBERTO

JOUET, Jacques

ENTHOVEN, Raphaël

ELLRODT, Robert

GOY-BLANQUET, Dominique

EDWARDS, Michael

DARRAS, Jacques

BERGOUGNIOUX, Pierre

DI NOTA, David

PACHET, Pierre

Essays & Correspondence

MARCHAISSE

La maison hantée

Genre Fiction

MINUIT

La formule de Stokes, roman + F103 : F104

CASSINI

Géométrie (L3M1)

EDP Sciences

See the best price to sell, buy, or rent books by AUDIN, Michèle. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by AUDIN, Michèle