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Geometry of Differential Equations
 
Edited by: A. Khovanskiĭ Russian Academy of Sciences, Moscow, Russia
A. Varchenko University of North Carolina, Chapel Hill, Chapel Hill, NC
V. Vassiliev , Moscow, Russia
Geometry of Differential Equations
eBook ISBN:  978-1-4704-3397-0
Product Code:  TRANS2/186.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Geometry of Differential Equations
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Geometry of Differential Equations
Edited by: A. Khovanskiĭ Russian Academy of Sciences, Moscow, Russia
A. Varchenko University of North Carolina, Chapel Hill, Chapel Hill, NC
V. Vassiliev , Moscow, Russia
eBook ISBN:  978-1-4704-3397-0
Product Code:  TRANS2/186.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1861998; 194 pp
    MSC: Primary 58; Secondary 14; 32; 70

    This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics.

    Readership

    Graduate students and research mathematicians working in differential equations and geometry.

  • Table of Contents
     
     
    • Chapters
    • Hernán Cendra, Darryl D. Holm, Jerrold E. Marsden and Tudor S. Ratiu — Lagrangian reduction, the Euler-Poincaré equations, and semidirect products
    • Yasha Eliashberg and Misha Gromov — Lagrangian intersection theory: Finite-dimensional approach
    • Andrei Gabrielov and Askold Khovanskii — Multiplicity of a Noetherian intersection
    • Yu. I. Manin — Sixth Painlevé equation, universal elliptic curve, and mirror of ${\mathbf P}^2$
    • Ya. G. Sinai — Convex hulls of random processes
    • Oleg Viro — Mutual position of hypersurfaces in projective space
    • Alan Weinstein and Ping Xu — Hochschild cohomology and characteristic classes for star-products
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 1861998; 194 pp
MSC: Primary 58; Secondary 14; 32; 70

This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics.

Readership

Graduate students and research mathematicians working in differential equations and geometry.

  • Chapters
  • Hernán Cendra, Darryl D. Holm, Jerrold E. Marsden and Tudor S. Ratiu — Lagrangian reduction, the Euler-Poincaré equations, and semidirect products
  • Yasha Eliashberg and Misha Gromov — Lagrangian intersection theory: Finite-dimensional approach
  • Andrei Gabrielov and Askold Khovanskii — Multiplicity of a Noetherian intersection
  • Yu. I. Manin — Sixth Painlevé equation, universal elliptic curve, and mirror of ${\mathbf P}^2$
  • Ya. G. Sinai — Convex hulls of random processes
  • Oleg Viro — Mutual position of hypersurfaces in projective space
  • Alan Weinstein and Ping Xu — Hochschild cohomology and characteristic classes for star-products
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.