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The Interplay between Differential Geometry and Differential Equations
 
Edited by: V. V. Lychagin All-Union Civil Engineering Institute
The Interplay between Differential Geometry and Differential Equations
Hardcover ISBN:  978-0-8218-0428-5
Product Code:  TRANS2/167
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3378-9
Product Code:  TRANS2/167.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0428-5
eBook: ISBN:  978-1-4704-3378-9
Product Code:  TRANS2/167.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
The Interplay between Differential Geometry and Differential Equations
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The Interplay between Differential Geometry and Differential Equations
Edited by: V. V. Lychagin All-Union Civil Engineering Institute
Hardcover ISBN:  978-0-8218-0428-5
Product Code:  TRANS2/167
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3378-9
Product Code:  TRANS2/167.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-0428-5
eBook ISBN:  978-1-4704-3378-9
Product Code:  TRANS2/167.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1671995; 294 pp
    MSC: Primary 17; 35; 58

    This work applies symplectic methods and discusses quantization problems to emphasize the advantage of an algebraic geometry approach to nonlinear differential equations. One common feature in most of the presentations in this book is the systematic use of the geometry of jet spaces.

    Readership

    Researchers and graduate students interested in nonlinear differential equations, differential geometry, quantum groups, and their applications.

  • Table of Contents
     
     
    • Chapters
    • V. N. Chetverikov and A. G. Kudryavtsev — Modeling integro-differential equations and a method for computing their symmetries and conservation laws
    • J. Donin and D. Gurevich — Braiding of the Lie algebra $sl(2)$
    • B. Enriquez, S. Khoroshkin, A. Radul, A. Rosly and V. Rubtsov — Poisson-Lie aspects of classical $W$-algebras
    • N. G. Khor′kova and A. M. Verbovetsky — On symmetry subalgebras and conservation laws for the $k-\epsilon $ turbulence model and the Navier–Stokes equations
    • P. H. M. Kersten and I. S. Krasil′shchik — Graded Frölicher–Nijenhuis brackets and the theory of recursion operators for super differential equations
    • A. Kushner — Symplectic geometry of mixed type equations
    • V. Lychagin — Homogeneous geometric structures and homogeneous differential equations
    • Agostino Prástaro — Geometry of quantized super PDE’s
    • Alexey V. Samokhin — Symmetries of linear ordinary differential equations
    • N. A. Shananin — Foliations of manifolds and weighting of derivatives
    • Valery E. Shemarulin — Higher symmetry algebra structures and local equivalences of Euler–Darboux equations
    • D. V. Tunitsky — Hyperbolicity and multivalued solutions of Monge–Ampère equations
    • L. Zilbergleit — Singularities of solutions of the Maxwell–Dirac equation
    • L Zilbergleit — Characteristic classes of Monge–Ampère equations
  • 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: 1671995; 294 pp
MSC: Primary 17; 35; 58

This work applies symplectic methods and discusses quantization problems to emphasize the advantage of an algebraic geometry approach to nonlinear differential equations. One common feature in most of the presentations in this book is the systematic use of the geometry of jet spaces.

Readership

Researchers and graduate students interested in nonlinear differential equations, differential geometry, quantum groups, and their applications.

  • Chapters
  • V. N. Chetverikov and A. G. Kudryavtsev — Modeling integro-differential equations and a method for computing their symmetries and conservation laws
  • J. Donin and D. Gurevich — Braiding of the Lie algebra $sl(2)$
  • B. Enriquez, S. Khoroshkin, A. Radul, A. Rosly and V. Rubtsov — Poisson-Lie aspects of classical $W$-algebras
  • N. G. Khor′kova and A. M. Verbovetsky — On symmetry subalgebras and conservation laws for the $k-\epsilon $ turbulence model and the Navier–Stokes equations
  • P. H. M. Kersten and I. S. Krasil′shchik — Graded Frölicher–Nijenhuis brackets and the theory of recursion operators for super differential equations
  • A. Kushner — Symplectic geometry of mixed type equations
  • V. Lychagin — Homogeneous geometric structures and homogeneous differential equations
  • Agostino Prástaro — Geometry of quantized super PDE’s
  • Alexey V. Samokhin — Symmetries of linear ordinary differential equations
  • N. A. Shananin — Foliations of manifolds and weighting of derivatives
  • Valery E. Shemarulin — Higher symmetry algebra structures and local equivalences of Euler–Darboux equations
  • D. V. Tunitsky — Hyperbolicity and multivalued solutions of Monge–Ampère equations
  • L. Zilbergleit — Singularities of solutions of the Maxwell–Dirac equation
  • L Zilbergleit — Characteristic classes of Monge–Ampère equations
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.