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Product Code:  TRANS2/167 
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Hardcover ISBN:  9780821804285 
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Hardcover ISBN:  9780821804285 
Product Code:  TRANS2/167 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433789 
Product Code:  TRANS2/167.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821804285 
eBook ISBN:  9781470433789 
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 DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 167; 1995; 294 ppMSC: 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.
ReadershipResearchers 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 integrodifferential 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 — PoissonLie 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


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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.
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 integrodifferential 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 — PoissonLie 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