Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
KP or mKP: Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems
 
Boris A. Kupershmidt :  University of Tennessee Space Institute, Tullahoma, TN
KP or mKP
Hardcover ISBN:  978-0-8218-1400-0
Product Code:  SURV/78
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1305-7
Product Code:  SURV/78.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-1400-0
eBook: ISBN:  978-1-4704-1305-7
Product Code:  SURV/78.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Add to cart
KP or mKP
Click above image for expanded view
KP or mKP: Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems
Boris A. Kupershmidt :  University of Tennessee Space Institute, Tullahoma, TN
Hardcover ISBN:  978-0-8218-1400-0
Product Code:  SURV/78
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1305-7
Product Code:  SURV/78.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-1400-0
eBook ISBN:  978-1-4704-1305-7
Product Code:  SURV/78.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Add to cart
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 78; 2000; 600 pp
    MSC: Primary 37; 46; Secondary 35; 49; 58

    This book develops a theory that can be viewed as a noncommutative counterpart of the following topics: dynamical systems in general and integrable systems in particular; Hamiltonian formalism; variational calculus, both in continuous space and discrete. The text is self-contained and includes a large number of exercises. Many different specific models are analyzed extensively and motivations for the new notions are provided.
    Readership

    Graduate students, research mathematicians, and physicists interested in global analysis and analysis on manifolds.
  • Table of Contents
     
     
    • Chapters
    • 1. The KP hierarchy
    • 2. The MKP hierarchy
    • 3. Between KP and MKP
    • 4. Noncommutative Lagrangian formalism
    • 5. Noncommutative Hamiltonian formalism
    • 6. MKP = M+KP
    • 7. The quasirelativistic KP hierarchy
    • 8. The second construction of integrals of the KP hierarchy
    • 9. KP, then MKP
    • 10. The noncommutative differential-difference calculus
    • 11. The noncommutative Hamiltonian formalism over differential-difference rings
    • 12. Hamiltonian formalism for discrete integrable systems of KP and MKP types
    • 13. The Gibbons forms
    • 14. The hydrodynamical representation
    • 15. Relativistic toda lattice and related systems
    • 16. The idea of Lax representations and its discrete-time analog
    • 17. Systems of the KP type
    • 18. Systems of the MKP type
    • 19. The toda lattice, the relativistic toda lattice, and related systems
  • Reviews
     
     

    • This remarkable book ... is written so as to be completely self-contained with most arguments presented in great detail ... a remarkable account of a substantial body of work ... likely to remain a significant work of reference as the field continues to develop.
      Mathematical Reviews
  • 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
Mathematical Surveys and Monographs
Volume: 78; 2000; 600 pp
MSC: Primary 37; 46; Secondary 35; 49; 58

This book develops a theory that can be viewed as a noncommutative counterpart of the following topics: dynamical systems in general and integrable systems in particular; Hamiltonian formalism; variational calculus, both in continuous space and discrete. The text is self-contained and includes a large number of exercises. Many different specific models are analyzed extensively and motivations for the new notions are provided.
Readership

Graduate students, research mathematicians, and physicists interested in global analysis and analysis on manifolds.
  • Chapters
  • 1. The KP hierarchy
  • 2. The MKP hierarchy
  • 3. Between KP and MKP
  • 4. Noncommutative Lagrangian formalism
  • 5. Noncommutative Hamiltonian formalism
  • 6. MKP = M+KP
  • 7. The quasirelativistic KP hierarchy
  • 8. The second construction of integrals of the KP hierarchy
  • 9. KP, then MKP
  • 10. The noncommutative differential-difference calculus
  • 11. The noncommutative Hamiltonian formalism over differential-difference rings
  • 12. Hamiltonian formalism for discrete integrable systems of KP and MKP types
  • 13. The Gibbons forms
  • 14. The hydrodynamical representation
  • 15. Relativistic toda lattice and related systems
  • 16. The idea of Lax representations and its discrete-time analog
  • 17. Systems of the KP type
  • 18. Systems of the MKP type
  • 19. The toda lattice, the relativistic toda lattice, and related systems

  • This remarkable book ... is written so as to be completely self-contained with most arguments presented in great detail ... a remarkable account of a substantial body of work ... likely to remain a significant work of reference as the field continues to develop.
    Mathematical Reviews
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
Powered by MathJax
Please select which format for which you are requesting permissions.