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Typical Singularities of Differential 1-Forms and Pfaffian Equations
 
Typical Singularities of Differential 1-Forms and Pfaffian Equations
Hardcover ISBN:  978-0-8218-4567-7
Product Code:  MMONO/113
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4524-9
Product Code:  MMONO/113.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4567-7
eBook: ISBN:  978-1-4704-4524-9
Product Code:  MMONO/113.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Typical Singularities of Differential 1-Forms and Pfaffian Equations
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Typical Singularities of Differential 1-Forms and Pfaffian Equations
Hardcover ISBN:  978-0-8218-4567-7
Product Code:  MMONO/113
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4524-9
Product Code:  MMONO/113.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4567-7
eBook ISBN:  978-1-4704-4524-9
Product Code:  MMONO/113.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1131992; 176 pp
    MSC: Primary 58; Secondary 35; 53; 93;

    Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskiĭ presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Chapters
    • Chapter I. Main results
    • Chapter II. Basic notions, definitions, notation, and constructions
    • Chapter III. Classification of germs of differential forms
    • Chapter IV. Classification of germs of odd-dimensional Pfaffian equations
    • Chapter V. Classification of germs of even-dimensional Pfaffian equations
  • Reviews
     
     
    • This monograph may be considered the most complete and probably the definitive one on the subject.

      Mathematical Reviews
    • The material is well written with complete proofs and a lot of suggestive examples ... will be useful to all mathematicians and physicists who work on this fascinating topic.

      Zentralblatt MATH
  • 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
Volume: 1131992; 176 pp
MSC: Primary 58; Secondary 35; 53; 93;

Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskiĭ presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction.

Readership

Research mathematicians.

  • Chapters
  • Chapter I. Main results
  • Chapter II. Basic notions, definitions, notation, and constructions
  • Chapter III. Classification of germs of differential forms
  • Chapter IV. Classification of germs of odd-dimensional Pfaffian equations
  • Chapter V. Classification of germs of even-dimensional Pfaffian equations
  • This monograph may be considered the most complete and probably the definitive one on the subject.

    Mathematical Reviews
  • The material is well written with complete proofs and a lot of suggestive examples ... will be useful to all mathematicians and physicists who work on this fascinating topic.

    Zentralblatt MATH
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.