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Structure des systèmes dynamiques
  • Language: en
  • Pages: 414

Structure des systèmes dynamiques

  • Type: Book
  • -
  • Published: 1970
  • -
  • Publisher: Unknown

None

Structure of Dynamical Systems (Structure Des Systemes Dynamiques)
  • Language: en
  • Pages: 406
Structure of Dynamical Systems
  • Language: en
  • Pages: 406

Structure of Dynamical Systems

  • Type: Book
  • -
  • Published: 1997-01-01
  • -
  • Publisher: Unknown

This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization. The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics.

Symplectic Geometry and Mathematical Physics
  • Language: en
  • Pages: 478
Differential Geometrical Theory of Statistics
  • Language: en
  • Pages: 472

Differential Geometrical Theory of Statistics

  • Type: Book
  • -
  • Published: 2018-04-06
  • -
  • Publisher: MDPI

This book is a printed edition of the Special Issue "Differential Geometrical Theory of Statistics" that was published in Entropy

Structure des systèmes dynamiques
  • Language: fr
  • Pages: 414

Structure des systèmes dynamiques

  • Type: Book
  • -
  • Published: 1970
  • -
  • Publisher: Unknown

None

Diffeology
  • Language: en
  • Pages: 439

Diffeology

Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, co-products, subsets, limits, and co-limits. With its right balance between rigor and simplicity, diffeology can be a good framework for many problems that appear in various areas of physics. Actually, the book lays the foundations of the main fields of differential geometry used in theoretical physics: differentiability, Cartan differential calculus, homology and cohomology, diffeological groups, fiber bundles, and connections. The book ends with an open program on symplectic diffeology, a rich field of application of the theory. Many exercises with solutions make this book appropriate for learning the subject.

Calcul linéaire
  • Language: en
  • Pages: 523

Calcul linéaire

  • Type: Book
  • -
  • Published: 1964
  • -
  • Publisher: Unknown

None

Sur la variete de Kepler
  • Language: en
Structure of Dynamical Systems
  • Language: en
  • Pages: 406

Structure of Dynamical Systems

The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.