Canonical Transformation Theory and Generalizations

  • Georgio Eugenio Oscare Giacaglia
Part of the Applied Mathematical Sciences book series (AMS, volume 8)


In this chapter we deal with the terminology and basic well known results, which are necessary to the development of the subsequent chapters. It is not the scope of this chapter to describe Hamiltonian Systems and their general properties. They are found in several books and monographs, among which we wish to mention the classics of Birkhoff (1927), Siegel (1956), Wintner (1947), Abraham (1966), Moser (1968). We avoid any and every sophistication in arriving at intrinsic representations and definitions of Hamiltonian systems on manifolds, not because they are not important, but because they are of no essential necessity in what has to follow.


Hamiltonian System Canonical Transformation Celestial Mechanics Real Analytic Function Periodic Surface 
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Copyright information

© Springer-Verlag New York Inc. 1972

Authors and Affiliations

  • Georgio Eugenio Oscare Giacaglia
    • 1
    • 2
  1. 1.University of Sao PauloBrazil
  2. 2.University of Texas at AustinUSA

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