Calculus of variations and partial differential equations of the first order
Author(s)
Bibliographic Information
Calculus of variations and partial differential equations of the first order
AMS Chelsea Pub., c1989
3rd ed
- Other Title
-
Variationsrechnung und partielle Differentialgleichungen erster Ordnung
Calculus of variations
Available at 11 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"Originally published as Variationsrechnung und partielle Differentialgleichungen erster Ordnung, by B.G.Teubner, Berlin, 1935"--t.p.verso
Bibliography: p. 381-395
Includes index
Description and Table of Contents
Description
In this second English edition of Caratheodory's famous work (originally published in German), the two volumes of the first edition have been combined into one (with a combination of the two indexes into a single index). There is a deep and fundamental relationship between the differential equations that occur in the Calculus of Variations and partial differential equations of the first order: in particular, to each such partial differential equation there correspond variational problems. This basic fact forms the rationale for Caratheodory's masterpiece. Includes a Guide to the Literature and an Index.
Table of Contents
Continuous convergence, implicit functions, ordinary differential equations Fields of curves and multidimensional surfaces, complete systems Partial differential equations of the first order, theory of characteristics Poisson brackets, systems of partial differential equations of the first order Elements of tensor calculus Canonical transformations Contact transformations The Pfaff problem Function groups The integration theories of Lagrange, Jacobi, Adolph Mayer and Lie Ordinary maxima and minima. Quadratic forms Simple variational problems in the small Variational problems in parametric representation Positive-definite variational problems Quadratic variational problems. Theory of the second variation The boundary-value problem and the question of the absolute minimum Closed extremals. Periodic variational problems The problem of Lagrange Guide to the literature Index.
by "Nielsen BookData"