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1.

図書

図書
Cornelius Lanczos
出版情報: London : Elek, 1974  xiv, 230 p. ; 23 cm
シリーズ名: Histories of science series
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2.

図書

図書
by Cornelius Lanczos
出版情報: Toronto : University of Toronto Press, c1966  xxv, 375 p. ; 23 cm
シリーズ名: Mathematical expositions ; no. 4
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3.

図書

図書
C.ランツォス著 ; 米田桂三訳
出版情報: 東京 : 講談社, 1975.6  241p ; 18cm
シリーズ名: ブルーバックス ; B-269
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4.

図書

図書
[by] Cornelius Lanczos
出版情報: New York : Interscience Publishers, c1965  vi, 139 p ; 22 cm
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5.

図書

図書
by Cornelius Lanczos
出版情報: Toronto : University of Toronto Press, c1962  xxv, 367 p. ; 23 cm
シリーズ名: Mathematical expositions ; no. 4
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6.

図書

図書
by Cornelius Lanczos
出版情報: London : D. Van Nostrand, c1961  xvi, 564 p. ; 24 cm
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7.

図書

図書
Cornelius Lanczos
出版情報: Toronto : University of Toronto Press, c1970  xxix, 418 p. ; 23 cm
シリーズ名: Mathematical expositions ; no. 4
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8.

図書

図書
by Cornelius Lanczos
出版情報: Toronto : University of Toronto Press, c1949  xxv, 307 p. ; 22 cm
シリーズ名: Mathematical expositions ; no. 4
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9.

図書

図書
edited by B. K. P. Scaife
出版情報: London ; New York : published for the Royal Irish Academy by Academic Press, [1974]  xxii, 333 p. ; 24 cm
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10.

図書

図書
by Cornelius Lanczos
出版情報: New York : Dover Publications, 1986, c1970  xxix, 418 p. ; 22 cm
シリーズ名: Dover books on physics and chemistry
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目次情報: 続きを見る
  Introduction
The variational approach to mechanics / 1:
The procedure of Euler and Lagrange / 2:
Hamilton's procedure / 3:
The calculus of variations / 4:
Comparison between the vectorial and the variational treatments of mechanics / 5:
Mathematical evaluation of the variational principles / 6:
Philosophical evaluation of the variational approach to mechanics / 7:
The Basic Concepts of Analytical Mechanics / I:
The Principal viewpoints of analytical mechanics
Generalized coordinates
The configuration space
Mapping of the space on itself
Kinetic energy and Riemannian geometry
Holonomic and non-holonomic mechanical systems
Work function and generalized force
Scleronomic and rheonomic systems / 8:
The law of the conservation of energy
The Calculus of Variations / II:
The general nature of extremum problems
The stationary value of a function
The second variation
Stationary value versus extremum value
Auxiliary conditions
The Lagrangian lambda-method
Non-holonomic auxiliary conditions
The stationary value of a definite integral
The fundamental processes of the calculus of variations
The commutative properties of the delta-process / 9:
The stationary value of a definite integral treated by the calculus of variations / 10:
The Euler-Lagrange differential equations for n degrees of freedom / 11:
Variation with auxiliary conditions / 12:
Non-holonomic conditions / 13:
Isoperimetric conditions / 14:
The calculus of variations and boundary conditions / 15:
The problem of the elastic bar
The principle of virtual work / III:
The principle of virtual work for reversible displacements
The equilibrium of a rigid body
Equivalence of two systems of forces
Equilibrium problems with auxiliary conditions
Physical interpretation of the Lagrangian multiplier method
Fourier's inequality
D'Alembert's principle / IV:
The force of inertia
The place of d'Alembert's principle in mechanics
The conservation of energy as a consequence of d'Alembert's principle
Apparent forces in an accelerated reference system
Einstein's equivalence hypothesis
Apparent forces in a rotating reference system
Dynamics of a rigid body
The motion of the centre of mass
Euler's equations
Gauss' principle of least restraint
The Lagrangian equations of motion / V:
Hamilton's principle
The Lagrangian equations of motion and their invariance relative to point transformations
The energy theorem as a consequence of Hamilton's principle
Kinosthenic or ignorable variables and their elimination
The forceless mechanics of Hertz
The time as kinosthenic variable; Jacobi's principle; the principle of least action
Jacobi's principle and Riemannian geometry
Auxiliary conditions; the physical significance of the Lagrangian lambda-factor
Non-holonomic auxiliary conditions and polygenic forces
Small vibrations about a state of equilibrium
The Canonical Equations of motion / VI:
Legendre's dual transformation
Legendre's transformation applied to the Lagrangian function
Transformation of the Lagrangian equations of motion
The canonical integral
The phase space and the space fluid
The energy theorem as a consequence of the canonical equations
Liouville's theorem
Integral invariants, Helmholtz' circulation theorem
The elimination of ignorable variables
The parametric form of the
  Introduction
The variational approach to mechanics / 1:
The procedure of Euler and Lagrange / 2:
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