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1.

図書
図書
1. The theory of optical instruments
by E.T. Whittaker
出版情報: Cambridge : University Press, 1907  viii, 72 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics ; no. 7
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2.

図書
図書
2. A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions : with an account of the principal transcendental functions. 3rd ed
by E.T. Whittaker and G.N. Watson
出版情報: Cambridge : Cambridge University Press, 1920  608 p. ; 27 cm
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3.

図書
図書
3. A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies. 4th ed
by E.T. Whittaker
出版情報: London : Cambridge University Press, 1937  xiv, 456 p. ; 27 cm
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4.

図書
図書
4. Analytische Dynamik der Punkte und starren Körper : mit einer Einführung in das Dreikörperproblem und mit zahlreichen Übungsaufgaben (: hardcover ; : pbk)
von E.T. Whittaker ; nach der zweiten Auflage übersetzt von F. und K. Mittelsten Scheid
出版情報: Berlin : Springer, 1924  xiii, 462 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 17
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5.

図書
図書
5. A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies. 4th ed
by E.T. Whittaker
出版情報: [S.l.] : [s.n.], [1937?]  xiv, 456 p ; 25 cm
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6.

図書
図書
6. The calculus of observations : a treatise on numerical mathematics
by E. T. Whittaker and G. Robinson
出版情報: London : Blackie, 1924  xvi, 395 p. ; 23 cm
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7.

図書
図書
7. The calculus of observations : a treatise on numerical mathematics. 2nd ed
by E.T. Whittaker and G. Robinson
出版情報: London : Blackie, 1926  xvi, 395 p., [4] folded leaves ; 23 cm
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8.

図書
図書
8. A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions : with an account of the principal transcendental functions. 4th ed (: pbk ; : hard)
by E.T. Whittaker and G.N. Watson
出版情報: Cambridge : Cambridge University Press, 1927  608 p. ; 24 cm
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9.

図書
図書
9. A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions : with an account of the principal transcendental functions. 4th ed
by E.T. Whittaker and G.N. Watson
出版情報: Cambridge : Cambridge University Press, 1927  608 p. ; 26 cm
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10.

図書
図書
10. 解析力学 (上 ; 下)
E.T.ホイッテーカー著 ; 多田政忠, 薮下信訳
出版情報: 東京 : 講談社, 1977.9-1979.11  2冊 ; 22cm
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11.

図書
図書
11. モダンアナリシス : 無限の取扱いと解析函数への入門 : 主要な超越函数の解説
E.T.Whittaker, G.N.Watson著 ; 佐藤常三, 州之内治男共訳
出版情報: 東京 : 宇野書店, 1967  冊 ; 21cm
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12.

図書
図書
12. エーテルと電気の歴史 (上 ; 下)
E.T.ホイッテーカー[著] ; 霜田光一, 近藤都登訳
出版情報: 東京 : 講談社, 1976.7-11  2冊 ; 22cm
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13.

図書
図書
13. 解析学の方法
E. T. Whittaker, G. N. Watson著 ; 佐藤常三, 州之内治男共訳
出版情報: 東京 : 宇野書店, 1967.5  4, 5, 348p ; 21cm
シリーズ名: モダンアナリシス : 無限の取扱いと解析函数への入門 : 主要な超越函数の解説 / E.T.Whittaker, G.N.Watson著 ; 佐藤常三, 州之内治男共訳 ; 1
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14.

図書
図書
14. 数学とはどんな学問か
遠山啓, 小沢健一訳
出版情報: 東京 : 講談社, 1970.12  231p ; 21cm
シリーズ名: 現代数学の世界 / サイエンティフィック・アメリカン編 ; 遠山啓監訳 ; 3
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目次情報: 続きを見る
数学をめぐる世界 / エドマンド・ホイッテーカー [著] ; 遠山啓訳
数学の革新 / ポール・R・ハーモス [著] ; 遠山啓訳
数学的創造 / アンリ・ポアンカレ [著] ; 遠山啓訳
数学の基礎 / W・V・クワイン [著] ; 小沢健一訳
パラドックス / W・V・クワイン [著] ; 小沢健一訳
記号論理の魔術 / ジョン・F・パイファー [著] ; 小沢健一訳
非カントール集合論 / ポール・J・コーエン, ルーベン・ハーシュ [著] ; 小沢健一訳
ゲーデルの証明 / アーネスト・ネーゲル, J・R・ニューマン [著] ; 小沢健一訳
真と証明 / アルフレッド・タルスキー [著] ; 小沢健一訳
数学をめぐる世界 / エドマンド・ホイッテーカー [著] ; 遠山啓訳
数学の革新 / ポール・R・ハーモス [著] ; 遠山啓訳
数学的創造 / アンリ・ポアンカレ [著] ; 遠山啓訳
15.

図書
図書
15. 数学者の世界
銀林浩訳
出版情報: 東京 : 講談社, 1970.12  240p ; 21cm
シリーズ名: 現代数学の世界 / サイエンティフィック・アメリカン編 ; 遠山啓監訳 ; 4
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目次情報: 続きを見る
デカルト / A.C.クロンビー [執筆]
ニュートン / I.バーナード・コーエン [執筆]
ライプニッツ / フレデリック・C.クレリング [執筆]
ラプラース / ジェイムズ・R.ニューマン [執筆]
バベジ / フィリップ・モリソン, エミリー・モリソン [執筆]
ハミルトン / エドムンド・ホイッテイカー [執筆]
マックスウェル / ジェイムズ・R.ニューマン [執筆]
キャロル / ウォーレン・ウィーバー [執筆]
クリフォード / ジェイムズ・R.ニューマン [執筆]
ラマヌジャン / ジェイムズ・R.ニューマン [執筆]
ブルバキ / ポール・R.ハルモス [執筆]
デカルト / A.C.クロンビー [執筆]
ニュートン / I.バーナード・コーエン [執筆]
ライプニッツ / フレデリック・C.クレリング [執筆]
16.

図書
図書
16. A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies. 4th ed
By E.T. Whittaker ; with a foreword by Sir William McCrea
出版情報: Cambridge : Cambridge University Press, 1988  xvii, 456 p. ; 23 cm
シリーズ名: Cambridge mathematical library
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目次情報: 続きを見る
Foreword / Sir William McCrea, FRS
Preface to the fourth edition
Kinematical Preliminaries / Chapter I：
The displacements of rigid bodies / 1.：
Euler's theorem on rotations about a point / 2.：
The theorem of Rodrigues and Hamilton / 3.：
The composition of equal and opposite rotations about parallel axes / 4.：
Chasles' theorem on the most general displacement of a rigid body / 5.：
Halphen's theorem on the composition of two general displacements / 6.：
Analytic representation of a displacement / 7.：
The composition of small rotations / 8.：
Euler's parametric specification of rotations round a point / 9.：
The Eulerian angles / 10.：
Connexion of the Eulerian angles with the parameters [small xi], [small eta], [small zeta], [small chi] / 11.：
The connexion of rotations with homographies: the Cayley-Klein parameters / 12.：
Vectors / 13.：
Velocity and acceleration; their vectorial character / 14.：
Angular velocity; its vectorial character / 15.：
Determination of the components of angular velocity of a system in terms of the Eulerian angles, and of the symmetrical parameters / 16.：
Time-flux of a vector whose components relative to moving axes are given / 17.：
Special resolutions of the velocity and acceleration / 18.：
Miscellaneous Examples
The Equations of Motion / Chapter II：
The ideas of rest and motion / 19.：
The laws which determine motion / 20.：
Force / 21.：
Work / 22.：
Forces which do no work / 23.：
The coordinates of a dynamical system / 24.：
Holonomic and non-holonomic systems / 25.：
Lagrange's form of the equations of motion of a holonomic system / 26.：
Conservative forces; the kinetic potential / 27.：
The explicit form of Lagrange's equations / 28.：
Motion of a system which is constrained to rotate uniformly round an axis / 29.：
The Lagrangian equations for quasi-coordinates / 30.：
Forces derivable from a potential-function which involves the velocities / 31.：
Initial motions / 32.：
Similarity in dynamical systems / 33.：
Motion with reversed forces / 34.：
Impulsive motion / 35.：
The Lagrangian equations of impulsive motion / 36.：
Principles Available for the Integration / Chapter III：
Problems which are soluble by quadratures / 37.：
Systems with ignorable coordinates / 38.：
Special cases of ignoration; integrals of momentum and angular momentum / 39.：
The general theorem of angular momentum / 40.：
The energy equation / 41.：
Reduction of a dynamical problem to a problem with fewer degrees of freedom, by means of the energy equation / 42.：
Separation of the variables; dynamical systems of Lionville's type / 43.：
The Soluble Problems of Particle Dynamics / Chapter IV：
The particle with one degree of freedom; the pendulum / 44.：
Motion in a moving tube / 45.：
Motion of two interacting free particles / 46.：
Central forces in general: Hamilton's theorem / 47.：
The integrable cases of central forces; problems soluble in terms of circular and elliptic functions / 48.：
Motion under the Newtonian law / 49.：
The mutual transformation of fields of central force and fields of parallel force / 50.：
Bonnet's theorem / 51.：
Determination of the most general field of force under which a given curve or family of curves can be described / 52.：
The problem of two centres of gravitation / 53.：
Motion on a surface / 54.：
Motion on a surface of revolution; cases soluble in terms of circular and elliptic functions / 55.：
Joukovsky's theorem / 56.：
The Dynamical Specification of Bodies / Chapter V：
Definitions / 57.：
The moments of inertia of some simple bodies / 58.：
Derivation of the moment of inertia about any axis when the moment of inertia about a parallel axis through the centre of gravity is known / 59.：
Connexion between moments of inertia with respect to different sets of axes through the same origin / 60：
The principal axes of inertia; Cauchy's momental ellipsoid / 61.：
Calculation of the angular momentum of a moving rigid body / 62.：
Calculation of the kinetic energy of a moving rigid body / 63.：
Independence of the motion of the centre of gravity and the motion relative to it / 64.：
The Soluble Problems of Rigid Dynamics / Chapter VI：
The motion of systems with one degree of freedom; motion round a fixed axis, etc. / 65.：
The motion of systems with two degrees of freedom / 66.：
The motion of systems with three degrees of freedom / 67.：
Motion of a body about a fixed point under no forces / 69.：
Poinsot's kinematical representation of the motion; the polhode and herpolhode / 70.：
Motion of a top on a perfectly rough plane; determination of the Eulerian angle [straight thetas] / 71.：
Determination of the remaining Eulerian angles, and of the Cayley-Klein parameters; the spherical top / 72.：
Motion of a top on a perfectly smooth plane / 73.：
Kowalevski's top / 74.：
Theory of Vibrations / 75.：
Vibrations about equilibrium / 76.：
Normal coordinates / 77.：
Sylvester's theorem on the reality of the roots of the determinantal equation / 78.：
Solution of the differential equations; the periods; stability / 79.：
Examples of vibrations about equilibrium / 80.：
Effect of a new constraint on the periods of a vibrating system / 81.：
The stationary character of normal vibrations / 82.：
Vibrations about steady motion / 83.：
The integration of the equations / 84.：
Examples of vibrations about steady motion / 85.：
Vibrations of systems involving moving constraints / 86.：
Non-Holonomic Systems. Dissipative Systems / Chapter VIII：
Lagrange's equations with undetermined multipliers / 87.：
Equations of motion referred to axes moving in any manner / 88.：
Application to special non-holonomic problems / 89.：
Vibrations of non-holonomic systems / 90.：
Dissipative systems; frictional forces / 91.：
Resisting forces which depend on the velocity / 92.：
Rayleigh's dissipation-function / 93.：
Vibrations of dissipative systems / 94.：
Impact / 95.：
Loss of kinetic energy in impact / 96.：
Examples of impact / 97.：
The Principles of Least Action and Least Curvature / Chapter IX：
The trajectories of a dynamical system / 98.：
Hamilton's principle for conservative holonomic systems / 99.：
The principle of Least Action for conservative holonomic systems / 100.：
Extension of Hamilton's principle to non-conservative dynamical systems / 101.：
Extension of Hamilton's principle and the principle of Least Action to non-holonomic systems / 102.：
Are the stationary integrals actual minima? Kinetic foci / 103.：
Representation of the motion of dynamical systems by means of geodesics / 104.：
The least-curvature principle of Gauss and Hertz / 105.：
Expression of the curvature of a path in terms of generalised coordinates / 106.：
Appell's equations / 107.：
Bertrand's theorem / 108.：
Hamiltonian Systems and Their Integral-Invariants / Chapter X：
Hamilton's form of the equations of motion / 109.：
Equations arising from the Calculus of Variations / 110.：
Integral-invariants / 111.：
The variational equations / 112.：
Integral-invariants of order one / 113.：
Relative integral-invariants / 114.：
A relative integral-invariant which is possessed by all Hamiltonian systems / 115.：
On systems which possess the relative integral-invariant [integral sign][summation]p[small delta]q / 116.：
The expression of integral-invariants in terms of integrals / 117.：
The theorem of Lie and Koenigs / 118.：
The last multiplier / 119.：
Derivation of an integral from two multipliers / 120.：
Application of the last multiplier to Hamiltonian systems; use of a single known integral / 121.：
Integral-invariants whose order is equal to the order of the system / 122.：
Reduction of differential equations to the Lagrangian form / 123.：
Case in which the kinetic energy is quadratic in the velocities / 124.：
The Transformation-Theory of Dynamics / Chapter XI：
Hamilton's Characteristic Function and contact-transformations / 125.：
Contact-transformations in space of any number of dimensions / 126.：
The bilinear covariant of a general differential form / 127.：
The conditions for a contact-transformation expressed by means of the bilinear covariant / 128.：
The conditions for a contact-transformation in terms of Lagrange's bracket-expressions / 129.：
Poisson's bracket-expressions / 130.：
The conditions for a contact-transformation expressed by means of Poisson's bracket-expressions / 131.：
The sub-groups of Mathieu transformations and extended point-transformations / 132.：
Infinitesimal contact-transformations / 133.：
The resulting new view of dynamics / 134.：
Helmholtz's reciprocal theorem / 135.：
Jacobi's theorem on the transformation of a given dynamical system into another dynamical system / 136.：
Representation of a dynamical problem by a differential form / 137.：
The Hamiltonian function of the transformed equations / 138.：
Transformations in which the independent variable is changed / 139.：
New formulation of the integration-problem / 140.：
Properties of the Integrals of Dynamical Systems / Chapter XII：
Reduction of the order of a Hamiltonian system by use of the energy integral / 141.：
Hamilton's partial differential equation / 142.：
Hamilton's integral as a solution of Hamilton's partial differential equation / 143.：
The connexion of integrals with infinitesimal transformations admitted by the system / 144.：
Poisson's theorem / 145.：
The constancy of Lagrange's bracket-expressions / 146.：
Involution-systems / 147.：
Solution of a dynamical problem when half the integrals are known / 148.：
Levi-Civita's theorem / 149.：
Systems which possess integrals linear in the momenta / 150.：
Determination of the forces acting on a system for which an integral is known / 151.：
Application to the case of a particle whose equations of motion possess an integral quadratic in the velocities / 152.：
General dynamical systems possessing integrals quadratic in the velocities / 153.：
The Reduction of the Problem of Three Bodies / Chapter XIII：
Introduction / 154.：
The differential equations of the problem / 155.：
Jacobi's equation / 156.：
Reduction to the 12th order, by use of the integrals of motion of the centre of gravity / 157.：
Reduction to the 8th order, by use of the integrals of angular momentum and elimination of the nodes / 158.：
Reduction to the 6th order / 159.：
Alternative reduction of the problem from the 18th to the 6th order / 160.：
The problem of three bodies in a plane / 161.：
The restricted problem of three bodies / 162.：
Extension to the problem of n bodies / 163.：
The Theorems of Bruns and Poincare / Chapter XIV：
Bruns' theorem / 164.：
Statement of the theorem / (i)：
Expression of an integral in terms of the essential coordinates of the problem / (ii)：
An integral must involve the momenta / (iii)：
Only one irrationality can occur in the integral / (iv)：
Expression of the integral as a quotient of two real polynomials / (v)：
Derivation of integrals from the numerator and denominator of the quotient / (vi)：
Proof that [phi][subscript 0] does not involve the irrationality / (vii)：
Proof that [phi][subscript 0] is a function only of the momenta and the integrals of angular momentum / (viii)：
Proof that [phi][subscript 0] is a function of T, L, M, N / (ix)：
Deduction of Bruns' theorem, for integrals which do not involve t / (x)：
Extension of Bruns' result to integrals which involve the time / (xi)：
Poincare's theorem / 165.：
The equations of motion of the restricted problem of three bodies
Statement of Poincare's theorem
Proof that [phi][subscript 0] is not a function of H[subscript 0]
Proof that [phi][subscript 0] cannot involve the variables q[subscript 1], q[subscript 2]
Proof that the existence of a one-valued integral is inconsistent with the result of (iii) in the general case
Removal of the restrictions on the coefficients B[subscript m1, m2]
Deduction of Poincare's theorem
The General Theory of Orbits / Chapter XV：
Periodic solutions / 166.：
A criterion for the discovery of periodic orbits / 168.：
Asymptotic solutions / 169.：
The orbits of planets in the relativity-theory / 170.：
The motion of a particle on an ellipsoid under no external forces / 171.：
Ordinary and singular periodic solutions / 172.：
Characteristic exponents / 173.：
Characteristic exponents when t does not occur explicitly / 174.：
The characteristic exponents of a system which possesses a one-valued integral / 175.：
The theory of matrices / 176.：
The characteristic exponents of a Hamiltonian system / 177.：
The asymptotic solutions of [section] 170 deduced from the theory of characteristic exponents / 178.：
The characteristic exponents of "ordinary" and "singular" periodic solutions / 179.：
Lagrange's three particles / 180.：
Stability of Lagrange's particles: periodic orbits in the vicinity / 181.：
The stability of orbits as affected by terms of higher order in the displacement / 182.：
Attractive and repellent regions of a field of force / 183.：
Application of the energy integral to the problem of stability / 184.：
Application of integral-invariants to investigations of stability / 185.：
Synge's "Geometry of Dynamics" / 186.：
Connexion with the theory of surface transformations / 187.：
Integration by Series / Chapter XVI：
The need for series which converge for all values of the time; Poincare's series / 188.：
The regularisation of the problem of three bodies / 189.：
Trigonometric series / 190.：
Removal of terms of the first degree from the energy function / 191.：
Determination of the normal coordinates by a contact-transformation / 192.：
Transformation to the trigonometric form of H / 193.：
Other types of motion which lead to equations of the same form / 194.：
The problem of integration / 195.：
Determination of the adelphic integral in Case I / 196.：
An example of the adelphic integral in Case I / 197.：
The question of convergence / 198.：
Use of the adelphic integral in order to complete the integration / 199.：
The fundamental property of the adelphic integral / 200.：
Determination of the adelphic integral in Case II / 201.：
An example of the adelphic integral in Case II / 202.：
Determination of the adelphic integral in Case III / 203.：
An example of the adelphic integral in Case III / 204.：
Completion of the integration of the dynamical system in Cases II and III / 205.：
Index of Authors Quoted
Index of Terms Employed
Foreword / Sir William McCrea, FRS
Preface to the fourth edition
Kinematical Preliminaries / Chapter I：
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