Ordinary equations, not linear
著者
書誌事項
Ordinary equations, not linear
（Theory of differential equations, pt. 2）
Cambridge University Press, 2011, c1900
1st pbk. ed
- v. 2 : pbk
- v. 3 : pbk
大学図書館所蔵 件 / 全9件
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v. 2 : pbk413.6||FOR 9||3-2200024923210,
v. 3 : pbk413.6||FOR 9||3-3200024923229 -
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注記
"Paperback reissue"--P. [4] of cover
"First publiblished 1900, first paperback edition 2011"--T.p. verso in v. 2
"First publiblished 1890, first paperback edition 2011"--T.p. verso in v. 3
Vol. 3 includes index
内容説明・目次
- 巻冊次
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v. 3 : pbk ISBN 9781107630123
内容説明
Andrew Russell Forsyth (1858-1942) was an influential Scottish mathematician notable for incorporating the advances of Continental mathematics within the British tradition. Originally published in 1900, this book constitutes the third of six volumes in Forsyth's Theory of Differential Equations series, concentrating specifically on ordinary equations which are not linear. The text contains detailed information on the development of this area and substantial contributions made to it. All sources are quoted in their proper connection and a few fresh investigations are added. Examples are given, where necessary, in order to provide illustrations of various methods. This book will be of value to anyone with an interest in differential equations and the history of mathematics.
目次
- 11. Reduced forms of systems of equations of the first order in the vicinity of singularities of the derivatives
- 12. The integrals of the reduced forms of a system of equations, chiefly of two dependent variables
- 13. Systems of equations with multiform values of the derivatives
- singular solutions
- 14. Equations of the second order and the first degree
- 15. Equations of the second order and any degree
- 16. Equations of the second order with sub-uniform integrals: with some general considerations
- 17. General theorems on algebraic integrals: Bruns's theorem
- Index.
- 巻冊次
-
v. 2 : pbk ISBN 9781107640252
内容説明
Andrew Russell Forsyth (1858-1942) was an influential Scottish mathematician notable for incorporating the advances of Continental mathematics within the British tradition. Originally published in 1900, this book constitutes the second of six volumes in Forsyth's Theory of Differential Equations series, concentrating specifically on ordinary equations which are not linear. The text contains detailed information on the development of this area and substantial contributions made to it. All sources are quoted in their proper connection and a few fresh investigations are added. Examples are given, where necessary, in order to provide illustrations of various methods. This book will be of value to anyone with an interest in differential equations and the history of mathematics.
目次
- 1. Introductory
- 2. Cauchy's theorem on the existence of regular integrals of a system of equations
- 3. Classes of non-ordinary points connected with the form of the equation of the first order and first degree in the derivative
- 4. Influence, upon the integral, of an accidental singularity of the first kind possessed by the equation
- 5. Reduction of the differential equation to final typical forms, valid in the vicinity of an accidental singularity of the second kind
- 6. The character of the integrals possessed by the respective reduced forms of the original equation in the vicinity of the accidental singularity of the second kind
- 7. Effect, upon the integral, of essential singularities of the equation
- 8. Branch-points of an equation of the first order and any degree, as determined by the equation: singular and particular solutions
- 9. Differential equations of the first order having their integrals free from parametric branch-points
- 10. Equations of first order with uniform integrals, and with algebraical integrals.
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