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1.

図書

図書
David Hilbert ; translated from the Germany by Iain T. Adamson ; with an introduction by Franz Lemmermeyer and Norbert Schappacher
出版情報: Berlin : Springer, c1998  xxxvi, 350 p. ; 25 cm
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2.

図書

図書
David Hilbert ; translated by Reinhard C. Laubenbacher ; edited and with an introduction by Bernd Sturmfels
出版情報: Cambridge [England] ; New York, NY, USA : Cambridge University Press, 1993  xiv, 191 p. ; 24 cm
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目次情報: 続きを見る
Preface
Introduction
The Elements of Invariant Theory / Part I:
The forms / 1:
The linear transformation / 2:
The concept of an invariant / 3:
Properties of invariants and covariants / 4:
The operation symbols D and D / 5:
The smallest system of conditions for the determination of the invariants and covariants / 6:
The number of invariants of degree g / 7:
The invariants and covariants of degree two and three / 8:
Simultaneous invariants and covariants / 9:
Covariants of covariants / 10:
The invariants and covariants as functions of the roots / 11:
The invariants and covariants as functions of the one-sided derivatives / 12:
The symbolic representation of invariants and covariants / 13:
The Theory of Invariant Fields / Part II:
Proof of the finitenesss of the full invariant system via representation by root differences / 14:
A generalizable proof for the finiteness of the full invariant system / 15:
The system of invariants I; I1, I2, ..., Ik / 16:
The vanishing of the invariants / 17:
The ternary nullform / 18:
The finiteness of the number of irreducible syzygies and of the syzygy chain / 19:
The inflection point problem for plane curves of order three / 20:
The generalization of invariant theory / 21:
Observations about new types of coordinates / 22:
Preface
Introduction
The Elements of Invariant Theory / Part I:
3.

図書

図書
D. ヒルベルト, P. ベルナイス著 ; 吉田夏彦, 渕野昌訳
出版情報: 東京 : シュプリンガー・フェアラーク東京, 1993.10  xiii, 336p ; 22cm
シリーズ名: シュプリンガー数学クラシックス
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4.

図書

図書
杉浦光夫編
出版情報: 東京 : 日本評論社, 1997.2  iv, 194p ; 22cm
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