Hodge W.V.D., Pedoe D. — Methods of Algebraic Geometry: Volume 1 :: Электронная библиотека попечительского совета мехмата МГУ

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Hodge W.V.D., Pedoe D. — Methods of Algebraic Geometry: Volume 1

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Название: Methods of Algebraic Geometry: Volume 1

Авторы: Hodge W.V.D., Pedoe D.

Аннотация:

This classic work (first published in 1947), in three volumes, provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasized throughout. This first volume is divided into two parts. The first is devoted to pure algebra: the basic notions, the theory of matrices over a non-commutative ground field and a study of algebraic equations. The second part is in n dimensions. It concludes with a purely algebraic account of collineations and correlations.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 1953

Количество страниц: 440

Добавлена в каталог: 18.11.2009

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Предметный указатель

Special case of collineation      336
Special case of harmonic oonjugacy      229
Specialisation of polynomials      22
Square matrices      54
Square matrices, root of a matrix      90
Star of primes      339
Star of primes, vertex of      339
Subgroup      5
SubMatrix      62
Subring      11
Symbolic notation for points in projective space      181
Symmetric bilinear form      366
Symmetric canonical form      368 372
Symmetric functions of roots of a polynomial      115
Symmetric group      5
Symmetric integral function      115
Symmetric matrix      86
Symmetric matrix, lemma on rank      403
System of equations with indeterminate coefficients      146
System of reference in incidence space      249
Taylor's theorem for polynomials      122
Three-term relation for Grassmann coordinates      311
Total degree of a polynomial      115
Transcendental element of extension field      102
Transcendental extension of a field      104
Transcendental point of projective space      179
Transform of set of vectors      49
Transformations of general correlation      395
Transformations of matrix      58
Transformations, allowable      59
Transformations, elementary      63
Transformations, projective      177 322
Transpose of matrix      66

Transpose of matrix product      72
Transpose of matrix, determinant of      74
Transposition permutation      6
triangle      191
Triangle triad      245
Triangles in perspective      192
Trivial decomposition into factors      28
u-resultant of system of equations      171
U.f.d. or unique factorisation domain      29
Unit ideal      12
Unit or regular element of ring      13
United k-spaces of a collineation      344
United lines of [n]      348
United points of a collineation      334
Unity of a group      4
Unity of a matrix ring      8 54
Unity of a ring      12
Unknowns      139
Unknowns of linear homogeneous equations      68
Vectors, apolar      69
Vectors, given by columns of matrix      66
Vectors, given by rows of matrix      66
Vectors, right-hand, left-hand      48
Vertex of a polarity      374
Vertex of a projective transformation      325
Vertex of a star of primes      339
Weight of isobaric polynomial      155
Zero of a group      4
Zero of a matrix ring      7
Zero of a polynomial      114
Zero, divisor of      13
Zero, matrix      51
Zero-theorem, Hilbert's      165

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