Introduction To Modern Algebra And Matrix Theory. Projective Geometry Of N Dimensions [2 Volumes, Complete Set] Schreier, Otto; Sperner, Emanuel Mathematics

2 volumes 8vo (23.5 cm), VIII, 378, [14] pp; 208 pp. Publisher's cloth, gilt-lettered spines (numbers on the front free endpaper, canceled stamps of a mathematical institution verso of title pages). Second edition. Translated by Martin Davis and Melvin Hausner. Otto Schreier (1901-1929) was a Jewish-Austrian mathematician who made major contributions to combinatorial group theory and the topology of Lie groups. Emanuel Sperner (1905-1980) was a German mathematician, best known for two theorems in the set theory. Their renowned work, "Einführung in die Analytische Geometrie und Algebra," was originally published in 1931-35 in two volumes. This English translation includes both volumes, the final part of Volume I on projective geometry published as Volume 2. Chapter headings include: Volume I: I. Affine Space. Linear Equations. II. Euclidean Space. Theory of Determinants. III. The Theory of Fields. Fundamental Theorem of Algebra. IV. Elements of Group Theory. V. Matrices and Linear Transformations. Volume II: I. n-Dimentional Projective Space. II. General Projective Coordinates. III. Hyperplane Coordinates. The Duality Principle. IV. The Cross Ratio. V. Projectivities. VI. Linear Projectivities of Pn onto Itself. VII. Correlations. VIII. Hypersurfaces of the second Order. IX. Projective Classification of Hypersurfaces of the Second Order. X. Projective Properties of Hypersurfaces of the Second Order. XI. The Affine Classification of Hypersurfaces of the Second Order. XII. The Metric Classification of Hypersurfaces of the Second Order.