دانلود کتاب Continuous Geometry

فهرست مطالب :

Foreword\nTable of Contents\nPART I\n Chapter I. Foundations and Elementary Properties\n Chapter II. Independence\n Chapter III. Perspectivity and Projectivity. Fundamental Properties\n Chapter IV. Perspectivity by Decomposition\n Chapter V. Distributivity. Equivalence of Perspectivity and Projec tivity\n Chapter VI. Properties of the Equivalence Classes\n Chapter VII. Dimensionality\nPART II\n Chapter I. Theory of Ideals and Coordinates in Projective Geometry\n Chapter II. Theory of Regular Rings\n Appendix 1\n Appendix 2\n Appendix 3\n Chapter III. Order of a Lattice and of a Regular Ring\n Chapter IV. Isomorphism Theorems\n Chapter V. Projective Isomorphisms in a Complemented Modular Lattice\n Chapter VI. Definition of L-Numbers; Multiplication\n Appendix\n Chapter VII. Addition of L-Numbers\n Appendix\n Chapter VIII. The Distributive Laws, Subtraction; and Proof that the L-Numbers form a Ring\n Appendix\n Chapter IX. Relations Between the Lattice and its Auxiliary Ring\n Chapter X. Further Properties of the Auxiliary Ring of the Lattice\n Chapter XI. Special Considerations. Statement of the Induction to be Proved\n Chaptfr XII. Treatment of Case I\n Chapter XIII. Preliminary Lemmas for the Treatment of Case II\n Chapter XIV. Completion of Treatment of Case II. The Fundamental Theorem\n Chapter XV. Perspectivities and Projectivities\n Chapter XVI. Inner Automorphisms\n Chapter XVII. Properties of Continuous Rings\n Chapter XVIII. Rank-Rings and Characterization of Continuous Rings\nPART III\n Chapter I. Center of a Continuous Geometry\n Appendix 1\n Appendix 2\n Chapter II. Transitivity of Perspectivity and Properties of Equivalence Classes\n Chapter III. Minimal Elements\nList of Changes from the 1935—37 Edition and comments on the text by Israel Halperin\nIndex