AMS Chelsea Publishing 1970; 484 pp; hardcover ISBN10: 0828401896 ISBN13: 9780828401890 List Price: US$50 Member Price: US$45 Order Code: CHEL/189
 This book resulted from two reports (published in 1928 and 1932) of the Committee on Rational Transformations, established by the National Research Council. The purpose of the reports was to give a comprehensive survey of the literature on the subject. Each chapter is regarded as a separate unit that can be read independently. Readership Graduate students and research mathematicians. Table of Contents Volume I  Quadratic cremona transformations
 Analysis of singularities of plane algebraic curves
 Linear systems of plane curves
 Planar cremona transformations
 Multiple correspondences between two planes
 Involutions on rational curves
 Correspondences on nonrational curves
 Cremona transformations in space and hyperspace
 \((1, 2)\) correspondences between \(S^{\prime}_r\) and \(S_r, r> 2\)
 Reduction of singularities of space curves and surfaces
 Multiple correspondence in space and hyperspace
 The mapping of a rational surface on a plane
 The mapping of a rational congruence on a plane
 Involutions on irrational surfaces
 Transcendental theory
 Singular correspondences between algebraic curves
 Hyperelliptic surfaces and abelian varieties
Volume II  Curves and ruled surfaces
 The mapping of systems of curves
 Systems of lines in \(S_n\); Irregular surfaces
 Cremona transformations
 Multiple correspondences
 Surfaces and varieties
