Translations of Mathematical Monographs 1993; 183 pp; softcover Volume: 124 ISBN10: 0821891642 ISBN13: 9780821891643 List Price: US$90 Member Price: US$72 Order Code: MMONO/124.S
 This book covers fundamental techniques in the theory of \(C^{\infty }\)imbeddings and \(C^{\infty }\)immersions, emphasizing clear intuitive understanding and containing many figures and diagrams. Adachi starts with an introduction to the work of Whitney and of Haefliger on \(C^{\infty }\)imbeddings and \(C^{\infty }\)manifolds. The SmaleHirsch theorem is presented as a generalization of the classification of \(C^{\infty }\)imbeddings by isotopy and is extended by Gromov's work on the subject, including Gromov's convex integration theory. Finally, as an application of Gromov's work, the author introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is the Adachi's work with Landweber on the integrability of almost complex structures on open manifolds. This book would be an excellent text for upperdivision undergraduate or graduate courses. Readership Research mathematicians and graduate students. Table of Contents  Preface to the English edition
 Preface
 Regular closed curves in the plane
 \(C^r\) manifolds, \(C^r\) maps, and fiber bundles
 Embeddings of \(C^\infty\) manifolds
 Immersions of \(C^\infty\) manifolds
 The Gromov convex integration theory
 Foliations on open manifolds
 Complex structures on open manifolds
 Embeddings of \(C^\infty\) manifolds (continued)
