This text provides a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequisites to a minimum; this and the emphasis on the geometric and intuitive aspects of the subject make the book a useful introduction for the student. There are numerous exercises on many different levels, ranging from practical applications of the theorems to significant further development of the theory.

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