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- First indexed
- 22 Sep 2026
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Description
In 1927, M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. It is a large and actively developing domain of differential topology, with applications and connections to many geometrical problems. The aim of the present book is to give a systematic treatment of the geometric foundations of a subfield of that topic, the circle-valued Morse functions, a subfield of Morse theory.
Review:
Overall the book covers a lot of material in a style and detail that should be easily accessible to both graduate students and researchers wanting to learn the subject. Dirk Schutz in: Mathematical Reviews 2008 The book under review is a very nice and valuable text on the Morse-Novikov theory. It can help anyone who wants to learn the basis of the theory as well as some more recent and advanced developments and applications. Davod Chataur in: Zentralblatt MATH 1118/2007
Review:
Overall the book covers a lot of material in a style and detail that should be easily accessible to both graduate students and researchers wanting to learn the subject. Dirk Schutz in: Mathematical Reviews 2008 The book under review is a very nice and valuable text on the Morse-Novikov theory. It can help anyone who wants to learn the basis of the theory as well as some more recent and advanced developments and applications. Davod Chataur in: Zentralblatt MATH 1118/2007