Morse Theory: Smooth and Discrete

"The book fills a gap existing in the literature. His book covers both theories in an introductory way. It is self-contained. In addition, many detailed and motivational examples are included, so even the non-specialist reader will find the text clear and user-friendly. This book could be a nice text for a course on Morse theory in a wide sense. Researchers interested specifically in an introduction to discrete Morse theory can now avoid looking for various papers or sections of several books."

Mathematical Reviews Clippings

Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.