Morse Theory - Smooth and Discrete
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.
Request Inspection CopyContents:Smooth Morse Theory:First StepsFundamental Results in Morse TheoryTopological ConsequencesHomologyPiecewise Linear Morse TheoryDiscrete Morse Theory:First StepsTopological ConsequencesAlgorithmsApplicationsAppendices:Smooth ManifoldsCell Complexes Readership: Graduate students in geometry and topology.Key Features:It is the first time these topics have been treated in the same volumeAccessible introduction to smooth Morse theory, aimed at studentsText includes many worked examples