Springer Netherlands

Springer Netherlands

English

From the reviews of the first edition: "This book presents in great detail all the results one needs to prove the Morse homology theorem using classical techniques from algebraic topology and homotopy theory. … This book collects all these results together into a single reference with complete and detailed proofs. … With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists." (Bulletin Bibliographique, Vol. 51 (1-2), 2005) "This book provides a treatment of finite-dimensional Morse theory and its associated chain complex, pitched at a level appropriate to early-stage graduate students. … Throughout, the authors take pains to make the material accessible, and … extensive references are provided. … Many well-drawn figures are provided to clarify the text, and there are over 200 exercises, with hints for some of them in the back. … Banyaga and Hurtubise’s book provides a valuable service by introducing young mathematicians to a circle of ideas … ." (Michael J. Usher, Mathematical Reviews, Issue 2006 i) "This book is an exposition of the ‘classical’ approach to finite dimensional Morse homology. … This book presents in great detail all the results one needs to prove the Morse Homology theorem … . References to the literature are provided throughout the book … . A lot of examples, suggestive figures and diagrams in every chapter and many useful exercises at the end of the chapters makes this book a good and attractive textbook (as well as an excellent monograph). … The bibliography is exhaustive." (Ioan Pop, Zentralblatt MATH, Vol. 1080, 2006)