Lectures on Morse Homology

Author:   Augustin Banyaga ,  David Hurtubise ,  Deborah Ajayi
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2004
Volume:   29
ISBN:  

9789048167050


Pages:   326
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Lectures on Morse Homology


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Author:   Augustin Banyaga ,  David Hurtubise ,  Deborah Ajayi
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2004
Volume:   29
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.522kg
ISBN:  

9789048167050


ISBN 10:   9048167051
Pages:   326
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Reviews

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)


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)


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