Differential Topology: First Steps
(eBook)

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Published
Dover Publications, 2012.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486150031

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Citations

APA Citation, 7th Edition (style guide)

Andrew H. Wallace., & Andrew H. Wallace|AUTHOR. (2012). Differential Topology: First Steps . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Andrew H. Wallace and Andrew H. Wallace|AUTHOR. 2012. Differential Topology: First Steps. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Andrew H. Wallace and Andrew H. Wallace|AUTHOR. Differential Topology: First Steps Dover Publications, 2012.

MLA Citation, 9th Edition (style guide)

Andrew H. Wallace, and Andrew H. Wallace|AUTHOR. Differential Topology: First Steps Dover Publications, 2012.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work ID47077df8-0e62-561f-bf71-d4f8272fd69a-eng
Full titledifferential topology first steps
Authorwallace andrew h
Grouping Categorybook
Last Update2023-10-08 19:01:23PM
Last Indexed2024-04-20 03:27:41AM

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First LoadedDec 1, 2023
Last UsedApr 18, 2024

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    [synopsis] => Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. Its focus is the method of spherical modifications and the study of critical points of functions on manifolds. No previous knowledge of topology is necessary for this text, which offers introductory material regarding open and closed sets and continuous maps in the first chapter. Succeeding chapters discuss the notions of differentiable manifolds and maps and explore one of the central topics of differential topology, the theory of critical points of functions on a differentiable manifold. Additional topics include an investigation of level manifolds corresponding to a given function and the concept of spherical modifications. The text concludes with applications of previously discussed material to the classification problem of surfaces and guidance, along with suggestions for further reading and study.
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