skip to content
Differential topology Preview this item
ClosePreview this item
Checking...

Differential topology

Author: Morris W Hirsch
Publisher: New York : Springer, 1997.
Series: Graduate texts in mathematics, 33.
Edition/Format:   Print book : English : Corr. 6th printView all editions and formats
Summary:

Presents a comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology.

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Additional Physical Format: Online version:
Hirsch, Morris W., 1933-
Differential topology.
New York : Springer, 1997
(OCoLC)666165694
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Morris W Hirsch
ISBN: 0387901485 9780387901480 3540901485 9783540901488
OCLC Number: 37956441
Description: x, 222 pages : illustrations ; 25 cm.
Contents: 1 : Manifolds and Maps.- 0. Submanifolds of ?n+k.- 1. Differential Structures.- 2. Differentiable Maps and the Tangent Bundle.- 3. Embeddings and Immersions.- 4. Manifolds with Boundary.- 5. A Convention.- 2 : Function Spaces.- 1. The Weak and Strong Topologies on Cr(M, N).- 2. Approximations.- 3. Approximations on ?-Manifolds and Manifold Pairs.- 4. Jets and the Baire Property.- 5. Analytic Approximations.- 3 : Transversality.- 1. The Morse-Sard Theorem.- 2. Transversality.- 4 : Vector Bundles and Tubular Neighborhoods.- 1. Vector Bundles.- 2. Constructions with Vector Bundles.- 3. The Classification of Vector Bundles.- 4. Oriented Vector Bundles.- 5. Tubular Neighborhoods.- 6. Collars and Tubular Neighborhoods of Neat Submanifolds.- 7. Analytic Differential Structures.- 5 : Degrees, Intersection Numbers, and the Euler Characteristic.- 1. Degrees of Maps.- 2. Intersection Numbers and the Euler Characteristic.- 3. Historical Remarks.- 6 : Morse Theory.- 1. Morse Functions.- 2. Differential Equations and Regular Level Surfaces.- 3. Passing Critical Levels and Attaching Cells.- 4. CW-Complexes.- 7 : Cobordism.- 1. Cobordism and Transversality.- 2. The Thorn Homomorphism.- 8 : Isotopy.- 1. Extending Isotopies.- 2. Gluing Manifolds Together.- 3. Isotopies of Disks.- 9 : Surfaces.- 1. Models of Surfaces.- 2. Characterization of the Disk.- 3. The Classification of Compact Surfaces.
Series Title: Graduate texts in mathematics, 33.
Responsibility: Morris W. Hirsch.

Reviews

Editorial reviews

Publisher Synopsis

M.W. HirschDifferential Topology"A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/37956441> # Differential topology
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "37956441" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://dewey.info/class/514.72/e21/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2384091#Topic/differentialtopologie> ; # Differentialtopologie
   schema:about <http://experiment.worldcat.org/entity/work/data/2384091#Topic/topologia_diferencial> ; # Topologia diferencial
   schema:about <http://id.worldcat.org/fast/893498> ; # Differential topology
   schema:bookEdition "Corr. 6th print." ;
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://viaf.org/viaf/268531006> ; # Morris W. Hirsch
   schema:datePublished "1997" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2384091> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2384091#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/666165694> ;
   schema:name "Differential topology"@en ;
   schema:productID "37956441" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/37956441#PublicationEvent/new_york_springer_1997> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/2384091#Agent/springer> ; # Springer
   schema:url <http://www.gbv.de/dms/ilmenau/toc/239306260.PDF> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=008253956&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:workExample <http://worldcat.org/isbn/9783540901488> ;
   schema:workExample <http://worldcat.org/isbn/9780387901480> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/37956441> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/2384091#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/37956441> ; # Differential topology
   schema:name "Graduate texts in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/2384091#Topic/differentialtopologie> # Differentialtopologie
    a schema:Intangible ;
   schema:name "Differentialtopologie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2384091#Topic/topologia_diferencial> # Topologia diferencial
    a schema:Intangible ;
   schema:name "Topologia diferencial"@en ;
    .

<http://id.worldcat.org/fast/893498> # Differential topology
    a schema:Intangible ;
   schema:name "Differential topology"@en ;
    .

<http://viaf.org/viaf/268531006> # Morris W. Hirsch
    a schema:Person ;
   schema:birthDate "1933" ;
   schema:familyName "Hirsch" ;
   schema:givenName "Morris W." ;
   schema:name "Morris W. Hirsch" ;
    .

<http://worldcat.org/isbn/9780387901480>
    a schema:ProductModel ;
   schema:isbn "0387901485" ;
   schema:isbn "9780387901480" ;
    .

<http://worldcat.org/isbn/9783540901488>
    a schema:ProductModel ;
   schema:isbn "3540901485" ;
   schema:isbn "9783540901488" ;
    .

<http://www.worldcat.org/oclc/666165694>
    a schema:CreativeWork ;
   rdfs:label "Differential topology." ;
   schema:description "Online version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/37956441> ; # Differential topology
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.