skip to content
Mapping degree theory Preview this item
ClosePreview this item
Checking...

Mapping degree theory

Author: E Outerelo Domínguez; Jesús M Ruiz
Publisher: Providence, R.I. : American Mathematical Society ; Madrid, Spain : Real Sociedad Matemática Española, ©2009.
Series: Graduate studies in mathematics, v. 108.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This textbook treats the classical parts of mapping degree theory, with a detailed account of its history traced back to the first half of the 18th century. After a historical first chapter, the remaining four chapters develop the mathematics. An effort is made to use only elementary methods, resulting in a self-contained presentation. Even so, the book arrives at some truly outstanding theorems: the classification  Read more...
Rating:

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

Subjects
More like this

Find a copy in the library

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

Details

Document Type: Book
All Authors / Contributors: E Outerelo Domínguez; Jesús M Ruiz
ISBN: 9780821849156 0821849158
OCLC Number: 425959487
Description: x, 244 pages : illustrations ; 27 cm.
Contents: History --
Manifolds --
The Brouwer-Kronecker degree --
Degree theory in Euclidean spaces --
The Hopf theorems.
Series Title: Graduate studies in mathematics, v. 108.
Responsibility: Enrique Outerelo, Jesús M. Ruiz.

Abstract:

Treats the classical parts of mapping degree theory, with a detailed account of its history traced back to the first half of the 18th century. This title includes 180 exercises and problems of  Read more...

Reviews

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

Tags

Be the first.

Similar Items

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/425959487> # Mapping degree theory
    a schema:CreativeWork, schema:Book ;
    library:oclcnum "425959487" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/riu> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/773421880#Place/providence_r_i> ; # Providence, R.I.
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/773421880#Place/madrid_spain> ; # Madrid, Spain
    schema:about <http://id.worldcat.org/fast/1152679> ; # Topological degree
    schema:about <http://id.worldcat.org/fast/1008724> ; # Mappings (Mathematics)
    schema:about <http://dewey.info/class/515.7248/e22/> ;
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/7472645> ; # Jesús M. Ruiz
    schema:copyrightYear "2009" ;
    schema:creator <http://viaf.org/viaf/162222952> ; # Enrique Outerelo Domínguez
    schema:datePublished "2009" ;
    schema:description "History -- Manifolds -- The Brouwer-Kronecker degree -- Degree theory in Euclidean spaces -- The Hopf theorems."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/773421880> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/773421880#Series/graduate_studies_in_mathematics> ; # Graduate studies in mathematics ;
    schema:name "Mapping degree theory"@en ;
    schema:productID "425959487" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/425959487#PublicationEvent/providence_r_i_american_mathematical_society_madrid_spain_real_sociedad_matematica_espanola_2009> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/773421880#Agent/real_sociedad_matematica_espanola> ; # Real Sociedad Matemática Española
    schema:publisher <http://experiment.worldcat.org/entity/work/data/773421880#Agent/american_mathematical_society> ; # American Mathematical Society
    schema:reviews <http://www.worldcat.org/title/-/oclc/425959487#Review/1105545462> ;
    schema:workExample <http://worldcat.org/isbn/9780821849156> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBB108668> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/425959487> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/773421880#Agent/american_mathematical_society> # American Mathematical Society
    a bgn:Agent ;
    schema:name "American Mathematical Society" ;
    .

<http://experiment.worldcat.org/entity/work/data/773421880#Agent/real_sociedad_matematica_espanola> # Real Sociedad Matemática Española
    a bgn:Agent ;
    schema:name "Real Sociedad Matemática Española" ;
    .

<http://experiment.worldcat.org/entity/work/data/773421880#Place/madrid_spain> # Madrid, Spain
    a schema:Place ;
    schema:name "Madrid, Spain" ;
    .

<http://experiment.worldcat.org/entity/work/data/773421880#Place/providence_r_i> # Providence, R.I.
    a schema:Place ;
    schema:name "Providence, R.I." ;
    .

<http://experiment.worldcat.org/entity/work/data/773421880#Series/graduate_studies_in_mathematics> # Graduate studies in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/425959487> ; # Mapping degree theory
    schema:name "Graduate studies in mathematics ;" ;
    .

<http://id.worldcat.org/fast/1008724> # Mappings (Mathematics)
    a schema:Intangible ;
    schema:name "Mappings (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/1152679> # Topological degree
    a schema:Intangible ;
    schema:name "Topological degree"@en ;
    .

<http://viaf.org/viaf/162222952> # Enrique Outerelo Domínguez
    a schema:Person ;
    schema:familyName "Outerelo Domínguez" ;
    schema:givenName "Enrique" ;
    schema:givenName "E." ;
    schema:name "Enrique Outerelo Domínguez" ;
    .

<http://viaf.org/viaf/7472645> # Jesús M. Ruiz
    a schema:Person ;
    schema:familyName "Ruiz" ;
    schema:givenName "Jesús M." ;
    schema:name "Jesús M. Ruiz" ;
    .

<http://worldcat.org/isbn/9780821849156>
    a schema:ProductModel ;
    schema:isbn "0821849158" ;
    schema:isbn "9780821849156" ;
    .

<http://www.worldcat.org/title/-/oclc/425959487#Review/1105545462>
    a schema:Review ;
    schema:itemReviewed <http://www.worldcat.org/oclc/425959487> ; # Mapping degree theory
    schema:reviewBody ""This textbook treats the classical parts of mapping degree theory, with a detailed account of its history traced back to the first half of the 18th century. After a historical first chapter, the remaining four chapters develop the mathematics. An effort is made to use only elementary methods, resulting in a self-contained presentation. Even so, the book arrives at some truly outstanding theorems: the classification of homotopy classes for spheres and the Poincare-Hopf Index Theorem, as well as the proofs of the original formulations by Cauchy, Poincare, and others." "Although the mapping degree theory you will discover in this book is a classical subject, the treatment is refreshing for its simple and direct style. The straight-forward exposition is accented by the appearance of several uncommon topics: tubular neighborhoods without metrics, differences between class 1 and class 2 mappings, Jordan Separation with neither compactness nor cohomology, explicit constructions of homotopy classes of spheres, and the direct computation of the Hopf invariant of the first Hopf fibration."--Jacket." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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