skip to content
A short course in differential topology Preview this item
ClosePreview this item
Checking...

A short course in differential topology

Author: B I Dundas
Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018. ©2018
Series: Cambridge mathematical textbooks.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"Preface In his inaugural lecture in 1854, Riemann introduced the concept of an "n fach ausgedehnten Grösse"--Roughly something that has "n degrees of freedom" and which we now would call an n-dimensional manifold. Examples of manifolds are all around us and arise in many applications, but formulating the ideas in a satisfying way proved to be a challenge inspiring the creation of beautiful mathematics. As a matter  Read more...
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

Genre/Form: Electronic books
Additional Physical Format: Print version:
Dundas, B.I. (Bjørn Ian).
Short course in differential topology.
Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018
(DLC) 2017061465
(OCoLC)1021214357
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: B I Dundas
ISBN: 9781108349130 1108349137 1108425798 9781108425797
OCLC Number: 1043615459
Description: 1 online resource (xii, 251 pages)
Contents: Smooth manifolds --
The tangent space --
Regular values --
Vector bundles --
Constructions on vector bundles --
Integrability --
Local phenomena that go global.
Series Title: Cambridge mathematical textbooks.
Responsibility: Bjørn Ian Dundas, Universitetet i Bergen, Norway.

Abstract:

This book offers a concise and modern introduction to differential topology, the study of smooth manifolds and their properties, at the advanced undergraduate/beginning graduate level. The treatment  Read more...

Reviews

Editorial reviews

Publisher Synopsis

'Learning some topics in mathematics is a bit like climbing a mountain - it is best done with a guide. In this short course, Dundas is just that guide - revealing the best routes, giving the reader Read more...

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

Tags

Be the first.

Similar Items

Related Subjects:(1)

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/1043615459> # A short course in differential topology
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
    library:oclcnum "1043615459" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    schema:about <http://dewey.info/class/514.72/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/4743654649#Topic/differential_topology> ; # Differential topology
    schema:author <http://experiment.worldcat.org/entity/work/data/4743654649#Person/dundas_b_i_bjorn_ian> ; # Bjørn Ian Dundas
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2018" ;
    schema:datePublished "2018" ;
    schema:description "Smooth manifolds -- The tangent space -- Regular values -- Vector bundles -- Constructions on vector bundles -- Integrability -- Local phenomena that go global."@en ;
    schema:description ""Preface In his inaugural lecture in 1854, Riemann introduced the concept of an "n fach ausgedehnten Grösse"--Roughly something that has "n degrees of freedom" and which we now would call an n-dimensional manifold. Examples of manifolds are all around us and arise in many applications, but formulating the ideas in a satisfying way proved to be a challenge inspiring the creation of beautiful mathematics. As a matter of fact, much of the mathematical language of the 20th century was created with manifolds in mind. Modern texts often leave the readers with the feeling that they are getting the answer before they know there is a problem. Taking the historical approach to this didactic problem has several disadvantages. The pioneers were brilliant mathematicians, but still they struggled for decades getting the concepts right. We must accept that we are standing on the shoulders of giants. The only remedy I see is to give carefully chosen examples to guide the mind to ponder over the questions that you would actually end up wondering about even after spending a disproportionate amount of time; and in this way hopefully appreciating and internalizing the solutions when they are offered. These examples should be concrete. On the other end of the scale, also proofs should be considered as examples: they are examples of successful reasoning"--"@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/4743654649> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/4743654649#Series/cambridge_mathematical_textbooks> ; # Cambridge mathematical textbooks.
    schema:isSimilarTo <http://www.worldcat.org/oclc/1021214357> ;
    schema:name "A short course in differential topology"@en ;
    schema:productID "1043615459" ;
    schema:url <https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5436007> ;
    schema:url <http://0-doi.org.pugwash.lib.warwick.ac.uk/10.1017/9781108349130> ;
    schema:url <https://doi.org/10.1017/9781108349130> ;
    schema:workExample <http://worldcat.org/isbn/9781108349130> ;
    schema:workExample <http://worldcat.org/isbn/9781108425797> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1043615459> ;
    .


Related Entities

<http://0-doi.org.pugwash.lib.warwick.ac.uk/10.1017/9781108349130>
    rdfs:comment "Connect to Cambridge e-book" ;
    .

<http://experiment.worldcat.org/entity/work/data/4743654649#Person/dundas_b_i_bjorn_ian> # Bjørn Ian Dundas
    a schema:Person ;
    schema:familyName "Dundas" ;
    schema:givenName "Bjørn Ian" ;
    schema:givenName "B. I." ;
    schema:name "Bjørn Ian Dundas" ;
    .

<http://experiment.worldcat.org/entity/work/data/4743654649#Series/cambridge_mathematical_textbooks> # Cambridge mathematical textbooks.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1043615459> ; # A short course in differential topology
    schema:name "Cambridge mathematical textbooks." ;
    schema:name "Cambridge mathematical textbooks" ;
    .

<http://experiment.worldcat.org/entity/work/data/4743654649#Topic/differential_topology> # Differential topology
    a schema:Intangible ;
    schema:name "Differential topology"@en ;
    .

<http://worldcat.org/isbn/9781108349130>
    a schema:ProductModel ;
    schema:isbn "1108349137" ;
    schema:isbn "9781108349130" ;
    .

<http://worldcat.org/isbn/9781108425797>
    a schema:ProductModel ;
    schema:isbn "1108425798" ;
    schema:isbn "9781108425797" ;
    .

<http://www.worldcat.org/oclc/1021214357>
    a schema:CreativeWork ;
    rdfs:label "Short course in differential topology." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1043615459> ; # A short course in differential topology
    .

<https://doi.org/10.1017/9781108349130>
    rdfs:comment "Cambridge Core (Restricted to University of Ottawa)" ;
    rdfs:comment "from Cambridge Books Online" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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