skip to content
Covid-19 virus
COVID-19 Resources

Reliable information about the coronavirus (COVID-19) is available from the World Health Organization (current situation, international travel). Numerous and frequently-updated resource results are available from this WorldCat.org search. OCLC’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus issues in their communities.

Image provided by: CDC/ Alissa Eckert, MS; Dan Higgins, MAM
Differential Calculus in Normed Linear Spaces Preview this item
ClosePreview this item
Checking...

Differential Calculus in Normed Linear Spaces

Author: Kalyan Mukherjea
Publisher: Gurgaon : Hindustan Book Agency : Imprint : Hindustan Book Agency, 2007.
Series: Texts and readings in mathematics, 26.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces. Not only does this lead to a simplified and transparent exposition of "difficult" results like the Inverse and Implicit Function Theorems but also permits, without any  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: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kalyan Mukherjea
ISBN: 9789386279347 9386279347 9788185931760 8185931763
OCLC Number: 1002333654
Description: 1 online resource (294 pages) : online resource
Contents: 1 Preliminaries; 2 Linear Spaces: New Spaces for Old; 3 Normed Linear Spaces, Metric Spaces; 4 Calculus; 5 Existence Theorems; 6 Applications: Stationary values; Appendix: Green's Theorem.
Series Title: Texts and readings in mathematics, 26.
Responsibility: by Kalyan Mukherjea.

Abstract:

This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a  Read more...

Reviews

Editorial reviews

Publisher Synopsis

"... at this sort of level it could form the backbone for an excellent course in analysis....Institutional use apart, please read this remarkable, striking and original book. The Mathematical Gazette" 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


\n\n

Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/1002333654<\/a>> # Differential Calculus in Normed Linear Spaces<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:MediaObject<\/a>, schema:CreativeWork<\/a>, schema:Book<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"1002333654<\/span>\" ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Topic\/calcul_differentiel<\/a>> ; # Calcul diff\u00E9rentiel<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Topic\/espaces_lineaires_normes<\/a>> ; # Espaces lin\u00E9aires norm\u00E9s<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Topic\/mathematics<\/a>> ; # Mathematics<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/510\/e23\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Person\/mukherjea_kalyan<\/a>> ; # Kalyan Mukherjea<\/span>\n\u00A0\u00A0\u00A0\nschema:bookEdition<\/a> \"Second edition.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> schema:EBook<\/a> ;\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2007<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces. Not only does this lead to a simplified and transparent exposition of \"difficult\" results like the Inverse and Implicit Function Theorems but also permits, without any extra effort, a discussion of the Differential Calculus of functions defined on infinite dimensional Hilbert or Banach spaces. The prerequisites demanded of the reader are modest: a sound understanding of convergence of sequences and series of real numbers, the continuity and differentiability properties of functions of a real variable and a little Linear Algebra should provide adequate background for understanding the book. The first two chapters cover much of the more advanced background material on Linear Algebra (like dual spaces, multilinear functions and tensor products.) Chapter 3 gives an ab initio exposition of the basic results concerning the topology of metric spaces, particularly of normed linear spaces. The last chapter deals with miscellaneous applications of the Differential Calculus including an introduction to the Calculus of Variations. As a corollary to this, there is a brief discussion of geodesics in Euclidean and hyperbolic planes and non-Euclidean geometry.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/1076302<\/a>> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Electronic books<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/worldcat.org\/issn\/2366-8717<\/a>> ; # Texts and readings in mathematics ;<\/span>\n\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/worldcat.org\/entity\/work\/data\/1076302#CreativeWork\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Differential Calculus in Normed Linear Spaces<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"1002333654<\/span>\" ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/0-link-springer-com.pugwash.lib.warwick.ac.uk\/10.1007\/978-93-86279-34-7<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/public.ebookcentral.proquest.com\/choice\/publicfullrecord.aspx?p=5394680<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/doi.org\/10.1007\/978-93-86279-34-7<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/link.springer.com\/openurl?genre=book&isbn=978-81-85931-76-0<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/dx.doi.org\/10.1007\/978-93-86279-34-7<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9788185931760<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9789386279347<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/1002333654<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Related Entities<\/h3>\n
<http:\/\/dewey.info\/class\/510\/e23\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dx.doi.org\/10.1007\/978-93-86279-34-7<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:IndividualProduct<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Person\/mukherjea_kalyan<\/a>> # Kalyan Mukherjea<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Mukherjea<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Kalyan<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Kalyan Mukherjea<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Topic\/calcul_differentiel<\/a>> # Calcul diff\u00E9rentiel<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Calcul diff\u00E9rentiel<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Topic\/espaces_lineaires_normes<\/a>> # Espaces lin\u00E9aires norm\u00E9s<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Espaces lin\u00E9aires norm\u00E9s<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1076302#Topic\/mathematics<\/a>> # Mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/entity\/work\/data\/1076302#CreativeWork\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Printed edition:<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/www.worldcat.org\/oclc\/1002333654<\/a>> ; # Differential Calculus in Normed Linear Spaces<\/span>\n\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9788185931760<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"8185931763<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9788185931760<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9789386279347<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9386279347<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9789386279347<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/issn\/2366-8717<\/a>> # Texts and readings in mathematics ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/1002333654<\/a>> ; # Differential Calculus in Normed Linear Spaces<\/span>\n\u00A0\u00A0\u00A0\nschema:issn<\/a> \"2366-8717<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Texts and readings in mathematics ;<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Texts and Readings in Mathematics,<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/1002333654<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/1002333654<\/a>> ; # Differential Calculus in Normed Linear Spaces<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-01-15<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n