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The Resource The Kurzweil-Henstock Integral for Undergraduates : A Promenade Along the Marvelous Theory of Integration, by Alessandro Fonda, (electronic resource)

The Kurzweil-Henstock Integral for Undergraduates : A Promenade Along the Marvelous Theory of Integration, by Alessandro Fonda, (electronic resource)

Label
The Kurzweil-Henstock Integral for Undergraduates : A Promenade Along the Marvelous Theory of Integration
Title
The Kurzweil-Henstock Integral for Undergraduates
Title remainder
A Promenade Along the Marvelous Theory of Integration
Statement of responsibility
by Alessandro Fonda
Creator
Subject
Language
eng
Summary
This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue's in RN, but its construction is rather simple, since it makes use of Riemann sums which, being geometrically viewable, are more easy to be understood. The theory is developed also for functions of several variables, and for differential forms, as well, finally leading to the celebrated Stokes–Cartan formula. In the appendices, differential calculus in RN is reviewed, with the theory of differentiable manifolds. Also, the Banach–Tarski paradox is presented here, with a complete proof, a rather peculiar argument for this type of monographs.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Fonda, Alessandro
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Compact Textbooks in Mathematics,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
Mathematics
Label
The Kurzweil-Henstock Integral for Undergraduates : A Promenade Along the Marvelous Theory of Integration, by Alessandro Fonda, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95321-2
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Functions of one real variable -- Functions of several real variables -- Differential forms -- Differential calculus in RN -- The Stokes–Cartan and the Poincaré theorems -- On differentiable manifolds -- The Banach–Tarski paradox -- A brief historical note
Control code
978-3-319-95321-2
Dimensions
unknown
Extent
1 online resource (X, 216 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319953212
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
24 illustrations, 5 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1076270956
Label
The Kurzweil-Henstock Integral for Undergraduates : A Promenade Along the Marvelous Theory of Integration, by Alessandro Fonda, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95321-2
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Functions of one real variable -- Functions of several real variables -- Differential forms -- Differential calculus in RN -- The Stokes–Cartan and the Poincaré theorems -- On differentiable manifolds -- The Banach–Tarski paradox -- A brief historical note
Control code
978-3-319-95321-2
Dimensions
unknown
Extent
1 online resource (X, 216 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319953212
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
24 illustrations, 5 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1076270956

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