Coverart for item
The Resource Real Analysis and Applications, by Fabio Silva Botelho, (electronic resource)

Real Analysis and Applications, by Fabio Silva Botelho, (electronic resource)

Label
Real Analysis and Applications
Title
Real Analysis and Applications
Statement of responsibility
by Fabio Silva Botelho
Creator
Subject
Language
eng
Summary
This textbook introduces readers to real analysis in one and n dimensions. It is divided into two parts: Part I explores real analysis in one variable, starting with key concepts such as the construction of the real number system, metric spaces, and real sequences and series. In turn, Part II addresses the multi-variable aspects of real analysis. Further, the book presents detailed, rigorous proofs of the implicit theorem for the vectorial case by applying the Banach fixed-point theorem and the differential forms concept to surfaces in Rn. It also provides a brief introduction to Riemannian geometry. With its rigorous, elegant proofs, this self-contained work is easy to read, making it suitable for undergraduate and beginning graduate students seeking a deeper understanding of real analysis and applications, and for all those looking for a well-founded, detailed approach to real analysis.--
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Botelho, Fabio Silva
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Mathematics
  • Measure theory
  • Functions of real variables
  • Sequences (Mathematics)
Label
Real Analysis and Applications, by Fabio Silva Botelho, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-78631-5
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
Chapter 01- Real Numbers -- Chapter 02- Metric Spaces -- Chapter 03- Real Sequences and Series -- Chapter 04- Real Function Limits -- Chapter 05- Continuous Functions -- Chapter 06- Derivatives -- Chapter 07- The Riemann Integral -- Chapter 08- Differential Analysis in Rn -- Chapter 09- Integration in Rn -- Chapter 10- Topics on Vector Calculus and Vector Analysis
Control code
978-3-319-78631-5
Dimensions
unknown
Extent
1 online resource (XIII, 567 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
9783319786315
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-78631-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1036768230
Label
Real Analysis and Applications, by Fabio Silva Botelho, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-78631-5
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
Chapter 01- Real Numbers -- Chapter 02- Metric Spaces -- Chapter 03- Real Sequences and Series -- Chapter 04- Real Function Limits -- Chapter 05- Continuous Functions -- Chapter 06- Derivatives -- Chapter 07- The Riemann Integral -- Chapter 08- Differential Analysis in Rn -- Chapter 09- Integration in Rn -- Chapter 10- Topics on Vector Calculus and Vector Analysis
Control code
978-3-319-78631-5
Dimensions
unknown
Extent
1 online resource (XIII, 567 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
9783319786315
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-78631-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1036768230

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