Coverart for item
The Resource From Classical to Modern Analysis, by Rinaldo B. Schinazi, (electronic resource)

From Classical to Modern Analysis, by Rinaldo B. Schinazi, (electronic resource)

Label
From Classical to Modern Analysis
Title
From Classical to Modern Analysis
Statement of responsibility
by Rinaldo B. Schinazi
Creator
Author
Subject
Language
eng
Summary
This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of abstraction and mathematical rigor needed for graduate study in real analysis. Fitting in between analysis textbooks that are too formal or too casual, From Classical to Modern Analysis is a comprehensive, yet straightforward, resource for studying real analysis. To build the foundational elements of real analysis, the first seven chapters cover number systems, convergence of sequences and series, as well as more advanced topics like superior and inferior limits, convergence of functions, and metric spaces. Chapters 8 through 12 explore topology in and continuity on metric spaces and introduce the Lebesgue integrals. The last chapters are largely independent and discuss various applications of the Lebesgue integral. Instructors who want to demonstrate the uses of measure theory and explore its advanced applications with their undergraduate students will find this textbook an invaluable resource. Advanced single-variable calculus and a familiarity with reading and writing mathematical proofs are all readers will need to follow the text. Graduate students can also use this self-contained and comprehensive introduction to real analysis for self-study and review.--
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Schinazi, Rinaldo B
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
ctM0_ZrfdsI
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Functional analysis
  • Mathematics
Label
From Classical to Modern Analysis, by Rinaldo B. Schinazi, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-94583-5
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
Preface -- Real Numbers -- Sequences of Real Numbers -- Limits Superior and Inferior of a Sequence -- Numerical Series -- Convergence of Functions -- Power Series -- Metric Spaces -- Topology in a Metric Space -- Continuity on Metric Spaces -- Measurable Sets and Measurable Functions -- Measures -- The Lebesgue Integral -- Integrals with Respect to Counting Measures -- Riemann and Lebesgue Integrals -- Modes of Convergance -- References
Control code
978-3-319-94583-5
Dimensions
unknown
Extent
1 online resource (XII, 270 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
9783319945835
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
1 illustration
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1054887290
Label
From Classical to Modern Analysis, by Rinaldo B. Schinazi, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-94583-5
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
Preface -- Real Numbers -- Sequences of Real Numbers -- Limits Superior and Inferior of a Sequence -- Numerical Series -- Convergence of Functions -- Power Series -- Metric Spaces -- Topology in a Metric Space -- Continuity on Metric Spaces -- Measurable Sets and Measurable Functions -- Measures -- The Lebesgue Integral -- Integrals with Respect to Counting Measures -- Riemann and Lebesgue Integrals -- Modes of Convergance -- References
Control code
978-3-319-94583-5
Dimensions
unknown
Extent
1 online resource (XII, 270 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
9783319945835
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
1 illustration
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1054887290

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