The Resource From classical to modern analysis, Rinaldo B. Schinazi
From classical to modern analysis, Rinaldo B. Schinazi
Resource Information
The item From classical to modern analysis, Rinaldo B. Schinazi represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item From classical to modern analysis, Rinaldo B. Schinazi represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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 twosemester 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 singlevariable 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 selfcontained and comprehensive introduction to real analysis for selfstudy and review.
 Language
 eng
 Extent
 1 online resource (xii, 270 pages)
 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
 Isbn
 9783319945835
 Label
 From classical to modern analysis
 Title
 From classical to modern analysis
 Statement of responsibility
 Rinaldo B. Schinazi
 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 twosemester 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 singlevariable 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 selfcontained and comprehensive introduction to real analysis for selfstudy and review.
 Assigning source
 Provided by publisher
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Schinazi, Rinaldo B.
 Dewey number
 515
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA300
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName
 Mathematical analysis
 Label
 From classical to modern analysis, Rinaldo B. Schinazi
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 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
 Dimensions
 unknown
 Extent
 1 online resource (xii, 270 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319945835
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319945835
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 Label
 From classical to modern analysis, Rinaldo B. Schinazi
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 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
 Dimensions
 unknown
 Extent
 1 online resource (xii, 270 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319945835
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319945835
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/FromclassicaltomodernanalysisRinaldoB./qOF_h3Y7iY4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/FromclassicaltomodernanalysisRinaldoB./qOF_h3Y7iY4/">From classical to modern analysis, Rinaldo B. Schinazi</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>