The Resource Foundations of abstract analysis, Jewgeni H. Dshalalow
Foundations of abstract analysis, Jewgeni H. Dshalalow
Resource Information
The item Foundations of abstract analysis, Jewgeni H. Dshalalow represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Foundations of abstract analysis, Jewgeni H. Dshalalow represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study. While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability
- Language
- eng
- Edition
- 2nd edition.
- Extent
- 1 online resource.
- Contents
-
- Measures
- Integration in Abstract Spaces
- Part 3.
- Supplementary Materials
- Solutions to Selected Problems.9
- Part 1.
- Principles of Set Theory and Point-Set Topology
- Set-Theoretic and Algebraic Preliminaries
- Analysis of Metric Spaces
- Elements of Point-Set Topology
- Part 2.
- Measure Theory and Abstract Integration
- Measurable Spaces and Measurable Functions
- Isbn
- 9781461459620
- Label
- Foundations of abstract analysis
- Title
- Foundations of abstract analysis
- Statement of responsibility
- Jewgeni H. Dshalalow
- Language
- eng
- Summary
- Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study. While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorName
- Dshalalow, Jewgeni H
- Dewey number
- 515
- Index
- index present
- Language note
- English
- LC call number
- QA300
- LC item number
- .D43 2013
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Graduate Texts in Mathematics
- Series volume
- 174
- http://library.link/vocab/subjectName
-
- Mathematical analysis
- Mathematics
- Mathematical analysis
- Analysis
- Integrationstheorie
- Maßtheorie
- Mengenlehre
- Label
- Foundations of abstract analysis, Jewgeni H. Dshalalow
- 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
-
- Measures
- Integration in Abstract Spaces
- Part 3.
- Supplementary Materials
- Solutions to Selected Problems.9
- Part 1.
- Principles of Set Theory and Point-Set Topology
- Set-Theoretic and Algebraic Preliminaries
- Analysis of Metric Spaces
- Elements of Point-Set Topology
- Part 2.
- Measure Theory and Abstract Integration
- Measurable Spaces and Measurable Functions
- Control code
- 820469878
- Dimensions
- unknown
- Edition
- 2nd edition.
- Extent
- 1 online resource.
- File format
- unknown
- Form of item
- online
- Isbn
- 9781461459620
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4614-5962-0
- http://library.link/vocab/ext/overdrive/overdriveId
- 1461459613
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)820469878
- Label
- Foundations of abstract analysis, Jewgeni H. Dshalalow
- 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
-
- Measures
- Integration in Abstract Spaces
- Part 3.
- Supplementary Materials
- Solutions to Selected Problems.9
- Part 1.
- Principles of Set Theory and Point-Set Topology
- Set-Theoretic and Algebraic Preliminaries
- Analysis of Metric Spaces
- Elements of Point-Set Topology
- Part 2.
- Measure Theory and Abstract Integration
- Measurable Spaces and Measurable Functions
- Control code
- 820469878
- Dimensions
- unknown
- Edition
- 2nd edition.
- Extent
- 1 online resource.
- File format
- unknown
- Form of item
- online
- Isbn
- 9781461459620
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4614-5962-0
- http://library.link/vocab/ext/overdrive/overdriveId
- 1461459613
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)820469878
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Foundations-of-abstract-analysis-Jewgeni-H./WvRLBmd5q_s/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Foundations-of-abstract-analysis-Jewgeni-H./WvRLBmd5q_s/">Foundations of abstract analysis, Jewgeni H. Dshalalow</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
