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The Resource Basic Real Analysis, by Anthony W. Knapp, (electronic resource)
Basic Real Analysis, by Anthony W. Knapp, (electronic resource)
Resource Information
The item Basic Real Analysis, by Anthony W. Knapp, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Basic Real Analysis, by Anthony W. Knapp, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features of Basic Real Analysis: * Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equations * Subsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, pointset topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spaces * The subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developments * The development proceeds from the particular to the general, often introducing examples well before a theory that incorporates them * The text includes many examples and hundreds of problems, and a separate 55page section gives hints or complete solutions for most of the problems Basic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Basic Real Analysis make it a welcome addition to the personal library of every mathematician
 Language

 eng
 eng
 Edition
 1st ed. 2005.
 Extent
 1 online resource (674 p.)
 Note
 Description based upon print version of record
 Contents

 Theory of Calculus in One Real Variable
 Metric Spaces
 Theory of Calculus in Several Real Variables
 Theory of Ordinary Differential Equations and Systems
 Lebesgue Measure and Abstract Measure Theory
 Measure Theory for Euclidean Space
 Differentiation of Lebesgue Integrals on the Line
 Fourier Transform in Euclidean Space
 Lp Spaces
 Topological Spaces
 Integration on Locally Compact Spaces
 Hilbert and Banach Spaces
 Isbn
 9780817644413
 Label
 Basic Real Analysis
 Title
 Basic Real Analysis
 Statement of responsibility
 by Anthony W. Knapp
 Language

 eng
 eng
 Summary
 Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features of Basic Real Analysis: * Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equations * Subsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, pointset topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spaces * The subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developments * The development proceeds from the particular to the general, often introducing examples well before a theory that incorporates them * The text includes many examples and hundreds of problems, and a separate 55page section gives hints or complete solutions for most of the problems Basic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Basic Real Analysis make it a welcome addition to the personal library of every mathematician
 http://library.link/vocab/creatorName
 Knapp, Anthony W
 Dewey number
 515
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 XuE_clwVb9Y
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Cornerstones,
 http://library.link/vocab/subjectName

 Global analysis (Mathematics)
 Mathematics
 Fourier analysis
 Topology
 Differential Equations
 Analysis
 Measure and Integration
 Real Functions
 Fourier Analysis
 Topology
 Ordinary Differential Equations
 Label
 Basic Real Analysis, by Anthony W. Knapp, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 637638) and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Theory of Calculus in One Real Variable  Metric Spaces  Theory of Calculus in Several Real Variables  Theory of Ordinary Differential Equations and Systems  Lebesgue Measure and Abstract Measure Theory  Measure Theory for Euclidean Space  Differentiation of Lebesgue Integrals on the Line  Fourier Transform in Euclidean Space  Lp Spaces  Topological Spaces  Integration on Locally Compact Spaces  Hilbert and Banach Spaces
 Dimensions
 unknown
 Edition
 1st ed. 2005.
 Extent
 1 online resource (674 p.)
 Form of item
 online
 Isbn
 9780817644413
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/0817644415
 Specific material designation
 remote
 System control number

 (CKB)1000000000491955
 (EBL)1023624
 (OCoLC)811505332
 (SSID)ssj0000316443
 (PQKBManifestationID)11923478
 (PQKBTitleCode)TC0000316443
 (PQKBWorkID)10274883
 (PQKB)10478933
 (DEHe213)9780817644413
 (MiAaPQ)EBC1023624
 (EXLCZ)991000000000491955
 Label
 Basic Real Analysis, by Anthony W. Knapp, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 637638) and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Theory of Calculus in One Real Variable  Metric Spaces  Theory of Calculus in Several Real Variables  Theory of Ordinary Differential Equations and Systems  Lebesgue Measure and Abstract Measure Theory  Measure Theory for Euclidean Space  Differentiation of Lebesgue Integrals on the Line  Fourier Transform in Euclidean Space  Lp Spaces  Topological Spaces  Integration on Locally Compact Spaces  Hilbert and Banach Spaces
 Dimensions
 unknown
 Edition
 1st ed. 2005.
 Extent
 1 online resource (674 p.)
 Form of item
 online
 Isbn
 9780817644413
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/0817644415
 Specific material designation
 remote
 System control number

 (CKB)1000000000491955
 (EBL)1023624
 (OCoLC)811505332
 (SSID)ssj0000316443
 (PQKBManifestationID)11923478
 (PQKBTitleCode)TC0000316443
 (PQKBWorkID)10274883
 (PQKB)10478933
 (DEHe213)9780817644413
 (MiAaPQ)EBC1023624
 (EXLCZ)991000000000491955
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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