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The Resource Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces, by Roger Godement, (electronic resource)
Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces, by Roger Godement, (electronic resource)
Resource Information
The item Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces, by Roger Godement, (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 Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces, by Roger Godement, (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
 Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchytype curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokestype formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a "canonical'' language and with some important theorems (change of variables in integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques. Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R)
 Language

 eng
 eng
 Edition
 1st ed. 2015.
 Extent
 1 online resource (VII, 321 p. 25 illus.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 VIII Cauchy Theory
 IX Multivariate Differential and Integral Calculus
 X The Riemann Surface of an Algebraic Function
 Isbn
 9783319160535
 Label
 Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces
 Title
 Analysis III
 Title remainder
 Analytic and Differential Functions, Manifolds and Riemann Surfaces
 Statement of responsibility
 by Roger Godement
 Language

 eng
 eng
 Summary
 Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchytype curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokestype formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a "canonical'' language and with some important theorems (change of variables in integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques. Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R)
 http://library.link/vocab/creatorName
 Godement, Roger
 Dewey number
 515.8
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 qKQw83SAdNk
 Image bit depth
 0
 Language note
 English
 LC call number
 QA331.5
 Literary form
 non fiction
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Real Functions
 Label
 Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces, by Roger Godement, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 VIII Cauchy Theory  IX Multivariate Differential and Integral Calculus  X The Riemann Surface of an Algebraic Function
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 1 online resource (VII, 321 p. 25 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319160535
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783319160535
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000404032
 (SSID)ssj0001501324
 (PQKBManifestationID)11830580
 (PQKBTitleCode)TC0001501324
 (PQKBWorkID)11522619
 (PQKB)10401167
 (DEHe213)9783319160535
 (EXLCZ)993710000000404032
 Label
 Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces, by Roger Godement, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 VIII Cauchy Theory  IX Multivariate Differential and Integral Calculus  X The Riemann Surface of an Algebraic Function
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 1 online resource (VII, 321 p. 25 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319160535
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783319160535
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000404032
 (SSID)ssj0001501324
 (PQKBManifestationID)11830580
 (PQKBTitleCode)TC0001501324
 (PQKBWorkID)11522619
 (PQKB)10401167
 (DEHe213)9783319160535
 (EXLCZ)993710000000404032
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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

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AnalysisIIIAnalyticandDifferential/NAKcwZ2COwY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AnalysisIIIAnalyticandDifferential/NAKcwZ2COwY/">Analysis III : Analytic and Differential Functions, Manifolds and Riemann Surfaces, by Roger Godement, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>