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010   $a3-031-37913-6
010   $a9783031379130$b(ebook)
024 7 $a10.1007/978-3-031-37913-0
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035   $a(Au-PeEL)EBL30874610
035   $a(DE-He213)978-3-031-37913-0
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100   $a20231107h20232023  uy         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeometric analysis on real analytic manifolds /$fAndrew D. Lewis
210  1$aCham :$cSpringer,$d[2023]
210  4$dŠ2023
215   $a1 online resource (323 pages)
225 1 $aLecture notes in mathematics,$x1617-9692 ;$vvolume 2333
311 08$aPrint version: Lewis, Andrew D. Geometric Analysis on Real Analytic Manifolds Cham : Springer International Publishing AG,c2023 9783031379123 
320   $aIncludes bibliographical references and index.
330   $aThis monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the book is a variety of descriptions for the topologies for the space of real analytic sections of a real analytic vector bundle and for the space of real analytic mappings between real analytic manifolds. Among the various descriptions for these topologies is a development of geometric seminorms for the space of real analytic sections. To illustrate the techniques in the book, a number of fundamental constructions in differential geometry are shown to induce continuous mappings on spaces of real analytic sections and mappings. Aimed at researchers at the level of Doctoral students and above, the book introduces the reader to the challenges and opportunities of real analytic analysis and geometry.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v2333.
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aGeometry, Differential
606   $aGlobal Analysis and Analysis on Manifolds
606   $aDifferential Geometry
606   $aAnālisi global (Matemātica)$2thub
606   $aVarietats (Matemātica)$2thub
606   $aGeometria diferencial$2thub
608   $aLlibres electrōnics$2thub
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615  0$aGeometry, Differential.
615 14$aGlobal Analysis and Analysis on Manifolds.
615 24$aDifferential Geometry.
615  7$aAnālisi global (Matemātica)
615  7$aVarietats (Matemātica)
615  7$aGeometria diferencial
676   $a514.74
700   $aLewis$b Andrew D.$0721268
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996565864603316
996   $aGeometric Analysis on Real Analytic Manifolds$93600382
997   $aUNISA