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024 7 $a10.1007/978-981-16-8383-1
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035   $a(CKB)21403472000041
035   $a(PPN)26152447X
035   $a(OCoLC)1304243896
035   $a(DE-He213)978-981-16-8383-1
035   $a(EXLCZ)9921403472000041
100   $a20220315d2022      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFundamentals of Analysis with Applications /$fby Atul Kumar Razdan, V. Ravichandran
205   $a1st ed. 2022.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022.
215   $a1 online resource (491 pages)
225 1 $aMathematics and Statistics Series
311 08$aPrint version: Razdan, Atul Kumar Fundamentals of Analysis with Applications Singapore : Springer Singapore Pte. Limited,c2022 9789811683824 
320   $aIncludes bibliographical references and index.
327   $a1. Sets, Functions and Cardinality -- 2. The Real Numbers -- 3. Sequence and Series of Numbers -- 4. Analysis on R -- 5. Topology of the Real Line -- 6. Metric Spaces -- 7. Continuity and Differentiability -- 8. Sequences and Series of Functions -- 9. Lebesgue Integration -- 10. Fourier Series.
330   $aThis book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series. It is primarily focused on the applications of analytical methods to solving partial differential equations rooted in many important problems in mathematics, physics, engineering, and related fields. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering.
410  0$aMathematics and Statistics Series
606   $aMathematical analysis
606   $aFunctions of real variables
606   $aSet theory
606   $aSequences (Mathematics)
606   $aAlgebraic topology
606   $aFourier analysis
606   $aAnalysis
606   $aReal Functions
606   $aSet Theory
606   $aSequences, Series, Summability
606   $aAlgebraic Topology
606   $aFourier Analysis
615  0$aMathematical analysis.
615  0$aFunctions of real variables.
615  0$aSet theory.
615  0$aSequences (Mathematics)
615  0$aAlgebraic topology.
615  0$aFourier analysis.
615 14$aAnalysis.
615 24$aReal Functions.
615 24$aSet Theory.
615 24$aSequences, Series, Summability.
615 24$aAlgebraic Topology.
615 24$aFourier Analysis.
676   $a780
700   $aRazdan$b Atul Kumar$01426682
702   $aRaviccantiran?$b Vikkirava?n?t?i Vi.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910743213603321
996   $aFundamentals of analysis with applications$93558783
997   $aUNINA