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024 7 $a10.1007/978-3-031-67784-7
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200 10$aSelected Topics in Mathematical Analysis $eReal Number System ? Recurrences ? Asymptotic Analysis ? Integration in Finite Terms /$fby Liviu C. Florescu
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2024.
215   $a1 online resource (226 pages)
225 1 $aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
311 08$aPrint version: Florescu, Liviu C. Selected Topics in Mathematical Analysis Cham : Birkhäuser Boston,c2024 9783031677830 
327   $a- Real Number System -- Recurrences -- Elements of Asymptotic Analysis -- Integration in Finite Terms.
330   $aThis book presents four topics related to undergraduate courses, typically not covered in standard lectures. Written in a clear and careful style, these four ?pearls? aim at complementing and deepening the knowledge of students and instructors by presenting a variety of techniques and useful methods. The first chapter provides a detailed discussion of real numbers, the foundation of any mathematical construction. Chapter two of the book is dedicated to the study of sequences defined by recurrence relations. The third chapter explores certain problems in asymptotic analysis, and the final chapter of the book discusses mathematical results related to ?Integration in Finite Terms?. Each chapter of the book is accompanied by its respective bibliography. The book is intended for readers with a level of maturity typically attained after completing a bachelor?s degree in mathematics.
410  0$aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
606   $aAlgebraic fields
606   $aPolynomials
606   $aDifference equations
606   $aFunctional equations
606   $aFunctions of real variables
606   $aApproximation theory
606   $aField Theory and Polynomials
606   $aDifference and Functional Equations
606   $aReal Functions
606   $aApproximations and Expansions
615  0$aAlgebraic fields.
615  0$aPolynomials.
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aFunctions of real variables.
615  0$aApproximation theory.
615 14$aField Theory and Polynomials.
615 24$aDifference and Functional Equations.
615 24$aReal Functions.
615 24$aApproximations and Expansions.
676   $a512.3
700   $aFlorescu$b Liviu C$01195589
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910906298103321
996   $aSelected Topics in Mathematical Analysis$94289554
997   $aUNINA