02920nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001700153050001400170072001600184072002300200072001500223100008000238245018700318250001800505264007300523300006100596336002600657337002600683338003600709347002400745490006400769505010700833520090400940650002201844650001701866650002601883650002601909650003301935650002601968650003401994650004102028650002002069650003502089710003402124773002602158776003602184776003602220776003602256830006402292856004602356978-3-031-67784-7DE-He21320251030113302.0cr nn 008mamaa241108s2024    sz |    s    |||| 0|eng d  a97830316778477 a10.1007/978-3-031-67784-72doi 4aQA247-247.45 4aQA161.P59 7aPBF2bicssc 7aMAT0020102bisacsh 7aPBF2thema1 aFlorescu, Liviu C.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aSelected Topics in Mathematical Analysish[electronic resource] :bReal Number System – Recurrences – Asymptotic Analysis – Integration in Finite Terms /cby Liviu C. Florescu.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aX, 217 p. 5 illus., 1 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aBirkhäuser Advanced Texts Basler Lehrbücher,x2296-48940 a- Real Number System -- Recurrences -- Elements of Asymptotic Analysis -- Integration in Finite Terms.  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. 0aAlgebraic fields. 0aPolynomials. 0aDifference equations. 0aFunctional equations. 0aFunctions of real variables. 0aApproximation theory.14aField Theory and Polynomials.24aDifference and Functional Equations.24aReal Functions.24aApproximations and Expansions.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303167783008iPrinted edition:z978303167785408iPrinted edition:z9783031677861 0aBirkhäuser Advanced Texts Basler Lehrbücher,x2296-489440uhttps://doi.org/10.1007/978-3-031-67784-7