LEADER 02926nam 22005415 450 001 9910728949803321 005 20240115164803.0 010 $a3-031-29075-5 024 7 $a10.1007/978-3-031-29075-6 035 $a(CKB)26810729800041 035 $a(MiAaPQ)EBC7254655 035 $a(Au-PeEL)EBL7254655 035 $a(OCoLC)1381709872 035 $a(DE-He213)978-3-031-29075-6 035 $a(BIP)088809150 035 $a(PPN)27061947X 035 $a(EXLCZ)9926810729800041 100 $a20230531d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElementary Functions /$fby Andrei Bourchtein, Ludmila Bourchtein 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (488 pages) 311 $a9783031290749 320 $aIncludes bibliographical references and index. 330 $aThis textbook focuses on the study of different kinds of elementary functions ubiquitous both in high school Algebra and Calculus. To analyze the functions ranging from polynomial to trigonometric ones, it uses rudimentary techniques available to high school students, and at the same time follows the mathematical rigor appropriate for university level courses. Contrary to other books of Pre-Calculus, this textbook emphasizes the study of elementary functions with rigor appropriate for university level courses in mathematics, although the exposition is confined to the pre-limit topics and techniques. This makes the book useful, on the one hand, as an introduction to mathematical reasoning and methods of proofs in mathematical analysis, and on the other hand, as a preparatory course on the properties of different kinds of elementary functions. The textbook is aimed at university freshmen and high-school students interested in learning strict mathematical reasoning and in preparing a solid base for subsequent study of elementary functions at advanced level of Calculus and Analysis. The required prerequisites correspond to the level of the high school Algebra. All the preliminary concepts and results related to the elementary functions are covered in the initial part of the text. This makes the textbook suitable for both classroom use and self-study. . 606 $aMathematical analysis 606 $aAnalysis 606 $aAnàlisi matemàtica$2thub 608 $aLlibres electrònics$2thub 610 $aMathematics 615 0$aMathematical analysis. 615 14$aAnalysis. 615 7$aAnàlisi matemàtica 676 $a515 700 $aBourchtein$b Andrei$01051999 702 $aBourchtein$b Ludmila 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910728949803321 996 $aElementary functions$93554482 997 $aUNINA