LEADER 04091nam 22006255 450 001 9910768462703321 005 20240626180950.0 010 $a3-662-67809-8 024 7 $a10.1007/978-3-662-67809-1 035 $a(MiAaPQ)EBC30970225 035 $a(Au-PeEL)EBL30970225 035 $a(DE-He213)978-3-662-67809-1 035 $a(CKB)29038594500041 035 $a(EXLCZ)9929038594500041 100 $a20231124d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFoundations of Mathematics: A Preparatory Course /$fby Guido Walz, Frank Zeilfelder, Thomas Rießinger 205 $a1st ed. 2023. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2023. 215 $a1 online resource (450 pages) 311 08$aPrint version: Walz, Guido Foundations of Mathematics: a Preparatory Course Berlin, Heidelberg : Springer Berlin / Heidelberg,c2023 327 $aIntroduction and preface -- Elementary methods of calculation -- Fundamentals of functions -- Equations and inequalities -- Geometry -- Introduction to linear algebra -- Differential and integral calculus -- Fundamentals of probability -- Descriptive statistics -- Complex numbers -- Collection of formulas -- Solutions to the exercises -- Literature -- Index. 330 $aThis book spares you the entry-level problems of mathematics by entertainingly building a bridge that gently guides you over any shoals and into the heart of college mathematics. The bridge starts on one side with simple number crunching, as you probably encountered it in middle school, and takes you across to the basics of linear algebra, differential calculus, and probability, which will be the main content of your first few semesters. You will always face this content there, and when dealing with it you can then say with confidence, "I know it already!" The authors have succeeded in writing a mathematics book for students of all disciplines and continuing professional education that is easy to read from cover to cover without getting lost in formalism or humorless dryness, but that nevertheless left you with the necessary knowledge and technical confidence after reading it. Each chapter is accompanied by exercises that can be used to practice and reinforce the content taught. This book is a translation of the original German edition Brückenkurs Mathematik by Guido Walz, Frank Zeilfelder and Thomas Rießinger, 4th edition, published by Springer-Verlag GmbH, DE in 2014. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Voices to the 1st edition 'At last, an engaging, successful preparatory course that accurately highlights the elementary but essential basic concepts.' Priv.-Doz. Dr. Frank Hettlich, University of Karlsruhe 'Easy to read and compile work that is very convincing due to its entertaining nature.' Prof. Dr. Sax Kreutz, University of Applied Sciences, Hamburg. 606 $aMathematics 606 $aMathematical analysis 606 $aAlgebras, Linear 606 $aMathematics 606 $aAnalysis 606 $aLinear Algebra 606 $aÀlgebra lineal$2thub 606 $aAnàlisi matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics. 615 0$aMathematical analysis. 615 0$aAlgebras, Linear. 615 14$aMathematics. 615 24$aAnalysis. 615 24$aLinear Algebra. 615 7$aÀlgebra lineal 615 7$aAnàlisi matemàtica 676 $a510 700 $aWalz$b Guido$0853922 701 $aZeilfelder$b Frank$01456258 701 $aRießinger$b Thomas$01158848 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910768462703321 996 $aBrückenkurs Mathematik$94168218 997 $aUNINA