02890nam a22003735i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003600137040000900173100003000182245009100212264004600303300004500349336002600394337002600420338003600446347002400482490008000506505030500586520127000891650001702161650003502178650001702213650001402230710003402244773002002278776003602298830008002334856010202414978-0-387-78933-0DE-He21320260521092008.0cr nn 008mamaa110402s2009    xxu|    s    |||| 0|eng d  a9780387789330  a997803877893307 a10.1007/ 978-0-387-78933-02doi  cCICY1 aMuresan, Marian.eauthor.12aA Concrete Approach to Classical Analysish[electronic resource] /cby Marian Muresan. 1aNew York, NY :bSpringer New York,c2009.  aXVIII, 438p. 29 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,x1613-52370 aSets and Numbers -- Vector Spaces and Metric Spaces -- Sequences and Series -- Limits and Continuity -- Differential Calculus on R -- Integral Calculus on R -- Differential Calculus on R -- Double Integrals, Triple Integrals, and Line Integrals -- Constants -- Asymptotic and Combinatorial Estimates.  aMathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises. 0aMATHEMATICS. 0aGLOBAL ANALYSIS (MATHEMATICS).14aMATHEMATICS.24aANALYSIS.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387789323 0aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,x1613-523740uhttp://dx.doi.org/10.1007/ 978-0-387-78933-0zVer el texto completo en las instalaciones del CICY