04010nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118040002500153050001600178072001600194072002300210072001500233082001200248100007800260245008800338264003700426300003400463336002600497337002600523338003600549347002400585490002900609505033500638520143400973650003502407650002502442650002402467650002502491650002802516650003702544650008502581650009602666650009502762650011802857650010802975650010703083700007703190710003403267773002003301776003603321776003603357830002903393856004603422978-88-470-0876-2DE-He21320181204133008.0cr nn 008mamaa100301s2008 it | s |||| 0|eng d a97888470087627 a10.1007/978-88-470-0876-22doi aISI Library, Kolkata 4aQA299.6-433 7aPBK2bicssc 7aMAT0340002bisacsh 7aPBK2thema04a5152231 aCanuto, Claudio.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aMathematical Analysis Ih[electronic resource] /cby Claudio Canuto, Anita Tabacco. 1aMilano :bSpringer Milan,c2008. aXII, 433 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aUniversitext,x0172-59390 aBasic notions -- Functions -- Limits and continuity I -- Limits and continuity II -- Local comparison of functions. Numerical sequences and series -- Differential calculus -- Taylor expansions and applications -- Geometry in the plane and in space -- Integral calculus I -- Integral calculus II -- Ordinary differential equations. aThe purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level consists of links to online material, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution. 0aGlobal analysis (Mathematics). 0aFunctional analysis. 0aIntegral equations. 0aIntegral Transforms. 0aDifferential Equations. 0aDifferential equations, partial.14aAnalysis.0http://scigraph.springernature.com/things/product-market-codes/M1200724aFunctional Analysis.0http://scigraph.springernature.com/things/product-market-codes/M1206624aIntegral Equations.0http://scigraph.springernature.com/things/product-market-codes/M1209024aIntegral Transforms, Operational Calculus.0http://scigraph.springernature.com/things/product-market-codes/M1211224aOrdinary Differential Equations.0http://scigraph.springernature.com/things/product-market-codes/M1214724aPartial Differential Equations.0http://scigraph.springernature.com/things/product-market-codes/M121551 aTabacco, Anita.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978884701318608iPrinted edition:z9788847008755 0aUniversitext,x0172-593940uhttps://doi.org/10.1007/978-88-470-0876-2