LEADER 04363nam 22006495 450 001 9910299763303321 005 20200702052337.0 010 $a3-319-12772-1 024 7 $a10.1007/978-3-319-12772-9 035 $a(CKB)3710000000404009 035 $a(SSID)ssj0001501590 035 $a(PQKBManifestationID)11830242 035 $a(PQKBTitleCode)TC0001501590 035 $a(PQKBWorkID)11441094 035 $a(PQKB)11357042 035 $a(DE-He213)978-3-319-12772-9 035 $a(MiAaPQ)EBC5595259 035 $a(MiAaPQ)EBC6315672 035 $a(Au-PeEL)EBL5595259 035 $a(OCoLC)910942588 035 $a(PPN)185490174 035 $a(EXLCZ)993710000000404009 100 $a20150408d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Analysis I /$fby Claudio Canuto, Anita Tabacco 205 $a2nd ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XI, 492 p.) 225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v84 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-12771-3 320 $aIncludes indexes. 327 $a1 Basic notions -- 2 Functions -- 3 Limits and continuity I -- 4 Limits and continuity II -- 5 Local comparison of functions. Numerical sequences and series -- 6 Differential calculus -- 7 Taylor expansions and applications -- 8 Geometry in the plane and in space -- 9 Integral calculus I -- 10 Integral calculus II -- 11 Ordinary differential equations -- 12 A.1 The Principle of Mathematical Induction -- 13 A.2 Complements on limits and continuity.- 14 A.3 Complements on the global features of continuous maps -- 15 A.4 Complements on differential calculus -- 16 A.5 Complements on integral calculus -- 17 Tables and Formulas. 330 $aThe purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of the material contained in the appendices, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a first course of Mathematics. 410 0$aLa Matematica per il 3+2,$x2038-5722 ;$v84 606 $aPartial differential equations 606 $aDifferential equations 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 615 0$aPartial differential equations. 615 0$aDifferential equations. 615 14$aPartial Differential Equations. 615 24$aOrdinary Differential Equations. 676 $a515 700 $aCanuto$b Claudio$4aut$4http://id.loc.gov/vocabulary/relators/aut$027500 702 $aTabacco$b Anita$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299763303321 996 $aMathematical Analysis I$92544352 997 $aUNINA