LEADER 04115nam 22006495 450 001 9910299778603321 005 20251113182848.0 010 $a3-319-12757-8 024 7 $a10.1007/978-3-319-12757-6 035 $a(CKB)3710000000360280 035 $a(SSID)ssj0001452235 035 $a(PQKBManifestationID)11952152 035 $a(PQKBTitleCode)TC0001452235 035 $a(PQKBWorkID)11487700 035 $a(PQKB)10226035 035 $a(DE-He213)978-3-319-12757-6 035 $a(MiAaPQ)EBC6312468 035 $a(MiAaPQ)EBC5594758 035 $a(Au-PeEL)EBL5594758 035 $a(OCoLC)903048323 035 $a(PPN)184498392 035 $a(MiAaPQ)EBC1974117 035 $a(EXLCZ)993710000000360280 100 $a20150207d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Analysis II /$fby Claudio Canuto, Anita Tabacco 205 $a2nd ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIII, 559 p.) 225 1 $aLa Matematica per il 3+2,$x2038-5757 ;$v85 300 $aIncludes index. 311 08$a3-319-12756-X 327 $a1 Numerical series -- 2 Series of functions and power series -- 3 Fourier series -- 4 Functions between Euclidean spaces -- 5 Differential calculus for scalar functions -- 6 Differential calculus for vector-valued functions -- 7 Applying differential calculus -- 8 Integral calculus in several variables -- 9 Integral calculus on curves and surfaces -- 10 Ordinary differential equations -- 11 A.1 Complements on differential calculus -- 12 A.2 Complements on integral calculus -- 13 Basic definitions and formulas. 330 $aThe purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book?s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis. 410 0$aLa Matematica per il 3+2,$x2038-5757 ;$v85 606 $aDifferential equations 606 $aIntegral equations 606 $aDifferential Equations 606 $aIntegral Equations 615 0$aDifferential equations. 615 0$aIntegral equations. 615 14$aDifferential Equations. 615 24$aIntegral 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 $a9910299778603321 996 $aMathematical Analysis II$92543293 997 $aUNINA