03570nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001700167072002300184072001600207100008000223245016900303250001800472264006900490300006500559336002600624337002600650338003600676347002400712505108200736520077101818650002802589650002902617650002702646650002802673650002902701650005002730700008302780700008302863710003402946773002602980776003603006776003603042856004603078978-3-031-70326-3DE-He21320251030113301.0cr nn 008mamaa241107s2024    sz |    s    |||| 0|eng d  a97830317032637 a10.1007/978-3-031-70326-32doi 4aQA370-380 7aPBKJ2bicssc 7aMAT0070002bisacsh 7aPBKJ2thema1 aRiccardi, Giorgio.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aMultidimensional Differential and Integral Calculush[electronic resource] :bA Practical Approach /cby Giorgio Riccardi, Bruno Antonio Cifra, Enrico De Bernardis.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXII, 275 p. 43 illus., 37 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aChapter 1. Basic concepts and parametrisation of curves -- Chapter 2. Differential and geometric properties of curves -- Chapter 3. Curves in space: the Frenet frame -- Chapter 4. Functions of a vector variable -- Chapter 5. Continuity and differentiability of functions of a vector variable -- Chapter 6. Partial derivatives -- Chapter 7. Sequences of functions -- Chapter 8. Series of functions -- Chapter 9. Taylor series for functions of several variables -- Chapter 10. Applications of the Taylor series -- Chapter 11. Integration of functions of two variables -- Chapter 12. Samples of two-dimensional integration and change of variables -- Chapter 13. Two-dimensional integration and area of a surface -- Chapter 14. Vector functions of vector variables -- Chapter 15. Line integral and flux of vector functions -- Chapter 16. Triple integrals and coordinate changes -- Chapter 17. Green’s formulae for the integral calculus.-Chapter 18. Application of Green’s formulae -- Chapter 19. Gauss and Stokes theorems -- Chapter 20. Partial differential equations -- Etc...  aThis textbook proposes an informal access to the most important issues of multidimensional differential and integral calculus. The traditional style—characterized by listing definitions, theorems, and proofs—is replaced by a conversational approach, primarily oriented to applications. The topics covered, developing along the usual path of a textbook for undergraduate courses, are always introduced by thoroughly carried out examples. This drives the reader in building the capacity of properly use the theoretical tools to model and solve practical problems. To situate the contents within a historical perspective, the book is accompanied by a number of links to the biographies of all scientists mentioned as leading actors in the development of the theory. 0aDifferential equations. 0aEngineering mathematics. 0aMathematical analysis.14aDifferential Equations.24aEngineering Mathematics.24aIntegral Transforms and Operational Calculus.1 aCifra, Bruno Antonio.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut1 aDe Bernardis, Enrico.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303170325608iPrinted edition:z978303170327040uhttps://doi.org/10.1007/978-3-031-70326-3