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020 _a9783031703263
_9978-3-031-70326-3
024 7 _a10.1007/978-3-031-70326-3
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
100 1 _aRiccardi, Giorgio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987133
245 1 0 _aMultidimensional Differential and Integral Calculus
_h[electronic resource] :
_bA Practical Approach /
_cby Giorgio Riccardi, Bruno Antonio Cifra, Enrico De Bernardis.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXII, 275 p. 43 illus., 37 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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...
520 _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.
650 0 _aDifferential equations.
650 0 _aEngineering mathematics.
_964145
650 0 _aMathematical analysis.
_964178
650 1 4 _aDifferential Equations.
650 2 4 _aEngineering Mathematics.
_964145
650 2 4 _aIntegral Transforms and Operational Calculus.
_967269
700 1 _aCifra, Bruno Antonio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987134
700 1 _aDe Bernardis, Enrico.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987135
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031703256
776 0 8 _iPrinted edition:
_z9783031703270
856 4 0 _uhttps://doi.org/10.1007/978-3-031-70326-3
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c64767
_d64767