03936nam a22005295i 4500 978-3-031-70326-3 DE-He213 20251030113301.0 cr nn 008mamaa 241107s2024 sz | s |||| 0|eng d 9783031703263 978-3-031-70326-3 10.1007/978-3-031-70326-3 doi QA370-380 PBKJ bicssc MAT007000 bisacsh PBKJ thema Riccardi, Giorgio. author. aut http://id.loc.gov/vocabulary/relators/aut 87133 Multidimensional Differential and Integral Calculus [electronic resource] : A Practical Approach / by Giorgio Riccardi, Bruno Antonio Cifra, Enrico De Bernardis. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 275 p. 43 illus., 37 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Chapter 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... This 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. Differential equations. Engineering mathematics. 64145 Mathematical analysis. 64178 Differential Equations. Engineering Mathematics. 64145 Integral Transforms and Operational Calculus. 67269 Cifra, Bruno Antonio. author. aut http://id.loc.gov/vocabulary/relators/aut 87134 De Bernardis, Enrico. author. aut http://id.loc.gov/vocabulary/relators/aut 87135 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031703256 Printed edition: 9783031703270 https://doi.org/10.1007/978-3-031-70326-3 ZDB-2-SMA ZDB-2-SXMS 64767 64767