Multidimensional Differential and Integral Calculus A Practical Approach /

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 cov...

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Bibliographic Details
Main Authors: Riccardi, Giorgio (Author), Cifra, Bruno Antonio (Author), De Bernardis, Enrico (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edition:1st ed. 2024.
Subjects:
Online Access:https://doi.org/10.1007/978-3-031-70326-3
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245 1 0 |a Multidimensional Differential and Integral Calculus  |h [electronic resource] :  |b A Practical Approach /  |c by Giorgio Riccardi, Bruno Antonio Cifra, Enrico De Bernardis. 
250 |a 1st ed. 2024. 
264 1 |a Cham :  |b Springer Nature Switzerland :  |b Imprint: Springer,  |c 2024. 
300 |a 1 online resource (XII, 275 p. 43 illus.).  |b 37 illus. in color. 
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505 0 |a 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... 
520 |a 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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
532 8 |a Inaccessible, or known limited accessibility 
532 8 |a No reading system accessibility options actively disabled 
532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
588 |a Print version record. 
650 0 |a Differential equations. 
650 0 |a Engineering mathematics. 
650 0 |a Mathematical analysis. 
650 1 4 |a Differential Equations. 
650 2 4 |a Engineering Mathematics. 
650 2 4 |a Integral Transforms and Operational Calculus. 
700 1 |a Cifra, Bruno Antonio.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a De Bernardis, Enrico.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)