Multidimensional Differential and Integral Calculus
A Practical Approach
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Beschreibung
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.
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.
Highlights the role of Green’s formulae in the integration of multivariate functions on 2D surfaces in 3D space Includes more than a hundred worked problems and tenths of proposed exercises Provides an unusually detailed presentation of PDEs, emphasizing the importance and properties of specific type
Autor*in
Giorgio Riccardi
Themen in »Multidimensional Differential and Integral Calculus«
Mathematical Analysis for Engineers Integral Calculus partial differential equations Vector functions Differential Calculus Taylor series