Multivariable Mathematics combines linear algebra and multivariable calculus in a rigorous approach. The material is integrated to emphasize the role of linearity in all of calculus and the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author addresses all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible and also including complete proofs. By emphasizing the theoretical aspects and reviewing the linear algebra material quickly, the book can also be used as a text for an advanced calculus or multivariable analysis course culminating in a treatment of manifolds, differential forms, and the generalized Stokes’s Theorem.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs.
∗ Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts.
∗ Numerous exercises of varying levels of difficulty, both computational and more proof–oriented.
∗ Exercises are arranged in order of increasing difficulty.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.