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Differential Calculus and Its Applications
This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. Suitable for advanced undergraduate courses in pure and applied mathematics, it forms the basis for graduate-level courses in advanced calculus and differential manifolds.
Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.
Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.
Reprint of the Van Nostrand Reinhold Company, Limited, New York and London, 1976 edition.
graduate course preparation; undergraduate advanced calculus; linear algebra; point set topology; soft functional analysis; sub manifolds of euclidean space; differential equations; finite dimensional linear algebra; modern differentiation techniques; theory and application; normed vector spaces; implicit function theorems;Â Linear Algebra; normed vector spaces; calculus on vector spaces; inverse and implicit function theorems; differenial manifolds$15.95
Differential Calculus and Its Applications—
$15.95
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Description
This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. Suitable for advanced undergraduate courses in pure and applied mathematics, it forms the basis for graduate-level courses in advanced calculus and differential manifolds.
Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.
Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.
Reprint of the Van Nostrand Reinhold Company, Limited, New York and London, 1976 edition.
graduate course preparation; undergraduate advanced calculus; linear algebra; point set topology; soft functional analysis; sub manifolds of euclidean space; differential equations; finite dimensional linear algebra; modern differentiation techniques; theory and application; normed vector spaces; implicit function theorems;Â Linear Algebra; normed vector spaces; calculus on vector spaces; inverse and implicit function theorems; differenial manifolds
