Differential Calculus and Its Applications (ePub)
(Sprache: Englisch)
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...
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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.
Autoren-Porträt von Michael J. Field
Michael J. Field was a longtime faculty member at England's Warwick University. His research interests include singularity theory, complex analysis, and dynamical systems.
Bibliographische Angaben
- Autor: Michael J. Field
- 2013, Englisch
- Verlag: Dover Publications
- ISBN-10: 0486298841
- ISBN-13: 9780486298849
- Erscheinungsdatum: 10.04.2013
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- Dateiformat: ePub
- Größe: 11 MB
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- Vorlesefunktion
Sprache:
Englisch
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