Differential Calculus and Its Applications - Brossura

Field, Michael J.

Brossura

ISBN 10: 048649795X ISBN 13: 9780486497952

Casa editrice: Dover Pubns, 2013

Riassunto

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.

Su questo libro

Recensione

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. Reprint of the Van Nostrand Reinhold Company, New York, 1976 edition.

L'autore

Michael J. Field was a longtime faculty member at England's Warwick University. His research interests include singularity theory, complex analysis, and dynamical systems.

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2013
• ISBN 10: 048649795X
• ISBN 13: 9780486497952
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 315