Differential Calculus and Its Applications (Dover Books on Mathematics) - Softcover

Field, Prof. Michael J.

Softcover

ISBN 10: 048649795X ISBN 13: 9780486497952

Publisher: Dover Publications, 2012

Synopsis

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.

About this title

About the Author

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

Edition details

• Publisher: Dover Publications
• Publication date: 2012
• Language: English
• ISBN 10: 048649795X
• ISBN 13: 9780486497952
• Binding: Paperback
• Number of pages: 336