Differential Calculus and its Applications (Dover Books on Mathema 1.4tics) - Softcover

Field, Field

Softcover

ISBN 10: 048649795X ISBN 13: 9780486497952

Verlag: Dover Publications Inc., 2013

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2013
• ISBN 10: 048649795X
• ISBN 13: 9780486497952
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 336
• Kontakt zum Hersteller: Nicht verfügbar