Differential Calculus in Normed Linear Spaces (Texts and Readings in Mathematics) - Hardcover

Makherjea, Kalyan

Hardcover

ISBN 10: 8185931437 ISBN 13: 9788185931432

Verlag: Hindustan Book Agency, 2003

Inhaltsangabe

This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces. Not only does this lead to a simplified and transparent exposition of "difficult" results like the Inverse and Implicit Function Theorems but also permits, without any extra effort, a discussion of the Differential Calculus of functions defined on infinite dimensional Hilbert or Banach spaces.
The prerequisites demanded of the reader are modest: a sound understanding of convergence of sequences and series of real numbers, the continuity and differentiability properties of functions of a red variable and a little Linear Algebra should provide adequate background for understanding the book.

Details zur Ausgabe

• Verlag: Hindustan Book Agency
• Erscheinungsdatum: 2003
• Sprache: Englisch
• ISBN 10: 8185931437
• ISBN 13: 9788185931432
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 304
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar