Practical Guide to the Invariant Calculus - An Introduction to Theory and Applications

Informationen zum Autor Elizabeth Louise Mansfield is Professor of Mathematics at the University of Kent, Canterbury. Klappentext Moving frames explained in the language of undergraduate calculus, suitable for graduate students. Zusammenfassung This book explains and develops new applications of continuous symmetry groups (Lie groups)! in particular! the symbolic manipulation of invariants of group actions. The language used is primarily that of undergraduate calculus. More sophisticated ideas from differential topology and Lie theory are explained from scratch using worked examples and exercises. Inhaltsverzeichnis Preface; Introduction to invariant and equivariant problems; 1. Actions galore; 2. Calculus on Lie groups; 3. From Lie group to Lie algebra; 4. Moving frames; 5. On syzygies and curvature matrices; 6. Invariant ordinary differential equations; 7. Variational problems with symmetry; References; Index.

Product details

• Authors: Elizabeth Mansfield, Elizabeth L. Mansfield, Elizabeth Louise Mansfield, Elizabeth Louise (University of Kent Mansfield
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Hardback
• Released: 29.04.2010
• EAN: 9780521857017
• ISBN: 978-0-521-85701-7
• Dimensions: 159 mm x 235 mm x 18 mm
• Series: Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie; Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous