"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held rep…
"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held rep…
"The present book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach, which is the dominant trend in the modern mathematical literature of this subject ... The book is prepared, to some ex…
"The present book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach, which is the dominant trend in the modern mathematical literature of this subject ... The book is prepared, to some ex…
"The present book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach, which is the dominant trend in the modern mathematical literature of this subject ... The book is prepared, to some ex…
This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. It treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint, by …
The authors treat the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Lie-group symmetries. The book includes an appendix, containing both introductory examples …
Advanced undergraduate and graduate students in mathematics, physics and engineering.