United Kingdom
France
Germany
Netherlands
Sweden
USA
Italy
Spain
More From Contributor
Introduction To Tensor Analysis And The Calculus Of Moving Surfaces
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces which is an extension of tensor calculus to deforming manifolds Designed for advanced undergraduate and graduate students this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus Once the framework is mastered the student is introduced to new material which includes differential geometry on manifolds shape optimization boundary perturbation and dynamic fluid film equations The language of tensors originally championed by Einstein is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak The tensor technique invented
at the turn of the 20th century is now considered classical Yet as the author shows it remains remarkably vital and relevant The author's skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises A great deal of material is devoted to the geometric fundamentals the mechanics of change of variables the proper use of the tensor notation and the discussion of the interplay between algebra and geometry The early chapters have many words and few equations The definition of a tensor comes only in Chapter 6 - when the reader is ready for it While this text maintains a consistent level of rigor it takes great care to avoid formalizing the subject The last part of the textbook is devoted to the Calculus of Moving Surfaces It is the first textbook
exposition of this important technique and is one of the gems of this text A number of exciting applications of the calculus are presented including shape optimization boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years Furthermore the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem
at the turn of the 20th century is now considered classical Yet as the author shows it remains remarkably vital and relevant The author's skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises A great deal of material is devoted to the geometric fundamentals the mechanics of change of variables the proper use of the tensor notation and the discussion of the interplay between algebra and geometry The early chapters have many words and few equations The definition of a tensor comes only in Chapter 6 - when the reader is ready for it While this text maintains a consistent level of rigor it takes great care to avoid formalizing the subject The last part of the textbook is devoted to the Calculus of Moving Surfaces It is the first textbook
exposition of this important technique and is one of the gems of this text A number of exciting applications of the calculus are presented including shape optimization boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years Furthermore the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem
Product Description
Reviews/Comments
Add New
Vouchers
No voucher codes found.
Do you know a voucher code for this product or supplier? Add it to Insights for others to use.
Do you know a voucher code for this product or supplier? Add it to Insights for others to use.
Denmark