Modern Methods in the Calculus of Variations is popular PDF and ePub book, written by Irene Fonseca in 2007-08-22, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Modern Methods in the Calculus of Variations can be Read Online from any device for your convenience.
Modern Methods in the Calculus of Variations Book PDF Summary
This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.
Detail Book of Modern Methods in the Calculus of Variations PDF
- Author : Irene Fonseca
- Release : 22 August 2007
- Publisher : Springer Science & Business Media
- ISBN : 9780387690063
- Genre : Science
- Total Page : 600 pages
- Language : English
- PDF File Size : 11,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Modern Methods in the Calculus of Variations by Irene Fonseca, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.