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Title Calculus of Variations
Alternative Title Λογισμός Μεταβολών
Author Βαρδάκης, Δημήτρης
Thesis advisor Τερτίκας, Αχιλλέας
Abstract The present work is the result of the traineeship program of the Mathematics & Applied Mathematics Department of the University of Crete the writer has participated during the summer of the year 2015. The traineeship was conducted under the carrier Foundation for Research & Technology (FORTH) which assigned as supervisor of the project the professor of the Mathematics & Applied Mathematics Department, Achilles K. Tertikas, who is a collaborator of the carrier working under the Institute of Applied & Computational Mathematics. The purpose of the traineeship was the study of the book Introduction to the Calculus of Variations by Bernard Dacorogna (published by Imperial College Press in 2004) and in turn the composition of a work with the same subject. Based on the above book, this piece of writing follows the same structure and "storyline". It aims to provide a detailed presentation of the subject and hopes to help the reader understand the essence of the theory as well as to elucidate and eventually surmount the technical difficulties one may encounter. The writer hopes that the lack of illustrative examples will not be a hindrance to the study and the understanding of this delicate theory. For extra exercises and for further analysis and applications of the theory presented here one should refer to the book of B. Dacorogna. I have to thank professor Tertikas for all the time he spent listening to my thoughts and answering my questions. I believe his efforts prevented a great deal of misunderstandings that I would otherwise have made. However, being the work of a human, this essay is bound to have omissions, vagueness and mistakes. I apologize for any inaccurate or false results for which I shall bare full responsibility.
Language English
Issue date 2015-09-30
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Various
  Type of Work--Various
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