Brasco L. Handbook of Calculus of Variations for Absolute Beginners 2025
Download this torrent!
Brasco L. Handbook of Calculus of Variations for Absolute Beginners 2025
To start this P2P download, you have to install a BitTorrent client like qBittorrent
Category: Other
Total size: 8.06 MB
Added: 3 weeks ago (2025-08-19 10:12:01)
Share ratio: 60 seeders, 0 leechers
Info Hash: 8FDAB491C6463D98B0AA4B2F20D2FC9B57D46E42
Last updated: 51 minutes ago (2025-09-13 13:43:11)
Description:
Textbook in PDF format
The book aims at endowing any student with a survival toolkit to start safely diving into the realm of Calculus of Variations. In summary, the latter is a part of mathematical analysis devoted to minimization/maximization problems. A great effort has been made to present the themes and methods considered in the book in the simplest possible way: the reader will not find here general statements or proofs based on general abstract theories. In contrast, the main focus of the book is on introducing some key concepts "from scratch", by means of simple and meaningful explicit examples (including for instance, the classical isoperimetric and brachistocrone problems, as well as the boundary value problem for harmonic functions). In particular, the book is mainly (but not exclusively) designed to smoothly introduce the reader to the so-called Direct Method of the Calculus of Variations, which is a central concept in the field. Accordingly, a good part of the book is devoted to discussing spaces of weakly differentiable functions (i.e., Sobolev and Lipschitz functions), which are essential tools of the Direct Method