Calculus of Variations

The textbook "Calculus of Variations" offers a comprehensive introduction to both classical and modern variational calculus. It is aimed at advanced students as well as researchers, serving as both a textbook for lectures and a valuable reference for self-study. The author, Filip Rindler, begins with motivating examples and covers the essential aspects of classical theory, including the direct method, the Euler-Lagrange equation, and Noether's theorem. As the book progresses, modern topics such as the vector theory of integral functionals and their properties are discussed. The book is structured to be suitable for both classroom instruction and seminars, and it assumes a fundamental knowledge of vector analysis, functional analysis, and measure theory, which are reviewed in the appendix.