This text provides a clear concise introduction to the calculus of variations.
The introduction chapter provides a general sense of the subject through a
discussion of several classical and contemporary examples of the subject's use.
In the second chapter the all-important Euler differential is dereived and the
Lemma of Du Bois-Reymond is established. Other basic terminology is introduced
and the underlying theory, which will later be extended smoothly to more complex
problems, is developed. Chapters 3 through 6 are devoted to the crucial topics
of necessary and sufficient conditions. The remainder of the text extends the
concepts of the first half of hte book to problems involving