The calculus of variations, which plays an important role in both pure and applied mathematics, dates from the time of Newton. Development of the subject started mainly with the work of Euler and Lagrange in the eighteenth century and still continues. This course, which for most students begins the MSc in Mathematics programme, develops the theory of the calculus of variations. It also introduces other topics including the calculus of functions of several real variables; and ideas of convergence, particularly of sequences of functions and normed vector spaces - a working knowledge of which is required both in this and other modules in the MSc in Mathematics programme.
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