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4.8
14 reviewsThis is a textbook that is born with the objective of providing a first, basic reference for three important areas of Applied Analysis that are difficult to separate because of their many interconnections; yet they have their own personality, and each has grown to become an independent area of very live research. Those three areas occur in the title of the book. There is, at least, a fourth one, Partial Differential Equations (PDEs), which is also quite close to those other three but has such a strong temperament, and attract so much attention, that there are many popular and fundamental references to cover this field in connection with the others. Though there is no reasonable way to avoid talking about PDEs in this text, our intention is to focus on variational methods and techniques, since there are many more references to cover PDEs. In particular, the popular textbook Functional Analysis, Sobolev Spaces and Partial Differential by Haim Brezis has been an inspiration for us.
