Limits : A New Approach to Real Analysis, Beardon, F. 9781461268727 New<-

LimitsA New Approach to Real Analysis\nAuthor(s): Alan F. Beardon\nFormat: Paperback\nPublisher: Springer-Verlag New York Inc., United States\nImprint: Springer-Verlag New York Inc.\nISBN-13: 9781461268727, 978-1461268727\nSynopsis\nBroadly speaking, analysis is the study of limiting processes such as sum ming infinite series and differentiating and integrating functions, and in any of these processes there are two issues to consider; first, there is the question of whether or not the limit exists, and second, assuming that it does, there is the problem of finding its numerical value. By convention, analysis is the study oflimiting processes in which the issue of existence is raised and tackled in a forthright manner. In fact, the problem of exis tence overshadows that of finding the value; for example, while it might be important to know that every polynomial of odd degree has a zero (this is a statement of existence), it is not always necessary to know what this zero is (indeed, if.