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By Graeme L. Cohen

Designed for one-semester classes on the senior undergraduate point, this 2003 booklet will entice arithmetic undergraduates, to arithmetic academics, and to others who have to research a few mathematical research to be used in different parts reminiscent of engineering, physics, biology or finance. themes reminiscent of completeness and compactness are approached at first via convergence of sequences in metric house, and the emphasis is still in this method. although, the choice topological method is defined in a separate bankruptcy. this offers the ebook extra flexibility, making it specifically valuable as an creation to extra complex components akin to sensible research. Nominal divisions of natural and utilized arithmetic were merged, leaving sufficient for college kids of both inclination to have a sense for what extra advancements may seem like. functions were integrated from such fields as differential and vital equations, platforms of linear algebraic equations, approximation concept, numerical research and quantum mechanics.

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