Topological Nonlinear Analysis: Degree, Singularity, and

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The first part covers the basics of Banach spaces theory with the emphasis on its applications. We are rated as one of the TOP 25 Mathematics departments in the UK, and are within the top third in the world [QS World University Rankings 2015] Disclaimer: Module selection options may change. Most commonly known are those in science, economics or engineering, where, for example, Einstein invented the general theory of relativity by applying methods from differential geometry to the structure of space and time; Arrow probed the limits of democracy as an institution by calculating the probabilities that decisions cannot be reached on purely rational terms; Black, Sholes and Merton wrote down a fundamental formula for the price of an option, by applying the theory of random walks to the stock market; Shannon characterized an information source in mathematical terms, and in so doing laid the quantitative basis for modern information technology.

Pages: 531

Publisher: Birkhäuser; 1995 edition (December 13, 1994)

ISBN: 0817637427

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