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Combinatorial proofs of Cappelli's and Turnbull's identities from classical invariant theory

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The Princeton Companion to Mathematics
Authors: --- --- --- --- --- et al.
ISBN: 9780691118802 0691118809 9781400830398 9786612767197 1849726957 1400830397 1282767194 6612767197 9781282767195 Year: 2010 Publisher: Princeton, NJ

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This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.

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