The mathematical universe: An alphabetical journey through by William Dunham

By William Dunham

"If you need to inspire anyone's curiosity in math, get them The Mathematical Universe...it is spell binding to learn. "––New Scientist

"A interesting number of essays that contact each side of the heritage of arithmetic, this can be certain to be one of many biggest of the crown jewels of well known mathematics."––Journal of leisure Mathematics

Now in paper!

This enticing expedition from the acclaimed writer of Journey via Genius deals a unprecedented profile of the nice proofs, conundrums, disputes, and recommendations that experience formed the area of arithmetic. Alphabetically prepared from Arithmetic to Zero, this travel possibilities upon every thing from the antics of the struggling with Bernoulli brothers to the wonders of Fibonacci sequence to the quandry of Russell's Paradox.

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WILLIAM DUNHAM, PhD, (Allentown, Pennsylvania) teaches math at Muhlenberg university. he's the writer of Journey via Genius (Wiley).

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A short account of the history of mathematics by W. W. Rouse Ball

By W. W. Rouse Ball

This article continues to be one of many clearest, so much authoritative and such a lot exact works within the box. the normal heritage treats hundreds of thousands of figures and faculties instrumental within the improvement of arithmetic, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.

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The Metric Theory of Tensor Products: Grothendieck's Résumé by Joe Diestel, Jan H. Fourie, and Johan Swart

By Joe Diestel, Jan H. Fourie, and Johan Swart

Grothendieck's Resume is a landmark in sensible research. regardless of having seemed greater than a part century in the past, its ideas and effects are nonetheless no longer widely recognized nor liked. this is often due, doubtless, to the truth that Grothendieck incorporated virtually no proofs, and the presentation relies at the thought of the very summary inspiration of tensor items. This e-book goals at delivering the main points of Grothendieck's buildings and laying naked how the real periods of operators are a final result of the summary operations on tensor norms. specific consciousness is paid to how the classical Banach areas ($C(K)$'s, Hilbert areas, and the areas of integrable services) healthy obviously in the mosaic that Grothendieck built.

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