The Algebraist

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The Arithmetica is not a systematic exposition of the algebraic operations, or of algebraic functions or of the solution of algebraic equations". Sensitive, gifted young hero chases intergalactic McGuffin across the vastnesses of space, finds self in the process" would suffice from some of Banks's more pedestrian peers, but the Culture series has raised the bar for him. He is still able to piece together the secret from the remaining clues: every massive body has a region of zero net gravitational attraction at its exact centre. But with each day that passes a war draws closer - a war that threatens to overwhelm everything and everyone he's ever known. The Nasqueron Dwellers inhabit a gas giant on the outskirts of the galaxy, in a system awaiting its wormhole connection to the rest of civilisation.

The Algebraist by Iain M. Banks | Goodreads

Imagine that he is hugely enthusiastic and charming, and that his thoughtful analyses of contemporary human politics range from the individual to the mass, from theory to action, from ideology to consequence. H Bass, John Milnor, the algebraist, in Topological methods in modern mathematics (Houston, TX, 1993), 45- 84. He posts a blog which acts as a healthy vent for not only his bibliophilia, but also his love of culture and travel: Speculiction.His profligate, freewheeling powers of invention have led him to embellish the peripheral aspects of his work while paying insufficient care to its centre.

The Algebraist by Iain M. Banks | Hachette UK

Though by now quite perfectly insane, sometimes, after an especially intense training session with the Archimandrite, when the blood trickled down from the one-time rebel chief’s split lips, re-broken nose and puffed-up eyes and ears, Stinausin would cry. The Nasqueron's star system has been cut off from the rest of Mercatoria civilization because their portal (the only means of faster than light travel) was destroyed by the Beyonders. The small person approaching reached the path’s loose surface twenty metres away and kept running, scattering gravel. In 1954 Milnor received his doctorate for his 44-page thesis Isotopy of Links written under Ralph Fox's supervision.His most remarkable achievement, which played a major role in the award of the Fields Medal, was his proof that a 7-dimensional sphere can have several differential structures. For the integers ( a + b) × c = a × c + b × c and c × ( a + b) = c × a + c × b, and × is said to be distributive over +.

The Algebraist: Unabashed space opera | Fantasy Literature The Algebraist: Unabashed space opera | Fantasy Literature

By a link homotopy is meant a deformation of one link onto another, during which each component of the link is allowed to cross itself, but such that no two components are allowed to intersect. It is also revealed that the Dwellers have been harbouring artificial intelligences from Mercatoria persecution.The others were: The characteristics of a vector field on the two-sphere; On total curvatures of closed space curves; and (with Israel Herstein ) An axiomatic approach to measurable utility. Every element has an inverse: for every member a of S, there exists a member a −1 such that a ∗ a −1 and a −1 ∗ a are both identical to the identity element. See Boyer 1991, page 181: "If we think primarily of the matter of notations, Diophantus has good claim to be known as the 'father of algebra', but in terms of motivation and concept, the claim is less appropriate.