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From the best-selling author of The Highwaymen comes the story of the group's most prolific and most sought after painter. 65 color plates.
Sir Isaac Newton (1642–1727) was one of the greatest scientists of all time, a thinker of extraordinary range and creativity who has left enduring legacies in mathematics and physics. While most famous for his Principia, his work on light and colour, and his discovery of the calculus, Newton devoted much more time to research in chemistry and alchemy, and to studying prophecy, church history and ancient chronology. This new edition of The Cambridge Companion to Newton provides authoritative introductions to these further dimensions of his endeavours as well as to many aspects of his physics. It includes a revised bibliography, a new introduction and six new chapters: three updating previous chapters on Newton's mathematics, his chemistry and alchemy and the reception of his religious views; and three entirely new, on his religion, his ancient chronology and the treatment of continuous and discontinuous forces in his second law of motion.
The authors study the Newton map $N:\mathbb{C}^2\rightarrow\mathbb{C}^2$ associated to two equations in two unknowns, as a dynamical system. They focus on the first non-trivial case: two simultaneous quadratics, to intersect two conics. In the first two chapters, the authors prove among other things: The Russakovksi-Shiffman measure does not change the points of indeterminancy. The lines joining pairs of roots are invariant, and the Julia set of the restriction of $N$ to such a line has under appropriate circumstances an invariant manifold, which shares features of a stable manifold and a center manifold. The main part of the article concerns the behavior of $N$ at infinity. To compactify $\...
Reprint of the original, first published in 1871. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.