Geometry and topology are strongly inspired by means of the visualization of perfect gadgets that experience sure targeted features. a transparent formula of a selected estate or a logically constant facts of a theorem frequently comes basically after the mathematician has effectively "seen" what's going on. those photos that are intended to function signposts resulting in mathematical realizing, usually additionally comprise a great thing about their personal. The critical goal of this ebook is to relate, in an obtainable and reasonably visible language, approximately a few classical and glossy achievements of geometry and topology in either intrinsic mathematical difficulties and purposes to mathematical physics. The ebook starts off from classical notions of topology and ends with outstanding new leads to Hamiltonian geometry. Fomenko lays distinct emphasis upon visible factors of the difficulties and effects and downplays the summary logical facets of calculations. as an instance, readers can in a short time penetrate into the new conception of topological descriptions of integrable Hamiltonian differential equations. The e-book comprises a variety of graphical sheets drawn by way of the writer, that are offered in detailed sections of "Visual material". those photos illustrate the mathematical principles and effects inside the publication. utilizing those images, the reader can comprehend many glossy mathematical principles and tools. even if "Visual Geometry and Topology" is ready arithmetic, Fomenko has written and illustrated this booklet in order that scholars and researchers from all of the traditional sciences and likewise artists and artwork scholars will locate anything of curiosity inside its pages.
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