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Geometric group theory grew out of combinatorial group theory that largely studied properties of discrete groups via analyzing group presentations, which describe groups as quotients of free groups; this field was first systematically studied by Walther von Dyck, student of Felix Klein, in the early 1880s, [2] while an early form is found in the 1856 icosian calculus of William Rowan Hamilton ...
The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...
The second edition expands the book by half, with 14 chapters added and old chapters brought up to date. Its 65 chapters (in over 1,500 pages) are written by a large team of active researchers in the field. [6] Jörg-Rudiger Sack; Jorge Urrutia (1998). Handbook of Computational Geometry. North-Holland.
Geophysics is one of the most math heavy disciplines of Earth Science. There are many applications which include gravity , magnetic , seismic , electric , electromagnetic , resistivity , radioactivity, induced polarization, and well logging . [ 9 ]
The moduli space of stable curves of genus G is the quotient of a subset of the Hilbert scheme of curves in P 5g–6 with Hilbert polynomial (6n – 1)(g – 1) by the group PGL 5g–5. Example: A vector bundle W over an algebraic curve (or over a Riemann surface ) is a stable vector bundle if and only if
Treks into Intuitive Geometry: The World of Polygons and Polyhedra is a book on geometry, written as a discussion between a teacher and a student in the style of a Socratic dialogue. It was written by Japanese mathematician Jin Akiyama and science writer Kiyoko Matsunaga, and published by Springer-Verlag in 2015 ( ISBN 978-4-431-55841-5 ), [ 1 ...