By Kristopher Tapp
This textbook is ideal for a math path for non-math majors, with the objective of encouraging powerful analytical considering and exposing scholars to dependent mathematical ideas. It contains many themes ordinarily present in sampler classes, like Platonic solids, Euler’s formulation, irrational numbers, countable units, diversifications, and an explanation of the Pythagorean Theorem. All of those issues serve a unmarried compelling target: realizing the mathematical styles underlying the symmetry that we notice within the actual global round us.
The exposition is attractive, specified and rigorous. The theorems are visually inspired with intuitive proofs acceptable for the meant audience. scholars from all majors will benefit from the many attractive themes herein, and should come to raised delight in the robust cumulative nature of arithmetic as those subject matters are woven jointly right into a unmarried attention-grabbing tale concerning the ways that gadgets might be symmetric.
By T. N. Bailey,R. J. Baston
By Joachim Kock
By András Prékopa,Emil Molnár
By Christian Bär
By Mark Green,Phillip A. Griffiths,Matt Kerr
Mumford-Tate teams are the basic symmetry teams of Hodge concept, a subject matter which rests on the heart of latest complicated algebraic geometry. This booklet is the 1st entire exploration of Mumford-Tate teams and domain names. Containing easy conception and a wealth of latest perspectives and effects, it is going to develop into a necessary source for graduate scholars and researchers.
Although Mumford-Tate teams could be outlined for common constructions, their concept and use so far has generally been within the classical case of abelian kinds. whereas the ebook does study this sector, it specializes in the nonclassical case. the final conception seems to be very wealthy, resembling within the unforeseen connections of finite dimensional and endless dimensional illustration idea of actual, semisimple Lie teams. The authors provide the total type of Hodge representations, an issue that are supposed to develop into a customary within the finite-dimensional illustration thought of noncompact, actual, semisimple Lie teams. in addition they point out that during the longer term, a connection turns out able to be made among Lie teams that admit discrete sequence representations and the examine of automorphic cohomology on quotients of Mumford-Tate domain names via mathematics teams. Bringing jointly complicated geometry, illustration thought, and mathematics, this e-book opens up a clean standpoint on a huge subject.
By Marcel Berger,Michael Cole,Silvio Levy
This is the second one of a two-volume textbook that gives a truly readable and full of life presentation of enormous elements of geometry within the classical feel. for every subject the writer offers a theorem that's esthetically enjoyable and simply acknowledged, even supposing the facts might be particularly not easy and hid. one more robust trait of the booklet is that it presents a finished and unified reference resource for the sphere of geometry within the complete breadth of its subfields and ramifications.
By János Kollár,Sándor Kovács,Sándor Kovács
By Klaus Volkert
By D. J. Saunders