000			nam a22 7a 4500
999			_c31645 _d31645
008			181009b2015 xxu||||| |||| 00| 0 eng d
020			_a9781470438456
082			_a510 KAN-I
100			_aKantor, Ida
245			_aMathematics++ : _bselected topics beyond the basic courses / _cIda Kantor, Jiri Matousek and Robert Samal
260			_aRhode Island _bAmerican Mathematical Society _c2015
300			_a343 p.
365			_aINR _b1225.00.
440			_aStudent Mathematical Library _vVolume 75.
500			_aMathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications—some quite surprising—in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.
650			_aMathematics--Study and teaching (Graduate)
650			_aComputer science--Mathematics
700			_aMatousek, Jiri
700			_aSamal, Robert