000			a
999			_c34032 _d34032
008			250610b xxu||||| |||| 00| 0 eng d
020			_a9783030806293
082			_a510 _bGRE
100			_aGrechuk, Bogdan
245			_aLandscape of 21st century mathematics : selected advances, 2001-2020
260			_bSpringer, _c2021. _aCham :
300			_axiv, 429 p. ; _c24 cm.
365			_b89.99 _c€ _d100.40
504			_aIncludes bibliographical references and indexes.
520			_aLandscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline. The theorems presented in this book have been selected among recent achievements whose statements can be fully appreciated without extensive background. Grouped by subject, the selected theorems represent all major areas of mathematics: number theory, combinatorics, analysis, algebra, geometry and topology, probability and statistics, algorithms and complexity, and logic and set theory. The presentation is self-contained with context, background and necessary definitions provided for each theorem, all without sacrificing mathematical rigour. Where feasible, brief indications of the main ideas of a proof are given. Rigorous yet accessible, this book presents an array of breathtaking recent advances in mathematics. It is written for everyone with a background in mathematics, from inquisitive university students to mathematicians curious about recent achievements in areas beyond their own.
650			_aMathematics
942			_2ddc _cBK