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020 _a9783030806293
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a510
_bGRE-L
100 _aGrechuk, Bogdan
245 _aLandscape of 21st century mathematics :
_bselected advances, 2001-2020
260 _aCham :
_bSpringer,
_c2021.
300 _axiv, 429 pages :
_billustrations (chiefly color)
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
650 _a21st century mathematics
650 _aPoincare conjecture
650 _aSphere packings
856 _3Table of contents
_uhttps://link.springer.com/content/pdf/bfm:978-3-030-80627-9/1
856 _3Reviews
_uhttps://www.goodreads.com/book/show/82460761-landscape-of-21st-century-mathematics?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35953
_d35953