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Landscape of 21st century mathematic...

Grechuk, Bogdan.

Landscape of 21st century mathematicsselected advances, 2001-2020 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Landscape of 21st century mathematicsby Bogdan Grechuk.
Reminder of title:	selected advances, 2001-2020 /
Author:	Grechuk, Bogdan.
Published:	Cham :Springer International Publishing :2021.
Description:	xiv, 429 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematics.
Online resource:	https://doi.org/10.1007/978-3-030-80627-9
ISBN:	9783030806279$q(electronic bk.)

Landscape of 21st century mathematicsselected advances, 2001-2020 /
Grechuk, Bogdan.

Landscape of 21st century mathematicsselected advances, 2001-2020 /[electronic resource] :by Bogdan Grechuk. - Cham :Springer International Publishing :2021. - xiv, 429 p. :ill., digital ;24 cm.

1 Number Theory -- 2 Combinatorics -- 3 Analysis -- 4 Algebra -- 5 Geometry and Topology -- 6 Probability and Statistics -- 7 Algorithms and Complexity -- 8 Logic and Set Theory -- References -- Index.

Landscape 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.

ISBN: 9783030806279$q(electronic bk.)

Standard No.: 10.1007/978-3-030-80627-9doiSubjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QA36 / .G74 2021

Dewey Class. No.: 510

Landscape of 21st century mathematicsselected advances, 2001-2020 /
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505 0 $a 1 Number Theory -- 2 Combinatorics -- 3 Analysis -- 4 Algebra -- 5 Geometry and Topology -- 6 Probability and Statistics -- 7 Algorithms and Complexity -- 8 Logic and Set Theory -- References -- Index.
520 $a Landscape 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.
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