Landscape of 21st Century Mathematics

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Bogdan Grechuk fell in love with mathematics as a child, taking part in various mathematics competitions, including the International Mathematical Olympiad where he won a gold medal in 1997. He's been lecturing at the University of Leicester (UK) since 2011.

Zusammenfassung

Includes over 400 great theorems from all areas of mathematics

Presents current mathematics research directions and results

Accessible to advanced undergraduates and above

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2021
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiv 429 S. 8 s/w Illustr. 16 farbige Illustr. 429 p. 24 illus. 16 illus. in color.
ISBN-13:	9783030806262
ISBN-10:	303080626X
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Grechuk, Bogdan
Auflage:	1st ed. 2021
Hersteller:	Springer International Publishing Springer International Publishing AG
Maße:	241 x 160 x 28 mm
Von/Mit:	Bogdan Grechuk
Erscheinungsdatum:	22.09.2021
Gewicht:	0,909 kg

Artikel-ID: 120176998