Introduction to Modern Number Theory

The book offered to the reader is a revised and expanded version of the book "Number Theory I. Introduction to Number Theory" by Yu. I. Manin and A. A. Panchishkin (Moscow: VINITI, 1989) and its English translation (Encyclopaedia of Mathematical... Sciences, v. 49, Springer-Verlag, 1995). The book consists of introductory chapters on various sections of number theory. All chapters are united by a common concept: to walk with the reader from visual examples of number-theoretic objects and problems, through general concepts and theories developed over a long time, to some of the newest achievements and visions of modern mathematics and sketches for further research. New sections written for this edition include a condensed presentation of Wiles' proof of Fermat's Last Theorem, a recently discovered polynomial algorithm for primality testing, a review of counting rational points on varieties, and other topics; the concluding part of the book is devoted to arithmetic cohomologies and noncommutative geometry.

Author: МАНИН Ю.И., ПАНЧИШКИН А.А.

Printhouse: MTsNMO

Series: Classical Directions in Mathematics

Age restrictions: 12+

Year of publication: 2020

ISBN: 9785443901022

Number of pages: 552

Size: 21.7x15x2.7 mm

Cover type: Твердый переплет

Weight: 640 g

ID: 1524013

The book offered to the reader is a revised and expanded version of the book "Number Theory I. Introduction to Number Theory" by Yu. I. Manin and A. A. Panchishkin (Moscow: VINITI, 1989) and its English translation (Encyclopaedia of Mathematical Sciences, v. 49, Springer-Verlag, 1995). The book consists of introductory chapters on various sections of number theory. All chapters are united by a common concept: to walk with the reader from visual examples of number-theoretic objects and problems, through general concepts and theories developed over a long time, to some of the newest achievements and visions of modern mathematics and sketches for further research. New sections written for this edition include a condensed presentation of Wiles' proof of Fermat's Last Theorem, a recently discovered polynomial algorithm for primality testing, a review of counting rational points on varieties, and other topics; the concluding part of the book is devoted to arithmetic cohomologies and noncommutative geometry.

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€ 8.69

Sold out

€ 8.69