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A Classical Introduction to Modern Number Theory

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 03X/5 ( reviews)

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Book Synopsis A Classical Introduction to Modern Number Theory by : Kenneth Ireland

Download or read book A Classical Introduction to Modern Number Theory written by Kenneth Ireland. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

A Classical Introduction to Modern Number Theory

1990-09-07 Mathematics
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Release : 1990-09-07
Genre : Mathematics
Kind : eBook
Book Rating : 296/5 ( reviews)

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Book Synopsis A Classical Introduction to Modern Number Theory by : Kenneth Ireland

Download or read book A Classical Introduction to Modern Number Theory written by Kenneth Ireland. This book was released on 1990-09-07. Available in PDF, EPUB and Kindle. Book excerpt: This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

A Classical Introduction to Modern Number Theory

1990-09-07 Mathematics
Download A Classical Introduction to Modern Number Theory PDF Online Free

Author :
Release : 1990-09-07
Genre : Mathematics
Kind : eBook
Book Rating : 296/5 ( reviews)

GET EBOOK


Book Synopsis A Classical Introduction to Modern Number Theory by : Kenneth Ireland

Download or read book A Classical Introduction to Modern Number Theory written by Kenneth Ireland. This book was released on 1990-09-07. Available in PDF, EPUB and Kindle. Book excerpt: This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

A Classical Introduction to Modern Number Theory

2013-03-09 Mathematics
Download A Classical Introduction to Modern Number Theory PDF Online Free

Author :
Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 792/5 ( reviews)

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Book Synopsis A Classical Introduction to Modern Number Theory by : K. Ireland

Download or read book A Classical Introduction to Modern Number Theory written by K. Ireland. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.

A Modern Introduction To Classical Number Theory

2021-07-21 Mathematics
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Release : 2021-07-21
Genre : Mathematics
Kind : eBook
Book Rating : 315/5 ( reviews)

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Book Synopsis A Modern Introduction To Classical Number Theory by : Tianxin Cai

Download or read book A Modern Introduction To Classical Number Theory written by Tianxin Cai. This book was released on 2021-07-21. Available in PDF, EPUB and Kindle. Book excerpt: Natural numbers are the oldest human invention. This book describes their nature, laws, history and current status. It has seven chapters. The first five chapters contain not only the basics of elementary number theory for the convenience of teaching and continuity of reading, but also many latest research results. The first time in history, the traditional name of the Chinese Remainder Theorem is replaced with the Qin Jiushao Theorem in the book to give him a full credit for his establishment of this famous theorem in number theory. Chapter 6 is about the fascinating congruence modulo an integer power, and Chapter 7 introduces a new problem extracted by the author from the classical problems of number theory, which is out of the combination of additive number theory and multiplicative number theory.One feature of the book is the supplementary material after each section, there by broadening the reader's knowledge and imagination. These contents either discuss the rudiments of some aspects or introduce new problems or conjectures and their extensions, such as perfect number problem, Egyptian fraction problem, Goldbach's conjecture, the twin prime conjecture, the 3x + 1 problem, Hilbert Waring problem, Euler's conjecture, Fermat's Last Theorem, Laudau's problem and etc.This book is written for anyone who loves natural numbers, and it can also be read by mathematics majors, graduate students, and researchers. The book contains many illustrations and tables. Readers can appreciate the author's sensitivity of history, broad range of knowledge, and elegant writing style, while benefiting from the classical works and great achievements of masters in number theory.

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