Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences)
ISBN-13:
9783540533849
ISBN-10:
3540533842
Edition:
1
Author:
I.R. Shafarevich, Yu. I. Manin, Alexei A. Panchishkin, A.N. Parshin
Publication date:
1995
Publisher:
Springer
Format:
Hardcover
303 pages
Category:
Computer Science
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Book details
ISBN-13:
9783540533849
ISBN-10:
3540533842
Edition:
1
Author:
I.R. Shafarevich, Yu. I. Manin, Alexei A. Panchishkin, A.N. Parshin
Publication date:
1995
Publisher:
Springer
Format:
Hardcover
303 pages
Category:
Computer Science
Summary
Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences) (ISBN-13: 9783540533849 and ISBN-10: 3540533842), written by authors
I.R. Shafarevich, Yu. I. Manin, Alexei A. Panchishkin, A.N. Parshin, was published by Springer in 1995.
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Description
This book surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. The authors have tried to present the most significant results and methods of modern time. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.
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