Number Theory Long

Number Theory  eBooks & eLearning

Posted by Sigha at Dec. 11, 2019
Number Theory

Number Theory
Video: .mp4 (1280x720, 30 fps(r)) | Audio: aac, 48000 Hz, 2ch | Size: 885 MB
Genre: eLearning Video | Duration: 8.5 hours | Language: English

Explore, Learn and Master Fundamental Topics in Number Theory

Number Theory I: Fundamental Problems, Ideas and Theories  eBooks & eLearning

Posted by AvaxGenius at June 18, 2024
Number Theory I: Fundamental Problems, Ideas and Theories

Number Theory I: Fundamental Problems, Ideas and Theories by A. N. Parshin, I. R. Shafarevich
English | PDF | 1995 | 311 Pages | ISBN : N/A | 27.6 MB

Preface Among the various branches of mathematics, number theory is characterized to a lesser degree by its primary subject ("integers") than by a psychologi­ cal attitude. Actually, number theory also deals with rational, algebraic, and transcendental numbers, with some very specific analytic functions (such as Dirichlet series and modular forms), and with some geometric objects (such as lattices and schemes over Z). The question whether a given article belongs to number theory is answered by its author's system of values. If arithmetic is not there, the paper will hardly be considered as number-theoretical, even if it deals exclusively with integers and congruences. On the other hand, any mathematical tool, say, homotopy theory or dynamical systems may become an important source of number-theoretical inspiration. For this reason, com­ binatorics and the theory of recursive functions are not usually associated with number theory, whereas modular functions are. In this report we interpret number theory broadly. There are compelling reasons to adopt this viewpoint. First of all, the integers constitute (together with geometric images) one of the primary subjects of mathematics in general. Because of this, the history of elementary number theory is as long as the history of all mathematics, and the history of modern mathematic began when "numbers" and "figures" were united by the concept of coordinates (which in the opinion of LR. Shafarevich also forms the basic idea of algebra).

Number Theory  eBooks & eLearning

Posted by lucky_aut at July 14, 2024
Number Theory

Number Theory
Duration: 8h33m | .MP4 1280x720, 30 fps(r) | AAC, 44100 Hz, 2ch | 1.27 GB
Genre: eLearning | Language: English

Explore, Learn and Master Fundamental Topics in Number Theory

Number Theory I: Fundamental Problems, Ideas and Theories  eBooks & eLearning

Posted by AvaxGenius at June 18, 2024
Number Theory I: Fundamental Problems, Ideas and Theories

Number Theory I: Fundamental Problems, Ideas and Theories by A. N. Parshin, I. R. Shafarevich
English | PDF | 1995 | 311 Pages | ISBN : N/A | 27.6 MB

Preface Among the various branches of mathematics, number theory is characterized to a lesser degree by its primary subject ("integers") than by a psychologi­ cal attitude. Actually, number theory also deals with rational, algebraic, and transcendental numbers, with some very specific analytic functions (such as Dirichlet series and modular forms), and with some geometric objects (such as lattices and schemes over Z). The question whether a given article belongs to number theory is answered by its author's system of values. If arithmetic is not there, the paper will hardly be considered as number-theoretical, even if it deals exclusively with integers and congruences. On the other hand, any mathematical tool, say, homotopy theory or dynamical systems may become an important source of number-theoretical inspiration. For this reason, com­ binatorics and the theory of recursive functions are not usually associated with number theory, whereas modular functions are. In this report we interpret number theory broadly. There are compelling reasons to adopt this viewpoint. First of all, the integers constitute (together with geometric images) one of the primary subjects of mathematics in general. Because of this, the history of elementary number theory is as long as the history of all mathematics, and the history of modern mathematic began when "numbers" and "figures" were united by the concept of coordinates (which in the opinion of LR. Shafarevich also forms the basic idea of algebra).

Number Theory: Step by Step  eBooks & eLearning

Posted by IrGens at Feb. 24, 2022
Number Theory: Step by Step

Number Theory: Step by Step by Kuldeep Singh
English | May 10, 2020 | ISBN: 0198846738 | True PDF | 400 pages | 11.96 MB

Unsolved Problems in Number Theory  eBooks & eLearning

Posted by AvaxGenius at March 21, 2022
Unsolved Problems in Number Theory

Unsolved Problems in Number Theory by Richard K. Guy
English | PDF | 1981 | 176 Pages | ISBN : 0387905936 | 14.9 MB

To many laymen, mathematicians appear to be problem solvers, people who do "hard sums". Even inside the profession we dassify ourselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the in­ creasing number of disciplines where it is applied.

Number Theory  eBooks & eLearning

Posted by lucky_aut at July 14, 2024
Number Theory

Number Theory
Duration: 8h33m | .MP4 1280x720, 30 fps(r) | AAC, 44100 Hz, 2ch | 1.27 GB
Genre: eLearning | Language: English

Explore, Learn and Master Fundamental Topics in Number Theory

Basic Number Theory  eBooks & eLearning

Posted by AvaxGenius at Oct. 1, 2023
Basic Number Theory

Basic Number Theory by André Weil
English | PDF | 1967 | 313 Pages | ISBN : N/A | 30 MB

The first part of this volume is based on a course taught at Princeton University in 1961-62; at that time, an excellent set ofnotes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript by ChevaIley, of pre-war vintage (forgotten, that is to say, both by me and by its author) which, to my taste at least, seemed to have aged very weIl. It contained abrief but essentially com- plete account of the main features of c1assfield theory, both local and global; and it soon became obvious that the usefulness of the intended volume would be greatly enhanced if I inc1uded such a treatment of this topic. It had to be expanded, in accordance with my own plans, but its outline could be preserved without much change. In fact, I have adhered to it rather c10sely at some critical points.

Number Theory I: Fundamental Problems, Ideas and Theories  eBooks & eLearning

Posted by AvaxGenius at June 18, 2024
Number Theory I: Fundamental Problems, Ideas and Theories

Number Theory I: Fundamental Problems, Ideas and Theories by A. N. Parshin, I. R. Shafarevich
English | PDF | 1995 | 311 Pages | ISBN : N/A | 27.6 MB

Preface Among the various branches of mathematics, number theory is characterized to a lesser degree by its primary subject ("integers") than by a psychologi­ cal attitude. Actually, number theory also deals with rational, algebraic, and transcendental numbers, with some very specific analytic functions (such as Dirichlet series and modular forms), and with some geometric objects (such as lattices and schemes over Z). The question whether a given article belongs to number theory is answered by its author's system of values. If arithmetic is not there, the paper will hardly be considered as number-theoretical, even if it deals exclusively with integers and congruences. On the other hand, any mathematical tool, say, homotopy theory or dynamical systems may become an important source of number-theoretical inspiration. For this reason, com­ binatorics and the theory of recursive functions are not usually associated with number theory, whereas modular functions are. In this report we interpret number theory broadly. There are compelling reasons to adopt this viewpoint. First of all, the integers constitute (together with geometric images) one of the primary subjects of mathematics in general. Because of this, the history of elementary number theory is as long as the history of all mathematics, and the history of modern mathematic began when "numbers" and "figures" were united by the concept of coordinates (which in the opinion of LR. Shafarevich also forms the basic idea of algebra).

Unsolved Problems in Number Theory  eBooks & eLearning

Posted by AvaxGenius at March 22, 2022
Unsolved Problems in Number Theory

Unsolved Problems in Number Theory by Richard K. Guy
English | PDF | 1994 | 303 Pages | ISBN : 0387942890 | 30.6 MB

To many laymen, mathematicians appear to be problem solvers, people who do "hard sums". Even inside the profession we dassify ouselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics itself and from the increasing number of disciplines where it is applied.