Handbook of Number Theory I
Title | Handbook of Number Theory I PDF eBook |
Author | József Sándor |
Publisher | Springer Science & Business Media |
Total Pages | 638 |
Release | 2005-11-17 |
Genre | Mathematics |
ISBN | 1402042159 |
This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.
Multiplicative Number Theory I
Title | Multiplicative Number Theory I PDF eBook |
Author | Hugh L. Montgomery |
Publisher | Cambridge University Press |
Total Pages | 574 |
Release | 2007 |
Genre | Mathematics |
ISBN | 9780521849036 |
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Number Theory
Title | Number Theory PDF eBook |
Author | Róbert Freud |
Publisher | American Mathematical Soc. |
Total Pages | 549 |
Release | 2020-10-08 |
Genre | Education |
ISBN | 1470452758 |
Number Theory is a newly translated and revised edition of the most popular introductory textbook on the subject in Hungary. The book covers the usual topics of introductory number theory: divisibility, primes, Diophantine equations, arithmetic functions, and so on. It also introduces several more advanced topics including congruences of higher degree, algebraic number theory, combinatorial number theory, primality testing, and cryptography. The development is carefully laid out with ample illustrative examples and a treasure trove of beautiful and challenging problems. The exposition is both clear and precise. The book is suitable for both graduate and undergraduate courses with enough material to fill two or more semesters and could be used as a source for independent study and capstone projects. Freud and Gyarmati are well-known mathematicians and mathematical educators in Hungary, and the Hungarian version of this book is legendary there. The authors' personal pedagogical style as a facet of the rich Hungarian tradition shines clearly through. It will inspire and exhilarate readers.
数论导引
Title | 数论导引 PDF eBook |
Author | |
Publisher | |
Total Pages | 435 |
Release | 2007 |
Genre | Number theory |
ISBN | 9787115156112 |
本书内容包括素数、无理数、同余、费马定理、连分数、不定方程、二次域、算术函数、分化等。
A Primer of Analytic Number Theory
Title | A Primer of Analytic Number Theory PDF eBook |
Author | Jeffrey Stopple |
Publisher | Cambridge University Press |
Total Pages | 404 |
Release | 2003-06-23 |
Genre | Mathematics |
ISBN | 9780521012539 |
An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.
Number Theory
Title | Number Theory PDF eBook |
Author | |
Publisher | Academic Press |
Total Pages | 449 |
Release | 1986-05-05 |
Genre | Mathematics |
ISBN | 0080873324 |
This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete problems in number theory. General theories arise as tools for solving these problems. As a rule, these theories are developed sufficiently far so that the reader can see for himself their strength and beauty, and so that he learns to apply them. Most of the questions that are examined in this book are connected with the theory of diophantine equations - that is, with the theory of the solutions in integers of equations in several variables. However, we also consider questions of other types; for example, we derive the theorem of Dirichlet on prime numbers in arithmetic progressions and investigate the growth of the number of solutions of congruences.
Handbook of Number Theory I
Title | Handbook of Number Theory I PDF eBook |
Author | József Sándor |
Publisher | Springer |
Total Pages | 622 |
Release | 1995-11-30 |
Genre | Mathematics |
ISBN | 9780792338239 |
This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.