Author : A.N. Parshin
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 15,52 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 3662036444
This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.
Author : Jennifer S. Balakrishnan
Publisher : Springer
Page : 208 pages
File Size : 23,2 MB
Release : 2019-08-01
Category : Mathematics
ISBN : 3030194787
These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.
Author : Peter Gustav Lejeune Dirichlet
Publisher : American Mathematical Soc.
Page : 297 pages
File Size : 28,40 MB
Release : 1999
Category : Mathematics
ISBN : 0821820176
Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions.
Author :
Publisher :
Page : 435 pages
File Size : 47,56 MB
Release : 2007
Category : 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。
Author : Melvyn B. Nathanson
Publisher : Springer Nature
Page : 445 pages
File Size : 31,30 MB
Release : 2021-08-12
Category : Mathematics
ISBN : 3030679969
This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.
Author : Arthur T. Benjamin
Publisher : American Mathematical Soc.
Page : 311 pages
File Size : 47,39 MB
Release : 2020-07-29
Category : Mathematics
ISBN : 1470458438
Author : József Sándor
Publisher : Springer Science & Business Media
Page : 638 pages
File Size : 34,29 MB
Release : 2005-11-17
Category : 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.
Author : Tom M. Apostol
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 29,24 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475755791
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS
Author : W.A. Coppel
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 42,73 MB
Release : 2006-02-02
Category : Mathematics
ISBN : 9780387298511
This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.
Author :
Publisher : Academic Press
Page : 449 pages
File Size : 27,75 MB
Release : 1986-05-05
Category : 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.
