Tags
Language
Tags
<<
April 2024
Su Mo Tu We Th Fr Sa
31 1 2 3 4 5 6
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 1 2 3 4
  1. Home
  2. eBooks & eLearning
  3. number theory

International Symposium in Memory of Hua Loo Keng: Volume I Number Theory

Posted By: AvaxGenius
Date: 15 Feb 2023 17:33:01
International Symposium in Memory of Hua Loo Keng: Volume I Number Theory

International Symposium in Memory of Hua Loo Keng: Volume I Number Theory by Sheng Gong, Qi-Keng Lu, Yuan Wang, Lo Yang
English | PDF | 1991 | 356 Pages | ISBN : 3662079836 | 25 MB

The international symposium on number theory and analysis in memory of the late famous Chinese mathematician Prof. Hua Loo Keng was co-sponsored by the Institute of Mathematics, Academia Sinica and the University of Science and Technology of China. lt took place between August Ist and 7th of 1988 on the campus of Tsing Hua University, and some 150 mathematicians were pres- ent. The symposium was carried out in two separate sections: number theory and analysis. This is retlected in the publication ofa set oftwo volumes, the first one on Number Theory edited by Professor Wang Yuan and the second on Analysis by Professors Gong Sheng, Lu Qi-keng and Yang Lo.
Details

Starting with the Unit Circle: Background to Higher Analysis

Posted By: AvaxGenius
Date: 28 Dec 2022 04:24:23
Starting with the Unit Circle: Background to Higher Analysis

Starting with the Unit Circle: Background to Higher Analysis by Loo-keng Hua
English | PDF | 1981 | 187 Pages | ISBN : 146138138X | 23.1 MB

It is with great pleasure that I am writing the preface for my little book, "Starting with the Unit Circle", in the office of Springer Verlag in Heidel­ berg. This is symbolic of the fact that I have once again joined in the main­ stream of scientific exchange between East and West. Since the establishment of the People's Republic of China, I have written "An Introduction to Number Theory" for the young people studying Number Theory: for the young people studying algebra, Prof. Wan Zhe-xian (Wan Che-hsien) and I have written "Classical Groups"; for those studying the theory of functions of several complex variables, I have written "Har­ monic Analysis of Functions of Several Complex Variables in the Classical Domains", * and for university students I have written "Introduction to Higher Mathematics".
Details

Applications of Number Theory to Numerical Analysis

Posted By: AvaxGenius
Date: 28 Dec 2022 04:05:15
Applications of Number Theory to Numerical Analysis

Applications of Number Theory to Numerical Analysis by Hua Loo Keng , Wang Yuan
English | PDF | 1981 | 252 Pages | ISBN : 3642678319 | 19.6 MB

Owing to the developments and applications of computer science, ma­ thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point.
Details

History of Continued Fractions and Padé Approximants

Posted By: AvaxGenius
Date: 6 Oct 2022 12:07:55
History of Continued Fractions and Padé Approximants

History of Continued Fractions and Padé Approximants by Claude Brezinski
English | PDF | 1991 | 556 Pages | ISBN : 3540152865 | 71.8 MB

The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great­ est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak­ ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im­ portant, since they played a leading role in the development of some branches of mathematics.
Details

Applied Number Theory

Posted By: AvaxGenius
Date: 20 Aug 2022 05:09:04
Applied Number Theory

Applied Number Theory by Harald Niederreiter, Arne Winterhof
English | PDF(True) | 2015 | 452 Pages | ISBN : 3319223208 | 4.6 MB

This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas.
Details

Handbook of Floating-Point Arithmetic

Posted By: AvaxGenius
Date: 24 Apr 2022 05:28:12
Handbook of Floating-Point Arithmetic

Handbook of Floating-Point Arithmetic by Jean-Michel Muller
English | PDF(True) | 2010 | 579 Pages | ISBN : 081764704X | 6.7 MB

Floating-point arithmetic is by far the most widely used way of implementing real-number arithmetic on modern computers. Although the basic principles of floating-point arithmetic can be explained in a short amount of time, making such an arithmetic reliable and portable, yet fast, is a very difficult task. From the 1960s to the early 1980s, many different arithmetics were developed, but their implementation varied widely from one machine to another, making it difficult for nonexperts to design, learn, and use the required algorithms. As a result, floating-point arithmetic is far from being exploited to its full potential.
Details

Unsolved Problems in Number Theory

Posted By: AvaxGenius
Date: 21 Mar 2022 18:05:34
Unsolved Problems in Number Theory

Unsolved Problems in Number Theory by Richard K. Guy
English | PDF | 2004 | 455 Pages | ISBN : 0387208607 | 44.6 MB

Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity.
Details

Unsolved Problems in Number Theory

Posted By: AvaxGenius
Date: 21 Mar 2022 05:17:37
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.
Details

Reciprocity Laws: From Euler to Eisenstein

Posted By: AvaxGenius
Date: 21 Mar 2022 04:32:32
Reciprocity Laws: From Euler to Eisenstein

Reciprocity Laws: From Euler to Eisenstein by Franz Lemmermeyer
English | PDF | 2000 | 503 Pages | ISBN : 3540669574 | 46.6 MB

This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area.
Details

Algorithmic Number Theory

Posted By: AvaxGenius
Date: 5 Mar 2022 17:22:12
Algorithmic Number Theory

Algorithmic Number Theory: 8th International Symposium, ANTS-VIII Banff, Canada, May 17-22, 2008 Proceedings by Alfred J. van der Poorten
English | PDF | 2008 | 463 Pages | ISBN : 3540794557 | 7.9 MB

This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008.
Details

Elementary Methods in Number Theory

Posted By: AvaxGenius
Date: 5 Mar 2022 14:58:27
Elementary Methods in Number Theory

Elementary Methods in Number Theory by Melvyn B. Nathanson
English | PDF | 2000 | 518 Pages | ISBN : 0387989129 | 2.8 MB

Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods.
Details

An Introduction to Diophantine Equations: A Problem-Based Approach (Repost)

Posted By: AvaxGenius
Date: 19 Dec 2021 13:31:14
An Introduction to Diophantine Equations: A Problem-Based Approach (Repost)

An Introduction to Diophantine Equations: A Problem-Based Approach by Titu Andreescu
English | PDF | 2010 | 350 Pages | ISBN : 0817645489 | 2.6 MB

This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I.
Details

Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Repost)

Posted By: AvaxGenius
Date: 12 Dec 2021 15:59:41
Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Repost)

Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach by William Stein
English | PDF | 2009 | 173 Pages | ISBN : 0387855246 | 2.4 MB

The systematic study of number theory was initiated around 300B.C. when Euclid proved that there are infinitely many prime numbers. At the same time, he also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over 1000 years later (around 972A.D.)
Details

Binary Quadratic Forms: An Algorithmic Approach (Repost)

Posted By: AvaxGenius
Date: 31 Jul 2021 07:33:16
Binary Quadratic Forms: An Algorithmic Approach (Repost)

Binary Quadratic Forms: An Algorithmic Approach by Johannes Buchmann
English | PDF | 2007 | 327 Pages | ISBN : 3540463674 | 3.3 MB

The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.
Details

Sacred Geometry: Language of the Angels

Posted By: l3ivo
Date: 30 Jul 2021 08:50:51
Sacred Geometry: Language of the Angels

Richard Heath, "Sacred Geometry: Language of the Angels"
English | 2021 | ISBN: 1644111187 | 288 pages | PDF | 54.4 MB
Details
UPWARDS