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Number Theory:     more books (100)

Transcendental Number Theory (Cambridge Mathematical Library) by Alan Baker, 1990-09-28 Making Transcendence Transparent: An intuitive approach to classical transcendental number theory by Edward B. Burger, Robert Tubbs, 2010-11-02 Elementary Number Theory by Charles Vanden Eynden, 2001-01-12 Introduction to Number Theory by Mathew Crawford, 2008-06-30 Contributions to the founding of the theory of transfinite numbers by Georg Cantor, Philip E. B. 1879-1919 Jourdain, 2010-08-29 Additive Number Theory The Classical Bases (Graduate Texts in Mathematics) by Melvyn B. Nathanson, 2010-11-02 Elementary Methods in Number Theory by Melvyn B. Nathanson, 1999-12-21 Introduction to Number Theory With Computing by R. B. J. T. Allenby, E. J. Redfern, 1989-09 Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences) by Yu. I. Manin, Alexei A. Panchishkin, 2010-11-30 Number Theory 1: Fermat's Dream (Translations of Mathematical Monographs) (Vol 1) by Kazuya Kato, Nobushige Kurokawa, et all 2000-01-01 Introduction to Number Theory by James E Shockley, 1967-01-01 Number Story: From Counting to Cryptography by Peter Michael Higgins, 2008-02-25 Algebraic Number Theory by Edwin Weiss, 1998-01-29 The Higher Arithmetic: An Introduction to the Theory of Numbers by H. Davenport, 2008-11-17

lists with details

81. London Number Theory Seminar
    Weekly meetings during term, rotating between University College, King's College and Imperial College.Category Science Math number theory EventsLondon number theory Seminar, The London number theory Seminar ishosted in rotation for one semester each by UCL, IC and KCL. A  
    http://www.mth.kcl.ac.uk/events/numbtheo.html
    
    Extractions: London Number Theory Seminar A list of previous seminars held is available here This term it's being held in room 658 of the maths department (i.e. the Huxley building) of Imperial College (instructions on how to get there are here on Wednesdays at 4.15 pm . Tea is available in the common room beforehand. For more details, please contact the organiser, Dr Kevin Buzzard ( buzzard@ic.ac.uk Also on Wednesdays in Imperial this term: Alexei Skorobogatov will be giving an informal seminar series on rational points and related topics. This seminar also starts on 15th Jan. It's again in room 658, from 1200 to 1330 or so. There will be a study group on Drinfel'd Modules, also in room 658, from 1430 to 1530++ as usual. Contrary to earlier rumours however, this will start on the 22nd. It's organised by Manuel Breuning and we'll be looking at Rosen's book and/or `Basic Structures of Function Field Arithmetic' by Goss. Skorobogatov's abstract for his course: Among the things of general interest I propose to look at the paper "Unramified correspondences" by Bogomolov-Tschinkel. They prove that any hyperelliptic curve over an algebraically closed field has a finite etale cover that maps surjectively to the curve y

82. Dirichlet
    Proved that in any arithmetic progression with first term coprime to the difference there are infinitely many primes, units in algebraic number theory, ideals, proposed the modern definition of a function.  
    http://turnbull.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html
    
    Extractions: Lejeune Dirichlet Gymnasium in Bonn in 1817, at the age of 12, he had developed a passion for mathematics and spent his pocket-money on buying mathematics books. At the Gymnasium he was a model pupil being [1]:- ... an unusually attentive and well-behaved pupil who was particularly interested in history as well as mathematics. After two years at the Gymnasium in Bonn his parents decided that they would rather have him attend the Jesuit College in Cologne and there he had the good fortune to be taught by Ohm . By the age of 16 Dirichlet had completed his school qualifications and was ready to enter university. However, the standards in German universities were not high at this time so Dirichlet decided to study in Paris. It is interesting to note that some years later the standards in German universities would become the best in the world and Dirichlet himself would play a hand in the transformation. Dirichlet set off for France carrying with him Gauss 's Disquisitiones arithmeticae Biot Fourier Francoeur Hachette ... Legendre , and Poisson Dirichlet's first paper was to bring him instant fame since it concerned the famous Fermat's Last Theorem . The theorem claimed that for n x y z such that x n y n z n . The cases n = 3 and n = 4 had been proved by Euler and Fermat , and Dirichlet attacked the theorem for

83. SAL- Mathematics - Number Theory
    This section has several number theory software. Search SAL number theory (Commercial, Shareware, GPL) CLN a C++ class library for numbers.  
    http://sal.kachinatech.com/A/4/index.shtml

84. James Wanless
    Elementary number theory and Geometry.  
    http://www.bearnol.pwp.blueyonder.co.uk/

85. History Of Mathematics: History Of Arithmetic And Number Theory
    A bibliography by D. Joyce.Category Science Math number theory HistoryHistory of Arithmetic and number theory. See also the history of numbers and counting.On the Web. Mathematics Archive's index to number theory on the web.  
    http://aleph0.clarku.edu/~djoyce/mathhist/arithmetic.html

86. Jlpe's Number Recreations Page
    Features original number recreations by the author, such as generalized perfect numbers, digital diversions, diophantine equations, didactic numbers, and number theory.  
    http://www.geocities.com/windmill96/numrecreations.html
    
    Extractions: jlpe's number recreations page The concept of number is the obvious distinction between the beast and man. Thanks to number, the cry becomes song, noise acquires rhythm, the spring is transformed into a dance, force becomes dynamic, and outlines figures. Joseph Marie de Maistre I have hardly ever known a mathematician who was capable of reasoning. Plato On a Generalization of Perfect Numbers Ana's Golden Fractal The Picture-Perfect Numbers Fractal Dimension, Primes, and the Persistence of Memory ... The Justice of Numbers : The author will not be responsible for any frustration or sleepless nights suffered by the would-be solver. Number of Visits: J. L. Pe Last update: 16 February 2003.

87. Elementary Number Theory -- A Lightning Course
    Notes by Jeremy Teitelbaum.Category Science Math number theory EducationElementary number theory A Lightning Course. number theory is themathematical study of the integers and their generalizations.  
    http://raphael.math.uic.edu/~jeremy/crypt/math.html
    
    Extractions: Prime numbers and composite numbers. A prime number is an integer n with no divisors other than 1 and n. A composite number is an integer which is not prime. The first few prime numbers are 2,3,5,7,11,13,.... There are infinitely many prime numbers. (This result is due to Euclid. Lists of prime numbers can be constructed by a process called the Sieve of Eratosthenes, described in a University of Utah Math 216 Problem Set.

88. Wiley :: Primality And Cryptography
    Evangelos Kranakis. A comprehensive account of recent algorithms developed in computational number theory and primality testing.  
    http://www.wiley.com/cda/product/0,,0471909343,00.html
    
    Extractions: A comprehensive account of recent algorithms developed in computational number theory and primality testing. Provides a general framework for the theoretical study of public key cryptography and pseudorandom generators. Unique in its approach, the book will be a valuable addition to computer literature.

89. Computational Projects
    Interesting problems, usually requiring extensive verifications or enumerations, to occupy the idle Category Science Math number theory Computational future. List of available software packages related to number theory.Fast implementation of the segmented sieve of Eratosthenes.  
    http://www.ieeta.pt/~tos/hobbies.html
    
    Extractions: Introduction Projects Software Contact ... [Up] (The Latin locution in the title of this page was copied from the home page of David Bailey WinZip , and then view them with a text editor. As far as I am aware, some of the results reported in these pages are records of computation. Some of the results presented or made available in the pages described above have not yet been double-checked. They are thus potentially inaccurate. Simple screening tests were used to identify and reject wrong results. However, these screening tests are not perfect, and thus wrong results may have been accepted. So far, all double checking computations have not uncovered any wrong results, but that is no guarantee that this will not happen in the future. All software is released under the version 2 of the

90. Algebra And Number Theory
    Algebra and number theory the KANT group. Members, software (KANT/KASH), publications.Category Science Math number theory Research GroupsAlgebra and number theory. The KANT Group. KANT stands for Computational Algebraicnumber theory with a slight hint to its German origin (Immanuel Kant).  
    http://www.math.tu-berlin.de/algebra/

91. Discovering Number Theory
    A textbook by John Jones and Jeff Holt.Category Science Math number theory Publications BooksDiscovering number theory is a textbook by John Jones and Jeff Holtpublished by WH Freeman and Company. Requests for examination  
    http://math.la.asu.edu/~jj/dnt/
    
    Extractions: Discovering Number Theory is a textbook by John Jones and Jeff Holt published by W. H. Freeman and Company Requests for examination copies of the materials should go directly to the publisher. Visit this W.H. Freeman page and you should find a link which you can use to request a copy of the book. W.H. Freeman is starting a web page with materials for the book . It is in the process of being updated. Development of these course materials was supported by the NSF under grant Revitalizing Undergraduate Number Theory Chart showing chapter dependencies The basic operation of the course is as follows. (This is also explained in the first day handout below.) Each chapter starts with the pre-lab sheet. It contains background, exercises to be worked by hand, and may mention the larger questions which will be taken up in the computer lab. Each student turns in their individual answers to pre-lab questions the following class, which is . . . The next 2-3 classes are held in the lab. Students work through the lab notebooks in teams of two. Each notebook contains "Research questions" and "Exercises". Exercises are intended to be straightforward while research questions are not. Typically, the research questions will require experimentation, forming of conjectures, and proofs. We expect students to make varying degrees of progress on these questions.

92. Number Theory Group, Oxford
    number theory Group. Members, publications, meetings.  
    http://www.maths.ox.ac.uk/ntg/
    
    Extractions: The interests of the group are diverse, covering analytic number theory, arithmetic geometry, computational number theory, elliptic curves and zeta functions. See individual homepages for further information on particular members' interests. Members of the research group Junior number theory seminars Number theory seminars Graduate lectures ... (EPSRC grant no. GR/R93155/01) Preprints by members of the research group Papers relating to Rational Points on Algebraic Varieties (EPSRC grant no. GR/R93155/01) AMS Mathematics Subject Classification Arithmetic Geometry Network London Mathematical Society MathSciNet Search ... NoMaDS (North of England algebraic number theory group) Number Theory Web SECANTS (South of England Computational and Algorithmic Number Theory Seminars) Vacancies within the Department Location of the Department visitors since 17th February, 2003 This page last modified by Tim Browning

93. Numbers And Number Theory
    Mathematical Association of America (MAA) recently published book list. Each title is described and Category Science Math number theory PublicationsNumbers and number theory. Invitation to number theoryOystein Ore;Irrational NumbersIvan Niven; Lore of Large Numbers, ThePJ Davis;  
    http://www.maa.org/pubs/books/numbers.html
    
    Extractions: Cryptology Albrecht Beutlespacher Cryptological Mathematics Robert Lewand Diophantus and Diophantine Equations I.G. Bashmakova Euler: The Master of Us All William Dunham From Zero to Infinity Constance Reid The Geometry of Numbers C.D. Olds, Anneli Lax and Giuliana Davidoff Invitation to Number Theory Oystein Ore Irrational Numbers Ivan Niven Lore of Large Numbers, The P.J. Davis Lure of the Integers Joe Roberts Numbers; Rational and Irrational Ivan Niven Power Play Edward J. Barbeau A Primer of Abstract Mathematics Robert Ash

94. C R A N T S
    A regional seminar for the greater Capital District of New York (the area of Albany, Saratoga Springs, Schenectady, and Troy) devoted to number theory, algebra, and related topics in mathematics.  
    http://math.albany.edu:8000/math/Current/Crants/
    
    Extractions: C R A N T S CAPITAL REGION ALGEBRA/NUMBER THEORY SEMINAR CRANTS is a regional seminar for the greater Capital District of New York (the area of Albany, Saratoga Springs, Schenectady, and Troy) devoted to number theory, algebra, and related topics in mathematics. The Seminar meets biweekly during the academic year, generally on Wednesday afternoons at 4:30 p.m. It relies on its members to provide locations for its meetings. From the beginning it was established that a meeting should not be hosted at the institution, if any, where the speaker is in residence. Although there have been exceptions to this rule, there is a continuing determination to uphold it. At various times in the past the seminar has met at: Siena College , Latham, NY Skidmore College , Saratoga Springs, NY Union College , Schenectady, NY University at Albany (SUNY), Albany, NY

95. Basic Library List-Number Theory
    Compiled by the Mathematical Association of America (MAA). This site subdivides number theory into Category Science Math number theory Publicationsnumber theory. Back to Table of Contents. number theory Introductory Texts. * Andrews,George E. number theory. Dover Publications, 1998. ISBN 0486682528  
    http://www.maa.org/BLL/numtheory.htm
    
    Extractions: Back to Table of Contents * Andrews, George E. Number Theory. Dover Publications, 1998. ISBN 0486682528 ** Baker, Alan. A Concise Introduction to the Theory of Numbers New York, NY: Cambridge University Press, 1985. ISBN 0521286549. Burn, R.P. A Pathway Into Number Theory New York, NY: Cambridge University Press, 1996. ISBN 0521575400 Burton, David M. Elementary Number Theory, New York, McGraw-Hill Companies, 1997. Second Edition. ISBN 0070094667 * Davenport, Harold. The Higher Arithmetic: An Introduction to the Theory of Numbers, New York, NY: Cambridge University Press, 1998. ISBN 0521634466. Elements of the Theory of Numbers. San Diego, Academic Press, 1999. ISBN 0122091302 Dudley, Underwood. Elementary Number Theory, New York, NY: W.H. Freeman, 1978. ISBN 071670076X. Flath, Daniel E. Introduction to Number Theory * * * Hardy, Godfrey H. and Wright, E. M. Introduction to the Theory of Numbers. Oxford University Press, 1980. ISBN 0198531702 (Out of Print) Hua, Loo-Keng.

96. Thabit
    Gives information on background and contributions to noneuclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including Euclid's Elements, during the Middle Ages.  
    http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thabit.html
    
    Extractions: Thabit ibn Qurra was a native of Harran and a member of the Sabian sect. The Sabian religious sect were star worshippers from Harran often confused with the Mandaeans (as they are in [1]). Of course being worshipers of the stars meant that there was strong motivation for the study of astronomy and the sect produced many quality astronomers and mathematicians. The sect, with strong Greek connections, had in earlier times adopted Greek culture, and it was common for members to speak Greek although after the conquest of the Sabians by Islam, they became Arabic speakers. There was another language spoken in southeastern Turkey, namely Syriac, which was based on the East Aramaic dialect of Edessa. This language was Thabit ibn Qurra's native language, but he was fluent in both Greek and Arabic. Some accounts say that Thabit was a money changer as a young man. This is quite possible but some historians do not agree. Certainly he inherited a large family fortune and must have come from a family of high standing in the community.

97. Tools On Number Theory
    Tools on number theory Web. About TNT; Tools on number theory WebLinks; TNT Mailing List; TNT ftp site; archive of TNT Mailing List;  
    http://tnt.math.metro-u.ac.jp/

98. Home Page Of Jeffrey O. Shallit
    Algorithmic number theory (primality testing, and factoring), formal languages and automata theory (especially connections with number theory), history of mathematics and computer science, ethical use of computers.  
    http://www.math.uwaterloo.ca/~shallit/
    
    Extractions: Algorithmic number theory (primality testing, factoring, etc.), formal languages and automata theory (especially connections with number theory), history of mathematics and computer science, ethical use of computers. See my rating at ratemyprofessors.com. : Nothing on this page should be taken to represent the official views of the University of Waterloo.

99. Number Theory
    http://www.ma.utexas.edu/users/voloch/numberthy.html
    
    Extractions: Jeffrey Vaaler vaaler@math.utexas.edu ): Analytic number theory, Diophantine approximation and the geometry of numbers in local and global fields, Diophantine inequalities, polynomials, effective measures of irrationality and transcendence, applications of Fourier analysis in number theory, inequalities and extremal problems.

100. Rsabook
     S.C. Coutinho. An introduction to number theory and its applications to cryptography. A revised and updated translation from original in Portuguese.  
     http://www.dcc.ufrj.br/~collier/rsabook.htm
     
     Extractions: About the book This is an introduction to number theory and its applications to cryptography. The aim of the book is to explain in detail how the public key cryptosystem known as RSA works. The system was invented in 1977 by Rivest, Shamir and Adlemanhence RSAand it is one of the most successful of the public key cryptosystem now in use in commercial applications. Althouth this is the aim of the book, we do not follow a straight path to this end. Instead we stroll about the landscape, never forgetting our aim, but stopping to explore whatever reachs are available on the way. Thus the book includes a chapter on group theory, and it is pepered with historical notes that range from biographical facts on famous mathematicians to little anecdotes. The mathematics behind most of the books subject is, naturally enough, number theory. Most of the traditional topics of a beginners course on number theory are to be found here. Thus there are chapters on the Euclidean algorithm, factorization of integers, primes, modular arithmetic, Fermat's little theorem, the Chinese remainder theorem and Mersenne and fermat numbers. However we follow na algorithmic approach, so that the proofs the theorems are, whenever possible, of a constructive nature. Back to the top

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