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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. Vignettes On Automorphic And Modular Forms, Representations, L-functions, And Nu
    By Paul Garrett.  
    http://www.math.umn.edu/~garrett/m/v/
    
    Extractions: L-functions, and number theory [ambient page updated 09 Oct '10] ... [ home Some of this work has been partially supported by the NSF. Mostly not. Anyone interested in what the NSF has said about my work can email me... Also: functional analysis intro to modular forms buildings notes number theory ... Unbounded operators, Friedrichs extensions, resolvents updated 28 Oct '10] Durham, UK, talk on automorphic spectral theory updated 30 Sep '10]... non-existence of tensor products of Hilbert spaces updated 22 Jul '10]... One of several points to be made about tensor products of topological vector spaces: first, tensor products of Hilbert spaces do not exist, despite a certain cultural mythology. Some further points about Grothendieck's notion of nuclear spaces and Schwartz's kernel theorem will be added later. talk in Newark, May 2010 updated 25 Jun '10]... Example computation in automorphic spectral theory of SL(2,Z[i]). Background, details, proofs: standard estimates updated 06 Jun '10] global automorphic Sobolev spaces updated 06 Jun '10] gauges, convergence arguments

82. Learn Number Theory By Expert Tutors At Tutorvista.c | Tutorvista.com
    Prime Number Numbers which are divisible only by themselves and by “1” are called as prime number. Prime numbers and Composite numbers. A prime number is one that has only  
    http://www.tutorvista.com/content/math/number-theory/number-theory.php

83. Number Theory Glossary
    Compiled by Robert Campbell.  
    http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html

84. Number Theory | Riemann Hypothesis, Navier-Stokes Equations | Superior Mathemati
    Buy online the book 5 Major Theoretical Breakthroughs in the Superior Mathematics wrote by Romanian Mathematician Vasiliu Lucilius. The book is addressed to the very best  
    http://www.number-theory.eu/

85. Number Theory (Lesson Plan) - TeacherVision.com
    In this game, students will apply a variety of mathematical concepts and skills to solve problems and use mathematical reasoning to determine whether a number fits a generalization  
    http://www.teachervision.fen.com/lesson-plan/activity/48940.html
    
    Extractions: var do_survey = 1; click here Free Trial Member Benefits Sign In Oct 31, 2010 Search: United States Teaching Methods and Management Teaching Methods and Strategies Lesson Plan (1213 resources) View 4 more resources at no cost, and then subscribe for full access. Share Grade Levels: This game is similar to 20 questions and can be adjusted to students' level of understanding of numbers and number theory. It provides students an opportunity to think about the many ways numbers can be described (odd/even, whole number, fraction less than or greater than one, prime number, multiple of n The level of this lesson can be adjusted by limiting or expanding the range of the numbers (1 to 50, 1 to 1000, etc.), the number types (whole numbers, fractions, integers, etc.), and the number of questions asked. For primary students, you may want to make a copy of a hundreds chart Draw 20 tally marks on the chalkboard. Tell students you are thinking of a whole number between 1 and 100 and that they may ask up to 20 questions to identify the number. The questions must be phrased so that the answer is either yes or no. Point out that they can use the hundreds chart to keep track of the numbers they eliminate. Proceed with the game, erasing or crossing out one tally mark for each question asked.

86. Math 254A
    Lecture notes and resources on combinatorial number theory by Terence Tao.  
    http://www.math.ucla.edu/~tao/254a.1.03w/
    
    Extractions: Lecture notes 3: Gowers' quantitative Balog-Szemeredi theorem; applications to the Kakeya problem; applications to a multilinear convolution integral. Errata to Q4: The theorem as stated is false; it is best to forget this question entirely. Lecture notes 4: Roth's theorem for APs of length 3; Gowers' proof of Szemeredi's theorem for APs of length 4. Lecture notes 5: Behrend's example; Bourgain's refinement of Roth's theorem. Lecture notes 6: Crossing numbers and Szemeredi's theorem; Elekes's sum-product theorem; Bourgain-Katz-Tao sum-product theorem; finite field Szemeredi-Trotter and distance set problem results. Further reading:

87. Number Theory
    Number Theory section of the sci.math FAQ list.  
    http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html

88. PlanetMath: Number Theory
    Number theory is the branch of math concerned with the study of the integers, and of the objects and structures that naturally arise from their study.  
    http://planetmath.org/encyclopedia/NumberTheory.html
    
    Extractions: number theory (Topic) Number theory is the branch of math concerned with the study of the integers , and of the objects and structures that naturally arise from their study. It is one of the oldest parts of mathematics, alongside geometry , and has been studied at least since the ancient Mesopotamians and Egyptians. Perhaps because of its purely mathematical nature (at least until the development of cryptography and cryptanalysis in the twentieth century, number theory was thought to be devoid of practical applications ), number theory has often been considered as a central and particularly beautiful part of mathematics. Carl Friedrich Gauss , arguably the greatest number theorist of all time, has called mathematics the ``Queen of science'' and he referred to Number Theory as the ``Queen of Mathematics''. Number theory has attracted many of the most outstanding mathematicians in history: Euclid, Diophantus, Fermat, Legendre

89. Active Elementary Number Theory: N*n + 1 And Cid-Pairs
    Interactive (Javascript) expression of a number as a sum of two squares.  
    http://www.hbmeyer.de/taupaeng.htm

90. YouTube - Number Theory - Geometrical Connection (part 1)
    Dec 26, 2007 This is a work i made long time ago, about the prime numbers. It became a wider study. My video got the attention of a math forum called  
    http://www.youtube.com/watch?v=sbjPwyPT1AI

91. Number Theory - Wolfram Mathematica 7 Documentation
    Packing a large number of sophisticated algorithmsmany recent and originalinto a powerful collection of functions, Mathematica draws on almost every major result in number  
    http://reference.wolfram.com/mathematica/guide/NumberTheory.html
    
    Extractions: DOCUMENTATION CENTER SEARCH Mathematica Mathematics and Algorithms Number Theory Mathematica draws on almost every major result in number theory. A key tool for two decades in the advance of the field, Mathematica 's symbolic architecture and web of highly efficient algorithms make it a unique platform for number theoretic experiment, discovery and proof. FactorInteger find the factors of an integer PrimeQ test whether an integer is prime Prime NextPrime PrimePi EulerPhi ... PowerMod modular powers, roots and inverses Mod PrimitiveRoot MultiplicativeOrder ChineseRemainder ... Reduce find general solutions to Diophantine equations FindInstance search for particular solutions to Diophantine equations Element test field, ring, etc. memberships Integers Rationals Reals Algebraics ... Primes Number Representations ContinuedFraction FromContinuedFraction Rationalize IntegerDigits ... DirichletL Dirichlet L-functions Zeta DirichletCharacter LogIntegral ZetaZero ... IntegerPartitions restricted and unrestricted partitions of integers PartitionsP PartitionsQ FrobeniusNumber SquaresR ... PowersRepresentations representations of integers as sums of powers AlgebraicNumber Root GaussianIntegers MinimalPolynomial ... ToNumberField operate in a given algebraic number field NumberFieldDiscriminant NumberFieldIntegralBasis TUTORIALS MORE ABOUT RELATED LINKS

92. Jerome William Hoffman
    Lecture notes by Jerome Huffman (TeX,DVI,PDF).  
    http://www.math.lsu.edu/~hoffman/
    
    Extractions: E-mail : hoffman@math.lsu.edu 2.) I have also been teaching in the REU (Research Experience for Undergraduates) program for the past 5 summers. See the LSU REU link. I have mentored students in many projects, including: zeta functions and modular forms for genus 2 curves, classical invariant theory, zeta functions of graphs. Last summer we explored dessins d'enfants. See Vita for titles of projects.

93. Number Theory
    Number theory is presented by Math Goodies. Learn number theory with instruction on GCF, LCM, primes, composites, exponents and divisibility.  
    http://www.mathgoodies.com/lessons/toc_vol3.html
    
    Extractions: Lessons Worksheets WebQuests Games ... Privacy Number theory is introduced in this unit. Elementary number theory is the study of whole numbers and relations between them. All lessons in this unit are now available online, so choose your topic from the table of contents below! Number Theory Access Description Factors and GCF To define factor and greatest common factor. To find all factors of a whole number. To find the GCF of two or more whole numbers. Multiples and LCM To define multiple and least common multiple. To find multiples of whole numbers. To find the LCM of two or more whole numbers. Prime and Composite

94. MP473 2000
    A course by Keith Matthews. Lecture notes (GIF slides), bibliography, web resources.  
    http://www.numbertheory.org/courses/MP473/
    
    Extractions: Web: http://www.numbertheory.org/keith.html Students are encouraged in tutorials to raise any difficulties encountered with the problem sheets and lecture material. Students should try to keep up to date with study of their lectures, so as to be able to understand subsequent lectures. They are also urged to do as many problems as possible. By doing problems, students will soon discover their strong and weak points. The lecture notes will contain enough explanations and examples to make the definitions, theorems and arguments clear. However some students will need further examples and explanations of certain points and I recommend they peruse books from the reading list below. Most of these books have lots of examples and develop the concepts in greater detail than we have time for in our short course of lectures. The course is an introduction to algebraic number theory, especially quadratic and cyclotomic fields.

95. Number Theory
    My website will teach you the basic of number theory. Factors,multiples, prime and composite numbers .  
    http://www.basic-mathematics.com/number-theory.html

96. Lecture Notes Of Advanced Courses
    Lecture notes by Ching-Li Chai, University of Pennsylvania.  
    http://www.math.upenn.edu/~chai/coursenotes.html

97. A Brief Introduction To Classical And Adelic Algebraic Number Theory
    By William Stein. Text in HTML/DVI/LaTeX/PDF/PS.  
    http://modular.fas.harvard.edu/papers/ant/

98. Number Theory
    Written by an distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students.  
    http://store.doverpublications.com/0486682528.html
    
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99. Algebraic Number Theory
    Course notes by Robin Chapman, University of Exeter, May 2000.  
    http://www.secamlocal.ex.ac.uk/~rjc/courses/ant99/ant99.html
    
    Extractions: This is the home page for the Algebraic Number Theory course. At present it is still under construction. Eventually it will contain copies of course handouts, commentaries on some of my more challenging problems, and useful links. Most files are in dvi format. The course will be closely based on the following book: Ian Stewart and David Tall, Algebraic Number Theory , Chapman and Hall. Alas the paperback is out of print (and the hardback is overpriced) but the following alternative is very cheap (but a bit old-fashioned): Harry Pollard and Harold G. Diamond, The Theory of Algebraic Numbers , Dover. Robin Chapman

100. Research Papers
     Papers on Number Theory and Cryptology (PDF).  
     http://www.csirik.net/papers.html
     
     Extractions: On the genera of X0(N) PDF ), (joint work with Michael Zieve and Joe Wetherell), accepted by the Journal of Number Theory More details The old subvariety of J0(NM) , submitted for publication, 2001 More details The Kernel of the Eisenstein Ideal , in Journal of Number Theory , Vol. 92, No. 2, pp. 348-375, 2002 More details The kernel of the Eisenstein ideal PDF ), Ph.D. dissertation, University of California, Berkeley, 1999 More details An alternative approach to Serre duality for projective varieties short version in PDF long version in PDF ), (joint work with Matt Baker ), manuscript, 1996 More details Cryptography:

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