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         Algebraic Number Theory:     more books (102)
  1. Introduction to the Theory of Algebraic Numbers and Functions by Martin Eichler, 1966
  2. Number Theory and Algebraic Geometry (London Mathematical Society Lecture Note Series)
  3. Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday (Progress in Mathematics)
  4. Algebraic Structures and Number Theory: Proceedings of the 1st International Symposium Hong Kong Aug 8-13 1988 by S. P. Lam, 1990-12
  5. Algebraic K-Theory, Number Theory, Geometry, and Analysis: Proceedings (Lecture Notes in Mathematics)
  6. Algebraic Number Theory: Quadratic Reciprocity
  7. Problems In Algebraic Number Theory - 2nd Edition by Jody smond, 2004
  8. Basic Algebraic Number Theory (Berichte Aus Der Mathematik) by Uwe Kraeft, 2006-03-30
  9. Algebraic Geometry and Algebraic Number Theory: Proceedings of the Special Program at Nankai Institute of Mathematics, Tianjin, China, September 198 (Nankai ... Applied Mathematics & Theoretical Physics) by Ke-Qin Feng, Ke-Zheng Li, 1993-07
  10. Algebraic number theory (Tata Institute of Fundamental Research. Mathematical pamphlets, 4) by Raghavan Narasimhan, 1966
  11. Algebraic Number Theory (Grundlehren der mathematischen Wissenschaften) by Jürgen Neukirch, 2010-11-02
  12. Algebraic number theory (International series in pure and applied mathematics) by Edwin Weiss, 1963
  13. Algebraic number theory (Addison-Wesley series in mathematics) by Serge Lang, 1970
  14. Algebraic Number Theory - 4 th ed., A stereotype. / Algebraicheskaya teoriya chisel - 4-e izd.,stereotip. by German Veyl, 2007

61. Algebraic Number Theory | Mathematical Institute - University Of Oxford
Overview An introduction to algebraic number theory. The aim is to describe the properties of number fields, but particular emphasis in examples will be placed on quadratic fields
Algebraic Number Theory
Algebraic Number Theory
View course material Number of lectures: 16 HT
Course Description
An introduction to algebraic number theory. The aim is to describe the properties of number fields, but particular emphasis in examples will be placed on quadratic fields, where it is easy to calculate explicitly the properties of some of the objects being considered. In such fields the familiar unique factorisation enjoyed by the integers may fail, and a key objective of the course is to introduce the class group which measures the failure of this property.
Learning Outcomes
Students will learn about the arithmetic of algebraic number fields. They will learn to prove theorems about integral bases, and about unique factorisation into ideals. They will learn to calculate class numbers, and to use the theory to solve simple Diophantine equations.
  • field extensions, minimum polynomial, algebraic numbers, conjugates, discriminants, Gaussian integers, algebraic integers, integral basis examples: quadratic fields norm of an algebraic number existence of factorisation factorisation in ideals
  • 62. Yi Ouyang's Homepage
    University of Toronto. Algebraic number theory and arithmetic geometry cohomological tools to study the arithmetic properties of number fields. Publications.
    Yi Ouyang , Postdoctoral Fellow
    Department of Mathematics
    University of Toronto

    100 St. George Street
    Toronto, ON M5S 3G3, Canada
    Phone: (416) 978-4156, (905) 828-3841
    Fax: (416) 978-4107
    Office: Sidney Smith 5016F or South Building 3023C(UTM)
    Welcome to my homepage. I hope you enjoy your stay here.
    My name is Yi Ouyang and in Chinese Ou Yang Yi. I am a postdoctoral fellow of the Department of Mathematics at the University of Toronto.
    • Education
    • Research
      My specialty is algebraic number theory and arithmetic geometry. More specifically, I apply cohomological tools to study the arithmetic properties of number fields. One topic I am studying is the universal norm distributions, which appears quite often in the theory of cyclotomic fields, elliptic curves and modular curves. I determined the group cohomology of some universal norm distributions and used the results to study the Kolyvagin recursions in Euler systems. The other topic I am studying is about the Mordell-Weil group and Selmer group of an abelian variety in number fields, in particular, in a tower of unramified extensions. I am also participating activities in the

    63. Lecture Notes Algebraic Number Theory
    title. author. source. dvi. ps. pdf. html. Algebraic Number Theory. Abhijit Das. Kanpur Algebraic Number Theory. Robert Ash. Univ. Illinois Dedekind's Theory of Algebraic
    Lecture Notes on Algebraic Number Theory
    title author source dvi ps pdf html Algebraic Number Theory Abhijit Das Kanpur Algebraic Number Theory Robert Ash Univ. Illinois Dedekind's Theory of Algebraic Integers Jeremy Avigad Carnegie Mellon Algebraic Number Theory Matt Baker Georgia Algebraic Number Theory I Ching-Li Chai Penn Algebraic Number Theory II Ching-Li Chai Penn Notes on Algebraic Numbers Robin Chapman Exeter Algebraic Number Theory Robin Chapman Exeter Algebraic Number Theory and Quadratic Reciprocity Henry Cohn Micro$oft Bas Edixhoven Leiden Algebraic Number Theory Matthew Emerton Northwestern Univ. Introduction to algebraic number theory Ivan Fesenko Nottingham Local Fields and Their Extensions Ivan Fesenko, S.V. Vostokov Nottingham Algebraic Number Theory Michael Filaseta South Carolina Algebraic Number Theory Dick Gross Harvard Algebra and Number Theory Jerome William Hoffman LSU Euler Systems Barry Mazur Harvard Loic Merel Jussieu Algebraic Number Theory James Milne Ann Arbor Algebraische Zahlentheorie Wolfgang Ruppert Univ. Erlangen Algebraic Number Theory Gregory Sankaran Bath Algebraic Number Theory Rene Schoof Univ. Rome

    64. Vajaitu, Marian
    Romanian Academy of Sciences. Algebraic number theory, analytic number theory, class field theory and theory of algebraic functions.
    CURRICULUM VITAE MARIAN VAJAITU Born: September 27, 1962, Colt, Romania. Address: Romanian Academy, P.O. Box. 1-764, R0-70700 Bucharest, Romania. Studies: I graduated from Department of Mathematics of Mathematics of the University of Bucharest in 1987. The title of Diploma Dissertation was "Riemann's zeta function and applications in Number Theory". The main lectures during this period are: two year a basic course in algebra, an year a basic course in real analysis, complex analysis (a semester), measure theory (a semester), two years a basic course in differential equations, an year of axiomatic and euclidean geometry, an year of differential geometry, an year of functional analysis, a supplementary year of algebra (number theory and groups theory), a course in Algebraic Geometry and one in Algebraic Topology. I studied some classical works in number theory, such as: - analytic number theory (from the books by Ingham, Eduards, Davenport, Titchmarsh, Halberstan, Baker, Bump). - algebraic number theory (from the books by Borevich and Shafarevich, H. Hasse and S. Lang). - valuations and the theory of algebraic functions (from the books by Schilling, Chevalley and Hasse). - class field theory (from the books by Hasse, Chevalley and Neurkirch). I participated also at the seminar of Number Theory lead by Professor N. Popescu devoted to algebraic number theory, analytic number theory, class field theory and theory of algebraic functions.

    65. Private Page Berge
    University Bordeaux. Algebraic number theory and geometry of numbers. Publications, recent work, and links.
    • phone: +33-5-40-00-60-96 (From France : 05-40-00-60-96) fax : +33-5-40-00-69-50 (From France : 05-40-00-69-50)

    • Laboratoire A2X
      33405, Talence cedex
    NEW I am a Mathematics professor at the University Bordeaux 1, emeritus since 2000. My general field of research is number theory. After working for several years on algebraic number theory (Galois module structures, regulators and discriminants), I am presently interested in geometry of numbers.
    Links to WEB pages of some mathematicians working on lattices and coding theory.
  • Christine Bachoc Richard Borcherds Renaud Coulangeon Noam Elkies ...
  • P. H. Tiep
    Recent work

    66. Foundations And Trends In Communications And Information Theory
    by F Oggier 2004 - Cited by 49 - Related articles

    67. Karsten's InternetWebWide World Domination Machine
    Algebraic number theory. Background information and mathematical links.
    Karsten Buecker
    Personal Homepage
    I have spent ten years of my youth studying pure mathematics. However, the more I learnt, the more difficult the p-adic modular forms became... Thus I am now working as a quantitative analyst at a medium-sized hedge fund in London. We are researching diverse trading strategies involving European equities, vanilla options and more complex structured products such as credit derivatives. I obtained my PhD in algebraic number theory at Cambridge University , and after that spent about a year each in the Institut Fourier in Grenoble and at the University of Durham as postdoctoral research fellow.My thesis deals with connections between representations of the absolute Galois group, elliptic curves, L-functions, and modular forms. This framework ("Langlands' philosophy") yielded the proof of the Taniyama-Weil conjecture and Fermat's Last Theorem by Wiles in 1995. My more humble contribution studies some of the ingredients in the case of modular forms on Siegel upper half-space, and formsthe basis of two 20-page papers (unfortunately my memory is fading fast, so don't ask me any technical questions!): More recently, I have done some numerical work on the pricing of arithmetically averaged asian options, i.e. financial instruments whose payoff depends on the average price achieved by the underlying over a specified time. Calls and puts can be priced with a

    68. MIT OpenCourseWare | Mathematics | 18.786 Topics In Algebraic Number Theory, Spr
    This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers, Dirichlet s units theorem,

    69. Algebraic Number Theory - Wolfram Mathematica 7 Documentation
    With its convenient symbolic representation of algebraic numbers, Mathematica's stateof-the-art algebraic number theory capabilities provide a concrete implementation of one
    baselang='AlgebraicNumberTheory.en'; PRODUCTS Mathematica
    Mathematica Home Edition

    Mathematica for Students
    Stephen Wolfram

    DOCUMENTATION CENTER SEARCH Mathematica Mathematics and Algorithms Number Theory Mathematica ... Number Theoretic Functions Algebraic Number Theory With its convenient symbolic representation of algebraic numbers, Mathematica Mathematica 's powerful unified environment. AlgebraicNumber algebraic number represented in a particular field Root represent a root of a polynomial RootApproximant root approximation IsolatingInterval MinimalPolynomial AlgebraicNumberPolynomial AlgebraicIntegerQ ... AlgebraicNumberDenominator Algebraic Number Fields ToNumberField find a common field, or express numbers in a given field NumberFieldIntegralBasis NumberFieldClassNumber NumberFieldDiscriminant NumberFieldRegulator ... NumberFieldRootsOfUnity Factorization FactorInteger factorization of integers Factor factorization of polynomials GaussianIntegers allow factorization over Gaussian integers Extension field extension for number theoretic and polynomial operations RootReduce reduce an algebraic number to minimal Root form ToRadicals convert to explicit radicals TUTORIALS TUTORIAL COLLECTION MORE ABOUT RELATED LINKS Site Index Choose Language Ask a question about this page Suggest an improvement Leave a message for the team

    70. Bosma, Wieb
    Radboud Universiteit Nijmegen. Computer algebra and number theory. Research, publications, and past activities.
    Wieb Bosma
    Universitair HoofdDocent Computer Algebra, Department of Mathematics, Radboud Universiteit Nijmegen, the Netherlands.

    71. Budden
    Armstrong Atlantic State University. Algebraic Number Theory, Automorphic Forms, Representation Theory. Publications.

    Dr. Mark Budden
    Associate Professor
    Office: UH 289
    Curriculum Vitae

    My Mathematical Ancestry
    Research Interests: Algebraic Number Theory, Representation Theory, and Automorphic Forms
    Summer Course: College Algebra
    Seminars: Hudson Math Colloquium and Mathematics Research Seminar PANTS X (PAlmetto Number Theory Series X) was hosted by the AASU Mathematics Department Sept. 19-20, 2009 Publications and Works in Progress (* indicates student coauthor): M. Budden, On the Local Coefficients of Principal Series Representations of Metaplectic Groups (dissertation) pdf M. Budden, Local Coefficient Matrices of Metaplectic Groups Journal of Lie Theory pdf M. Budden, P. Hadavas, L. Hoffman, and C. Pretz, Applied Mathematics E-Notes pdf (Also, see Lorrie Hoffman's program "validcor" at Carnegie Mellon University's StatLib M. Budden, R.J. Eisenmenger*, and J. Kish*, A Generalization of Scholz's Reciprocity Law, pdf M. Budden, P. Hadavas, and L. Hoffman, On the Generation of Correlation Matrices

    72. The Math Forum - Math Library - Algebraic Num. Th.
    The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites
    Browse and Search the Library
    Math Topics Number Theory : Algebraic Num. Th.

    Library Home
    Search Full Table of Contents Suggest a Link ... Library Help
    Selected Sites (see also All Sites in this category
  • Algebraic Number Theory: Global Fields - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to algebraic number theory. Subcategories include rings of algebraic integers, quadratic extensions, Iwasawa theory, Galois theory, Langlands-Weil conjectures, density theorems, Adele rings and groups, class groups and Picard groups of orders, and many more. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>
    All Sites - 24 items found, showing 1 to 24
  • Algebraic Number Theory Archives - Boston, Grayson
    Preprints about algebraic number theory and arithmetic geometry are accepted in electronic form for storage until publication. There are instructions for authors who wish to submit preprints to the archives and for for joining the mailing list (members ...more>>
  • Algebra Through Problem Solving - Hillman, Alexanderson
  • 73. Homepage Of Lindsay N. Childs
    SUNY Albany. Algebra and number theory, especially relative Galois module theory.
    Lindsay N. Childs
    Lindsay N. Childs is Professor of Mathematics at the University at Albany. The following items are available: Revised 12/28/09

    74. Practical Applications Of Algebraic Number Theory? - MathOverflow
    In my introductory course, I like to spend some time on the perspective that algebraic number theory is the study of sophisticated

    75. Free Books > Science > General > Algebraic Number Theory
    Download Book (Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those sites

    76. Keith Conrad's Home Page
    University of Connecticut. Analytic and algebraic number theory. Research and expository papers.
    Keith Conrad
    Job coordinates
    Math Dept. UConn, 196 Auditorium Road Unit 3009
    Storrs, CT 06269-3009 E-mail: kconrad at math dot uconn dot edu.
    Some mathematics
    Research papers
    Expository papers
    UConn Math Club
    MathSciNet ...
    Number theory web
    The math resources page at Penn State
    NUMDAM, in english or french
    The GTM test
    Greek alphabet
    A song parody
    Excerpts from the New York Times
    Read very carefully the course description of MAT 311 here . (This is not made up.)
    Current courses
    On leave
    Summer program courses
    Diophantine Equations (Ross program, Summer 2008)
    Elliptic Curves and Arithmetic Progressions of Squares (Ross program, Summer 2007)
    Sums of squares (USA/Canada Mathcamp, Summer 2005)
    Quaternion algebras (Ross program, Summer 2004) ... -functions (PROMYS program, Summer 2000)
    Some pictures
    Some links

    77. Midwest Algebraic Number Theory Day
    University of Illinois at Chicago, USA; 10 May 2003.

    78. UR Department Of Mathematics - Naomi Jochnowitz
    University of Rochester. Algebraic number theory, modular forms, p-adic modular forms.
    Naomi Jochnowitz
    Department of Mathematics
    University of Rochester
    Rochester, NY 14627
    Office: Hylan 1003
    Fax: (716) 244-6631
    Research Interests
    Algebraic number theory, modular forms, p-adic modular forms.

    79. Algebraic Number Theory Tom Weston
    File Format PDF/Adobe Acrobat

    ALGEBRAIC NUMBER THEORY 3 Notations ∅—theemptyset (asetwithoutany elements). a∈A —aisanelementof the set A. (Or an element a of the set A.) a/ ∈A —aisnotanelement

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