Online number theory lecture notes and teaching materials

Selected from N4.html

  1. Lecture notes in Greek (Jannis Antoniadis)
  2. Algebraic Number Theory and commutative algebra, lecture notes by Robert Ash
  3. Lecture notes on p-adic numbers and introductory number theory (Andrew Baker)
  4. Algebraic number theory notes (Matt Baker - pdf)
  5. Cours d'arithmétique, notes by Pascal Boyer
  6. Algebra 2 - number theory for teacher education, Michal Bulant (in Czech)
  7. L-functions (lecture course by Kevin Buzzard)
  8. MAS4002: Algebraic Number Theory, Course notes by Robin Chapman, University of Exeter
  9. Algebraic Number Theory and Automorphic L-functions, lecture notes by Ching-Li Chai
  10. Curso avanzado de Teoría de Números (Fernando Chamizo)
  11. Lectures on irregularities of point distribution, (notes by William Chen)
  12. Elementary and Analytic Number Theory, Lecture notes by William Chen
  13. Math 4400/6400 - Number Theory (Pete Clark)
  14. Computational class field theory, A course given at the Middle East Technical University, Ankara, 1997 by Henri Cohen (dvi 255K)
  15. Draft chapters of elliptic curve handbook ECH1
  16. Modular forms (Igor Dolgachev)
  17. The Modular curves X0(N), Lecture notes by Bas Edixhoven
  18. Lecture notes for Math 259: Introduction to Analytic Number Theory (Spring 1998) (Noam Elkies)
  19. Course notes for analytic number theory (Graham Everest) (ps 442K)
  20. Course Notes for elementary and algebraic number theory, local fields, Ivan Fesenko
  21. Math 780: Elementary Number Theory, Notes by Michael Filaseta, 1997
  22. Lectures on cryptography, Heraklion, Crete 2003, (Gerhard Frey)
  23. Vinogradov's three-primes theorem, notes by Timothy Gowers (dvi 54K)
  24. Notes on sieve theory (Ben Green)
  25. Elementary Number Theory, by Peter Hackman (corrections and comments to the author at pehac@mai.liu.se)
  26. Vorlesung Elementare Zahlentheorie mit Übungsblätter (Karin Halupczok)
  27. Lecture notes on algebraic number theory (Jerome Hoffman)
  28. Lecture notes on elementary number theory (Bruce Ikenaga)
  29. Math 254B (Number Theory), lecture notes on class field theory, abelian extensions of number fields etc (Kiran Kedlaya)
  30. 18.785: Analytic Number Theory (MIT, Spring 2007, Kiran Kedlaya)
  31. Cours de cryptographie, notes by Alain Kraus
  32. Algebraic Number Theory, Lecture Notes by Franz Lemmermeyer
  33. Topics in Algebraic Geometry: Elliptic Curves, Lecture course by Franz Lemmermeyer
  34. Number theory lecture notes from Leiden University
  35. Seminar Notes on Elliptic Curves and Formal Groups: J. Lubin, J.-P. Serre and J. Tate, Summer Institute on Algebraic Geometry, Woods Hole, 1964
  36. Course notes in elementary number theory by Rudolph Maier (in Portuguese)
  37. Math 539, 2005, Lecture notes on analytic number theory by Greg Martin
  38. Introduction to number theory (MATH 4803/5803), lecture notes by Kimball Martin
  39. Number theory ii (MATH 6393), lecture notes on algebraic number theory by Kimball Martin
  40. Modular forms (MATH 6393), lecture notes by Kimball Martin
  41. MP313 and MP473 number theory course notes, problems and solutions by Keith Matthews
  42. Math 574 - A Graduate course in automorphic forms and representations (Stephen Miller)
  43. Course Notes by Jim Milne: Algebraic number theory, Class field theory, Algebraic Geometry, Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology
  44. Elementare Zahlentheorie und Problemlösen, Herbert Möller
  45. DEA 2003/04: Elliptic functions and elliptic curves, lecture notes by Jan Nekovář
  46. Maple Tutorial for Number Theory (Don Rideout)
  47. Vorlesungen über Zahlentheorie, Elliptische Kurven und Kryptographie, (Wolfgang Ruppert)
  48. Lecture notes on elementary number theory (David Santos)
  49. Draft of PCMI Lecture Notes on Open Questions in Arithmetic Algebraic Geometry (Alice Silverberg) (ps file 803K)
  50. Elementare Zahlentheorie, Lecture notes by Heinz Spindler
  51. MA253, notes by Jeff Hoffstein of a first course in algebraic number theory given by Harold Stark
  52. An explicit approach to elementary number theory (Course notes by William Stein)
  53. Algebraic number theory course book (William Stein)
  54. Ken Ribet's Modular Forms and Hecke Operators Course (Notes by William A. Stein)
  55. Number rings, local fields, elliptic curves, lecture notes by Peter Stevenhagen
  56. Course notes on analytic number theory, algebraic number theory, linear forms in logarithms and diophantine equations (Cameron Stewart)
  57. Elliptische Kurven I/II, (Lecture notes in German by Michael Stoll)
  58. Introductory Number Theory (Course notes by Michael Stoll)
  59. Descent on Elliptic Curves (Course notes by Michael Stoll)
  60. Exercises on binary quadratic forms to supplement David Cox's book Primes of the Form x2+ny2 (Jeff Stopple)
  61. Combinatorial and Analytic Number Theory, (Robert Tijdeman 2007)
  62. Math 571 Analytic Number Theory I, Fall 2004 (Bob Vaughan)
  63. Math 7280, Fall 2004, elliptic curves (Helena Verrill)
  64. Math 7280, Spring 2004, modular forms (Helena Verrill)
  65. Diophantine geometry in characteristic p: a survey, (Felipe Voloch)
  66. Introduction to Diophantine methods: irrationality and transcendence, course notes by Michel Waldschmidt
  67. Cours de théorie des nombres, notes by Michel Waldschmidt
  68. Lecture notes on valuations and dynamics (Thomas Ward)
  69. The SlugMath Wiki, A mathematical resource at UC Santa Cruz created by Martin H. Weissman. Topics include basic number theory, quadratic residues
  70. Algebraic number theory course notes (Tom Weston)
  71. Notes on elementary number theory (David Wilkins)
  72. Vorlesungsmanuskripte und Übungen zur Zahlentheorie (Dieter Wolke)
  73. Circulants, an online book by Alun Wyn-Jones
  74. Introduzione alla Teoria Analitica dei Numeri, lecture notes by Alessandro Zaccagnini

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Last modified 7th November 2011