Literatura iz teorije brojeva

Slijedi popis literature koja se preporuča poslijediplomskim studentima, članovima Seminara za teoriju brojeva i algebru. Sve navedene knjige su dostupne i to:
(B) - središnja matematička knjižnica PMF-Matematički odjel
(N) - Nacionalna i sveučilišna knjižnica
(D) - ured A. Dujelle
(k) - netko od članova seminara ima kopiju knjige

Ako imate bilo kakvu sugestiju u svezi ovog popisa, molim da mi ju javite.

Suvoditelj seminara: Andrej Dujella



Elementarna teorija brojeva i opći udžbenici
Algebarska teorija brojeva
Analitička teorija brojeva
Algebarska geometrija
Eliptičke krivulje
Diofantske jednadžbe
Diofantske aproksimacije
Prosti brojevi, faktorizacija, primjene u kriptografiji
Neke specijalne teme
Povijest teorije brojeva, sabrana djela
Web stranice nekih kolegija iz teorije brojeva

Elementarna teorija brojeva i opći udžbenici

  1. A. Adler, J.E. Coury: The Theory of Numbers. A Text and the Source Book of Problems, Jones and Barlett Publishers, 1995. (D)

  2. J. Agnew: Explorations in number theory, Brooks/Cole Publishing Company, 1972. (B)

  3. T. Andreescu, D. Andrica, Z. Feng: 104 Number Theory Problems From the Training of the USA IMO Team, Birkhäuser, 2007. (B)

  4. G.E. Andrews: Number Theory, Dover Publications, 1994. (B,D)

  5. W.S. Anglin: The Queen of Mathematics. An Introduction to Number Theory, Kluwer Academic Publishers, 1995. (B)

  6. A. Ash, R. Gross: Summing it up : from one plus one to modern number theory, Princeton University Press, 2018. (B)

  7. A. Baker: A Concise Introduction to the Theory of Numbers, Cambridge University Press, 1994. (B,D)

  8. A. Baker: A Comprehensive Course in Number Theory, Cambridge University Press, 2012. (B,D)

  9. A.H. Beiler: Recreations in the Theory of Numbers, Dover, 1966. (D)

  10. C.J. Bradley: Introduction to Number Theory, United Kingdom Mathematics Trust, 2010. (B,D)

  11. D.M. Burton: Elementary Number Theory, Brown Publishers, 1989. (B)

  12. T. Cai: The Book of Numbers, World Scientific, 2017. (D)

  13. W.A. Coppel: Number Theory. An Introduction to Mathematics: Part A, B, Springer, 2006. (B)

  14. H. Davenport: The Higher Arithmetic, Cambridge University Press, 1999. (B)

  15. L.E. Dickson: Introduction to the Theory of Numbers, Dover, 1957. (B)

  16. A. Dujella: Number Theory, Skolska knjiga, Zagreb, 2021. (B)

  17. D. Duverney: Number Theory. An Elementary Introduction Through Diophantine Problems, World Scientific, 2010. (D)

  18. U. Dudley: Elementary Number Theory, Freeman, 1978. (B)

  19. H.M. Edwards: Higher Arithmetic: An Algorithmic Introduction to Number Theory, American Mathematical Society, 2008. (D)

  20. P. Erdös, J. Suranyi: Topics in the Theory of Numbers, Springer-Verlag, 2003. (B)

  21. M. Erickson, A. Vazzana: Introduction to Number Theory, Chapman & Hall/CRC, 2008. (k)

  22. G. Everest, T. Ward: An Introduction to Number Theory, Springer-Verlag, 2005. (D)

  23. A. Granville: Number Theory Revealed: An Introduction, American Mathematical Society, 2019. (B)

  24. A. Granville: Number Theory Revealed: A Masterclass, American Mathematical Society, 2019. (B)

  25. E. Grosswald: Topics from the Theory of Numbers, Birkhauser, 1984. (B)

  26. F. Halter-Koch: Quadratic irrationals. An introduction to classical number theory, CRC Press, 2013. (D)

  27. G.H. Hardy, E.M. Wright: An Introduction to the Theory of Numbers, Oxford University Press, 1980, 2008. (B,D)

  28. J. Herman, R. Kucera, J. Simsa: Equations and Inequalities. Elementary Problems and Theorems in Algebra and Number Theory, Springer, 2000. (B)

  29. L.-K. Hua: Introduction to Number Theory, Springer-Verlag, 1982. (B)

  30. B. Hutz: An Experimental Introduction to Number Theory, American Mathematical Society, 2018. (B)

  31. K. Ireland, M. Rosen: A Classical Introduction to Modern Number Theory, Springer-Verlag, 1998. (B,D)

  32. B.W. Jones: The Theory of Numbers, Rinehart, 1957. (D)

  33. G.A. Jones, J.M. Jones: Elementary Number Theory, Springer-Verlag, 2005. (B,D)

  34. L.A. Kaluzhnin: The fundamental theorem of arithmetic, Mir publishers, 1979. (B)

  35. J.-M. de Koninck, A. Mercier: 1001 Problems in Classical Number Theory, American Mathematical Society, 2007. (B)

  36. T. Koshy: Elementary Number Theory with Applications, Academic Press, 2002. (B)

  37. E. Landau: Elementary Number Theory, Chelsea, 1966. (B)

  38. W.J. LeVeque: Elementary Theory of Numbers, Dover, 1990. (B,D)

  39. W.J. LeVeque: Fundamentals of Number Theory, Dover, 1996. (D)

  40. W.J. LeVeque: Topics in Number Theory. Volumes I and II, Dover, 2002. (B,D)

  41. Yu.I. Manin, A.A. Panchishkin: Introduction to Modern Number Theory, Springer-Verlag, 2005. (B)

  42. S.J. Miller, R. Takloo-Bighash: An Invitation to Modern Number Theory, Princeton University Press, 2006. (B,D)

  43. R. Mollin: Fundamental Number Theory with Applications, CRC Press, 1997. (D)

  44. T. Nagell: Introduction to Number Theory, Chelsea, 1981. (B)

  45. W. Narkiewicz: Number Theory, World Scientific, 1983. (D)

  46. I.M. Niven, H.S. Zuckerman, H.L. Montgomery: An Introduction to the Theory of Numbers, John Wiley & Sons, 1991. (B,N,D)

  47. C.S. Ogilvy, J.T. Anderson: Excursions in Number Theory, Dover, 1988. (D)

  48. O. Ore: Invitation to Number Theory, Mathematical Association of America, 1967. (B)

  49. N. Robbins: Beginning Number Theory, Wm. C. Brown Publishers, 1993. (D)

  50. H.E. Rose: A Course in Number Theory, Oxford University Press, 1995. (B,D)

  51. K.H. Rosen: Elementary Number Theory and Its Applications, Addison Wesley, 1993, 2011. (B,D)

  52. J. Sandor, B. Crstici: Handbook of Number Theory II, Kluwer, 2004. (B)

  53. D. Shanks: Solved and Unsolved Problems in Number Theory, Chelsea, 1985. (D)

  54. H. N. Shapiro: Introduction to the Theory of Numbers, Wiley, 1983. (D)

  55. J.E. Shockley: Introduction to Number Theory, Holt, Rinehart and Winston, 1967. (D)

  56. W. Sierpinski: Elementary Theory of Numbers, PNW, North Holland, 1987. (B,N)

  57. J.H. Silverman: A Friendly Introduction to Number Theory, Prentice Hall, 2001. (D)

  58. H.M. Stark: An Introduction to Number Theory, Markham, 1970. (D)

  59. W. Stein: Elementary Number Theory: Primes, Congruences, and Secrets. A Computational Approach, Springer, 2009. (D)

  60. B.M. Stewart: Theory of Numbers, Macmillan, 1964. (B)

  61. J. Stillwell: Elements of Number Theory, Springer-Verlag, 2002. (B)

  62. B.A. Venkov: Elementary Number Theory, Wolters-Noordhoff, 1970. (B)

  63. I.M. Vinogradov: Elements of Number Theory, Dover, 1954. (B,D)

  64. A. Weil: Number Theory for Beginners, Springer-Verlag, 1979. (B)

  65. M.H. Weissman: An Illustrated Theory of Numbers, American Mathematical Society, 2017. (B)


Algebarska teorija brojeva

  1. S. Alaca, K.S. Williams: Introductory Algebraic Number Theory, Cambridge University Press, 2004. (D)

  2. E. Artin, J. Tate: Class Field Theory, W. A. Benjamin, 1967. (B)

  3. R.B. Ash: A course in algebraic number theory, Dover, 2010. (B)

  4. Z.I. Borevich, I.R. Shafarevich: Number Theory, Academic Press, 1986. (B)
    Zahlentheorie, Birkhauser, 1996. (B)

  5. D.A. Buell: Binary Quadratic Forms, Springer-Verlag, 1989. (D)

  6. J.W.S. Cassels: Rational Quadratic Forms, Dover, 2008. (D)

  7. H. Cohen: A Course in Computational Algebraic Number Theory, Springer-Verlag, 1993. (B,D)

  8. H. Cohen: Advanced topics in computational number theory, Springer-Verlag, 2000. (B,D)

  9. H. Cohn: Advanced Number Theory, Dover, 1980. (D)

  10. H. Cohn: A Classical Invitation to Algebraic Numbers and Class Fields, Springer-Verlag, 1995. (B)

  11. D.A. Cox: Primes of the Form x2 + ny2, John Wiley & Sons, 1989. (B,D)

  12. H.M. Edwards: Divisor Theory, Birkhäuser, 1990. (B)

  13. H.M. Edwards: Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory, Springer-Verlag, 1996. (B,D)

  14. M. Eichler: Introduction to the Theory of Algebraic Numbers and Functions, Academic Press, 1966. (B)

  15. P. Eymard, J.-P. Lafon, The number π, American Mathematical Society, 2004. (B,N)

  16. A. Fröhlich, M.J.Taylor: Algebraic Number Theory, Cambridge University Press, 2000. (B)

  17. G. Gras, Class field theory. From theory to practice, Springer-Verlag, 2003. (B)

  18. H. Hancock: Foundations of the Theory of Algebraic Numbers, Vol.1, Dover, 1964. (B)

  19. H. Hancock: Foundations of the theory of algebraic numbers, Vol.2, Dover, 1964. (B)

  20. H. Hasse: Number Theory, Springer-Verlag, 1980. (B,N)

  21. E. Hecke: Lectures on the Theory of Algebraic Numbers, Springer-Verlag, 1981. (B)

  22. D. Hilbert: The Theory of Algebraic Number Fields, Springer-Verlag, 1998. (B)

  23. K. Ireland, M. Rosen: A Classical Introduction to Modern Number Theory, Springer-Verlag, 1998. (B,D)

  24. G.J. Janusz: Algebraic Number Fields, American Mathematical Society, 1995. (B,D)

  25. F. Jarvis: Algebraic Number Theory, Springer, 2014. (B)

  26. B.W. Jones: The Arithmetic Theory of Quadratic Forms, John Wiley & Sons, 1950. (D)

  27. H. Koch: Algebraic Number Theory, Springer-Verlag, 1997. (B,N,D)

  28. E. Landau: Einfuhrung in die Elementare und Analytische Theorie der Algebraischen Zahlen und der Ideale, Chelsea, 1949. (B)

  29. S. Lang: Algebraic Numbers, Addison-Wesley, 1964. (B)

  30. S. Lang: Algebraic Number Theory, Springer-Verlag, 1994. (B)

  31. S. Lang: Complex Multiplication, Springer-Verlag, 1983. (B,D)

  32. S. Lang, Cyclotomic fields I and II, Springer-Verlag, 1990. (B)

  33. J.L. Lehman: Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic, Mathematical Association of America, 2019. (B)

  34. F. Lemmermeyer: Reciprocity Laws. From Euler to Eisenstein, Springer, 2000. (B)

  35. D.A. Marcus: Number Fields, Springer-Verlag, 1997. (B)

  36. R.A. Mollin: Quadratics, CRC Press, 1996. (D)

  37. W. Narkiewicz: Elementary and Analytic Theory of Algebraic Numbers, Polish Scientific Publishers, 1974; Springer, 2004. (B)

  38. W. Narkiewicz, The Story of Algebraic Numbers in the First Half of the 20th Century, Springer, 2018. (B)

  39. J. Neukirch: Algebraic Number Theory, Springer-Verlag, 1999. (B)

  40. O.T. O'Meara: Introduction to Quadratic Forms, Springer-Verlag, 1973. (B)

  41. M. Pohst, H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge University Press, 1997. (B)

  42. P. Pollack, A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond Z, American Mathematical Society, 2017. (B)

  43. H. Pollard, H.G. Diamond: The Theory of Algebraic Numbers, Dover, 1998. (D)

  44. M. Ram Murty, J. Esmonde: Problems in Algebraic Number Theory, Springer, 2005. (B)

  45. P. Ribenboim: Classical theory of algebraic numbers, Springer, 2001. (B,N)

  46. P. Samuel: Algebraic Theory of Numbers, Dover, 2008. (B,D)

  47. J.-P. Serre: A Course in Arithmetic, Springer-Verlag, 1996. (B)

  48. G. Shimura: Complex multiplication of Abelian varieties: and its applications to number theory, Mathematical Society of Japan, 1961. (B)

  49. I. Stewart, D. Tall: Algebraic Number Theory, Chapman-Hall, 1987; A K Peters, 2002. (B)

  50. H. Stichtenoth: Algebraic Function Fields and Codes, Springer-Verlag, 1993. (B,D)

  51. P. Swinnerton-Dyer: A Brief Guide to Algebraic Number Theory, Cambridge University Press, 2001. (B)

  52. R.J. Walker: Algebraic Curves, Springer-Verlag, 1978. (B)

  53. L.C. Washington: Introduction to Cyclotomic Fields, Springer-Verlag, New York, 1982, 1997. (B,D)

  54. A. Weil: Basic Number Theory, Springer-Verlag, 1995. (B,N)

  55. S.H. Weintraub: Factorization. Unique and Otherwise, CMS, A K Peters, 2008. (D)

  56. H. Weyl: Algebraic theory of numbers, Princeton University Press, 1971. (B)


Analitička teorija brojeva

  1. T.M. Apostol: Introduction to Analytic Number Theory, Springer-Verlag, 1976. (B)

  2. P.T. Bateman, H.G. Diamond: Analytic Number Theory. An Introductory Course, World Scientific, 2004. (D)

  3. J.M. Borwein, P.B. Borwein: Pi and the AGM. A Study in Analytic Number Theory and Computational Complexity, Wiley, 1987. (B)

  4. H.H. Chan: Analytic Number Theory for Undergraduates, World Scientific, 2009. (D)

  5. K. Chandrasekharan: Introduction to Analytic Number Theory, Springer-Verlag, 1969. (B,N)

  6. K. Chandrasekharan: Arithmetical Functions, Springer-Verlag, 1970. (B,D)

  7. H.M. Davenport: Multiplicative Number Theory, Springer-Verlag, 1980. (B,D)

  8. J.-M. De Koninck, F. Luca: Analytic Number Theory. Exploring the Anatomy of Integers, American Mathematical Society, 2012. (D)

  9. H. Edwards: Riemann's Zeta Function, Academic Press, 1974. (B)

  10. G. Ewald: Combinatorial Convexity and Algebraic Geometry, Springer, 1996. (B)

  11. J.B. Friedlander, D.R. Heath-Brown, H. Iwaniec, J. Kaczorowski: Analytic Number Theory, Lecture Notes in Mathematics 1891, Springer-Verlag, 2006. (B)

  12. J.B. Friedlander, H. Iwaniec: Opera de cribro, American Mathematical Society, 2010. (B)

  13. A.O. Gelfond, Yu. V. Linnik: Elementary Methods in Analytic Number Theory, Rand McNally, 1965. (B)

  14. L.J. Goldstein: Analytic Number Theory, Prentice-Hall, 1971. (B)

  15. H. Halberstam, H.-E. Richert: Sieve Methods, Academic Press, 1974. (B)

  16. H. Hida: Elementary theory of L-functions and Eisenstein Series, Cambridge University Press, 1993. (B)

  17. M.N. Huxley: The Distribution of Prime Numbers: Large Sieves and Zero-density Theorems, Clarendon Press, 1972. (B)

  18. J. Igusa: An introduction to the theory of local Zeta functions, American Mathematical Society, 2000. (B)

  19. A.E. Ingham: The Distribution of Prime Numbers, Cambridge University Press, 1990. (B,D)

  20. A. Ivic: The Riemann Zeta-Function: The Theory of the Riemann Zeta-Function with Applications, Wiley, New York, 1985. (D)

  21. H. Iwaniec, E. Kowalski: Analytic Number Theory, American Mathematical Society, 2004. (B,D)

  22. G.J.O. Jameson: The Prime Number Theorem, Cambridge University Press, 2004. (B)

  23. M. Jutila: Lectures on a method in the theory of exponential sums, Springer-Verlag, 1987. (B)

  24. J. Knopfmacher: Abstract analytic number theory, North-Holland 1975. (B)

  25. D. Koukoulopoulos: The distribution of prime numbers, American Mathematical Society, 2019. (B)

  26. E. Landau: Einfuhrung in die elementare und analytische Theorie der algebraische Zahlen und der Ideale, Chelsea, 1949. (B)

  27. B. Mazur, V. Stein: Prime Numbers and the Riemann Hypothesis, Cambridge University Press, 2016. (B)

  28. H. L. Montgomery, R. C. Vaughan: Multiplicative Number Theory I. Classical Theory, Cambridge University Press, 2007. (B,D)

  29. C.L. Moreno: Advanced analytic number theory: L-functions, American Mathematical Society, 2005. (B)

  30. Y. Motohashi: Lectures on Sieve Methods and Prime Number Theory, Springer, 1983. (B)

  31. W. Narkiewicz, The Development of Prime Number Theory: from Euclid to Hardy and Littlewood, Springer, 2000. (B)

  32. D.J. Newman: Analytic Number Theory, Springer-Verlag, 1997. (B)

  33. S.J. Patterson: An Introduction to the Theory of the Riemann Zeta-Function, Cambridge University Press, 1995. (B)

  34. P. Pollack: Not Always Buried Deep, American Mathematical Society, 2009. (D)

  35. H. Rademacher: Topics in Analytic Number Theory, Springer-Verlag, 1973. (B,N)

  36. M. Ram Murty: Problems in Analytic Number Theory, Springer-Verlag, 2001. (B)

  37. J.-P. Serre: A Course in Arithmetic, Springer-Verlag, 1996. (B)

  38. I. Shparlinski: Cryptographic Applications of Analytic Number Theory, Birkhauser, 2003. (B)

  39. J. Stopple: A Primer of Analytic Number Theory. From Pythagoras to Riemann, Cambridbe University Press, 2003. (B)

  40. G. Tenenbaum: Introduction to Analytic and Probabilistic Number Theory, Cambridge University Press, 1995. (D)

  41. G. Tenenbaum, M. Mendes France: The Prime Numbers and Their Distribution, American Mathematical Society, 2000. (D)

  42. E.C. Titchmarsh: The Theory of the Riemann Zeta-Function, Claredon Press, 1986. (B)

  43. I.M. Vinogradov: The Method of Trigonometrical Sums in the Theory of Numbers, Dover, 2004. (D)


Algebarska geometrija

  1. V. Alexeev, V.V. Nikulin: Del Pezzo and K3 Surfaces, MSJ Memoirs 15, Mathematical Society of Japan, Tokyo, 2006. (B)

  2. E. Arbarello, M. Cornalba, P.A. Griffits, J. Harris: Geometry of Algebraic Curves, Volume I, Springer-Verlag, 1985. (B)

  3. E. Arbarello, M. Cornalba, P.A. Griffits: Geometry of Algebraic Curves, Volume II, Springer, 2011. (B)

  4. V.I. Arnold: Real algebraic geometry, Springer, 2013. (B)

  5. W.L. Baily, T. Shioda: Complex Analysis and Algebraic Geometry. A Collection of Papers Dedicated to K. Kodaira, Cambridge University Press, 1977. (B)

  6. A. Baker, G. Wüstholz: Logarithmic Forms and Diophantine Geometry, Cambridge University Press, Cambridge, 2008. (D)

  7. W.P. Barth, K. Hulek, C.A.M. Peters, A. Van de Ven: Compact Complex Surfaces, Springer-Verlag, 2004. (B)

  8. S. Basu, R. Pollack, M.-F. Roy, Algorithms in Real Algebraic Geometry, Springer, 2006. (B)

  9. M.C. Beltrametti, E. Carletti, D. Gallarati, G.M. Bragadin: Lectures on Curves, Surfaces and Projective Varieties. A Classical View of Algebraic Geometry, European Mathematical Society, 2009. (B)

  10. R. Bix: Conics and Cubics. A Concrete Introduction to Algebraic Curves, Springer, 2006. (B)

  11. E. Bombieri, W. Gubler: Heights in Diophantine Geometry, Cambridge University Press, 2006. (B)

  12. C. Carstensen, B. Fine, G. Rosenberg: Abstract Algebra: Applications to Galois Theory, Algebraic Geometry and cryptography, De Gruyter, 2011. (B)

  13. G. Cornell, J.H. Silverman (Eds.): Arithmetic Geometry, Springer-Verlag, 1998. (B)

  14. D.A. Cox, S. Katz: Mirror Symmetry and Algebraic Geometry, American Mathematical Society, 1999. (B)

  15. D. Cox, J. Little, D. O’Shea: Ideals, Varieties, and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra, Springer-Verlag, 2007. (B)

  16. D. Cox, J. Little, D. O’Shea: Using Algebraic Geometry, Springer-Verlag, 2005. (B)

  17. D.A. Cox, S. Katz: Mirror Symmetry and Algebraic Geometry, American Mathematical Society, 1999. (B)

  18. O. Debarre: Higher-Dimensional Algebraic Geometry, Springer, 2001. (B)

  19. W. Decker, C. Lossen: Computing in Algebraic Geometry. A Quick Start using SINGULAR, Springer, 2006. (B)

  20. H.M. Edwards: Divisor Theory, Birkhäuser, 1990. (B)

  21. D. Eisenbud: Commutative Algebra : with a View Toward Algebraic Geometry, Springer-Verlag, 1995. (B)

  22. D. Eisenbud: The Geometry of Syzygies: a Second Course in Commutative Algebra and Algebraic Geometry, Springer, 2005. (B)

  23. D. Eisenbud, D.R. Grayson, M. Stillman, B. Sturmfels, (Eds.): Computations in Algebraic Geometry with Macaulay 2, Springer-Verlag, 2002. (B)

  24. G. Everest, T. Ward: Heights of Polynomials and Entropy in Algebraic Dynamics, Springer-Verlag, 1999. (B,D)

  25. M.D. Fried, M. Jarden: Field Arithmetic, Springer, 2008. (B)

  26. W. Fulton: Algebraic Curves. An Introduction to Algebraic Geometry, W. A. Benjamin, 1969. (B,D)

  27. W. Fulton: Intersection Theory, Springer-Verlag, 1998. (B)

  28. T. Garrity, R. Belshoff, L. Boos, R. Brown, C. Lienert, D. Murphy, J. Navarra-Madsen, P. Poitevin, S. Robinson, B. Snyder, C. Werner: Algebraic Geometry. A Problem Solving Approach, American Mathematical Society, 2013. (B)

  29. M. Geck: An Introduction to Algebraic Geometry and Algebraic Groups, Oxford University Press, 2003. (B)

  30. E. Girondo, G. Gonzalez-Diez: Introduction to compact Riemann surfaces and dessins d'enfants, Cambridge University Press, 2012. (B)

  31. U. Görtz, T. Wedhorn: Algebraic Geometry I. Schemes. With Examples and Exercises, Vieweg, Teubner, 2010. (B)

  32. P. Griffiths, J. Harris: Principles of Algebraic Geometry, John Wiley, 1994. (B)

  33. J. Harris: Algebraic Geometry : A First Course, Springer-Verlag, 1992. (B)

  34. J. Harris, I. Morrison: Moduli of Curves, Springer-Verlag, 1998. (B)

  35. R. Hartshorne: Algebraic Geometry, Springer-Verlag, 1997. (B,N)

  36. B. Hassett: Introduction to Algebraic Geometry, Cambridge University Press, 2007. (B)

  37. M. Hindry, J.H. Silverman: Diophantine Geometry. An Introduction, Springer-Verlag, 2000. (B,D)

  38. W.V.D. Hodge, D. Pedoe: Methods of Algebraic Geometry, Cambridge University Press, 1968. (B)

  39. A. Holme: A Royal Road to Algebraic Geometry, Springer, 2012. (B)

  40. N.E. Hurt: Many Rational Points: Coding Theory and Algebraic Geometry, Kluwer, 2003. (B)

  41. D. Huybrechts: Lectures on K3 surfaces, Cambridge University Press, 2016. (B)

  42. S. Iitaka: Algebraic Geometry : An Introduction to Birational Geometry of Algebraic Varieties, Springer-Verlag, 1982. (B)

  43. F. Ischebeck, R. Rao: Ideals and Reality, Springer, 2005. (B)

  44. K. Kendig: Elementary Algebraic Geometry, Springer-Verlag, 1977. (B)

  45. E. Kunz: Introduction to Commutative Algebra and Algebraic Geometry, Birkhauser, 1985. (B)

  46. S. Lang: Diophantine Geometry, John Wiley, 1962. (B)

  47. S. Lang: Introduction to Algebraic Geometry, John Wiley, 1964. (B)

  48. R. Lazarsfeld: Positivity in algebraic geometry, I, II, Springer, 2004. (B)

  49. S. Lefschetz: Algebraic Geometry, Dover, 2005. (B,D)

  50. Q. Liu: Algebraic Geometry and Arithmetic Curves, Oxford University Press, 2002. (B,N)

  51. D. Lorenzini: An Invitation to Arithmetic Geometry, American Mathematical Society, 1996. (B)

  52. Yu.I. Manin, A.A. Panchishkin: Introduction to Modern Number Theory, Springer-Verlag, 2005. (B)

  53. D. Mumford: Algebraic Geometry I : Complex Projective Varieties, Springer-Verlag, 1976. (B,N)

  54. D. Mumford: The Red Book of Varieties and Schemes, Springer-Verlag, 1999. (B)

  55. A.N. Parshin, I.R. Shafarevich (Eds.): Algebraic Geometry IV. Linear Algebraic Groups. Invariant Theory, Springer-Verlag, 1994. (B)

  56. A.N. Parshin, I.R. Shafarevich (Eds.): Algebraic Geometry V. Fano Varieties, Springer-Verlag, 2001. (B)

  57. A. Prestel, C. N. Delzell: Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra, Springer-Verlag, 2004. (B)

  58. M. Reid: Undergraduate Algebraic Geometry, Cambridge University Press, 1994. (N)

  59. G.D.V. Salvador: Topics in the Theory of Algebraic Function Fields, Birkhäuser, 2006. (B)

  60. M. Schlichenmaier: An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces, Springer-Verlag, 2007. (B)

  61. A. Seidenberg: Elements of the Theory of Algebraic Curves, Addison-Wesley, 1968. (B)

  62. I.R. Shafarevich: Basic Algebraic Geometry 1 : Varieties in Projective Space, Springer-Verlag, 1994, 2013. (B,N)

  63. I.R. Shafarevich: Basic Algebraic Geometry 2: Schemes and Complex Manifolds, Springer-Verlag, 2013. (B)

  64. G. Shimura: Introduction to the Arithmetic Theory of Automorphic Functions, Princeton University Press, 1994. (B)

  65. G. Shimura, Y. Taniyama: Complex Multiplication of Abelian Varieties and Its Applications to Number Theory, The Mathematical Society of Japan, 1961. (B)

  66. J.H. Silverman: The Arithmetic of Elliptic Curves, Springer-Verlag, 1996, 2009. (B,D)

  67. K.E. Smith, L. Kahanpaa, P. Kekalainen, W. Traves: An Invitation to Algebraic Geometry, Springer, 2010. (B)

  68. A.D. Thomas: Zeta-functions: An Introduction to Algebraic Geometry, Pitman Publishing, 1977. (B)

  69. K. Ueno: Algebraic Geometry 1: from Algebraic Varieties to Schemes, American Mathematical Society, 1999. (B)

  70. A. Weil: Foundations of Algebraic Geometry, American Mathematical Society, 1946. (B)

  71. U. Zannier: Some Problems of Unlikely Intersections in Arithmetic and Geometry, Princeton University Press, 2012. (D)


Eliptičke krivulje

  1. A. Ash, R. Gross, Elliptic Tales: Curves, Counting and Number Theory, Princeton University Press, 2012. (D)

  2. A.K. Bhandari, D.D. Nagraj, R. Ramakrishnan, T.N. Venkataramana (Eds.): Elliptic Curves, Modular Forms and Cryptography, Hindustan Book Agency, 2003. (B)

  3. I. Blake, G. Seroussi, N. Smart: Elliptic Curves in Cryptography, Cambridge University Press, 1999. (D)

  4. I. Blake, G. Seroussi, N. Smart (Eds): Advances in Elliptic Curve Cryptography, Cambridge University Press, 2005. (D)

  5. M.L. Brown: Heegner Modules and Elliptic Curves, Springer, 2004. (B)

  6. J.W.S. Cassels: Lectures on Elliptic Curves, Cambridge University Press, 1995. (D)

  7. J.S. Chahal: Topics in Number Theory, Plenum Press, 1988. (D)

  8. H. Cohen, G. Frey (Eds): Handbook of Elliptic and Hyperelliptic Curve Cryptography, Chapman & Hall/CRC, 2005. (B)

  9. J.B. Conrey, D.W. Farmer, F. Mezzadri, N.C. Snaith (Eds): Ranks of Elliptic Curves and Random Matrix Theory, Cambridge University Press, 2007. (D)

  10. G. Cornell, J.H. Silverman, G. Stevens: Modular Forms and Fermat's Last Theorem, Springer-Verlag, 1997. (B)

  11. J.E. Cremona: Algorithms for Modular Elliptic Curves, Cambridge University Press, 1997. (D)

  12. H. Darmon: Rational Points on Modular Elliptic Curves, American Mathematical Society, 2004. (B,D)

  13. F. Diamond, J. Shurman: A First Course in Modular Forms, Springer-Verlag, 2005. (B)

  14. P. Du Val: Elliptic Functions and Elliptic Curves, Cambridge University Press, 1973. (B)

  15. T. Ekedahl: One Semester of Elliptic Curves, European Mathematical Society, 2006. (B)

  16. B.H. Gross: Arithmetic on Elliptic Curves with Complex Multiplication, Springer-Verlag, 1980. (B)

  17. D. Hankerson, A. Menezes, S. Vanstone: Guide to Elliptic Curve Cryptography, Springer-Verlag, 2004. (B,D)

  18. H. Hida: Elliptic Curves and Arithmetic Invariants, Springer, 2013. (B)

  19. D. Husemoller: Elliptic Curves, Springer-Verlag, 2004. (B,D)

  20. H. Kisilevsky, M.R. Murty (Eds.): Elliptic Curves and Related Topics, American Mathematical Society, 1994. (D)

  21. A.W. Knapp: Elliptic Curves, Princeton University Press, 1992. (B,D)

  22. N. Koblitz: Introduction to Elliptic Curves and Modular Forms, Springer-Verlag, 1996. (B,D)

  23. S. Lang: Elliptic Curves: Diophantine Analysis, Springer-Verlag, 1978. (B,N)

  24. S. Ling, H. Wang, C. Xing: Algebraic Curves in Cryptography, CRC Press, 2013. (D)

  25. A. Lozano-Robledo: Elliptic Curves, Modular Forms, and Their L-functions, American Mathematical Society, 2011. (D)

  26. H. McKean, V. Moll: Elliptic Curves: Function Theory, Geometry, Arithmetic, Cambridge University Press, 1999. (B)

  27. J. S. Milne: Elliptic Curves, BookSurge Publishers, 2006. (B,D)

  28. A. Robert: Elliptic Curves, Springer-Verlag, 1986. (B)

  29. M. Rosing: Implementing Elliptic Curve Cryptography, Manning, 1999. (D)

  30. S. Schmitt, H.G. Zimmer: Elliptic Curves. A Computational Approach, de Gruyter, 2003. (D)

  31. J.-P. Serre: Abelian l-Adic Representations and Elliptic Curves, W.A. Benjamin, 1968. (B)

  32. J.-P. Serre: Lectures on the Mordell-Weil theorem, Vieweg, 1997. (B)

  33. T.R. Shemanske: Modern Cryptography and Elliptic Curves: A Beginner’s Guide, American Mathematical Society, 2017. (B)

  34. G. Shimura: Introduction to the Arithmetic Theory of Automophic Functions, Princeton University Press, 1971. (B)

  35. J.H. Silverman: The Arithmetic of Elliptic Curves, Springer-Verlag, 1996, 2009. (B,D)

  36. J.H. Silverman: Advanced Topics in the Arithmetic of Elliptic Curves, Springer-Verlag, 1994. (B,D)

  37. J.H. Silverman, J. Tate: Rational Points on Elliptic Curves, Springer-Verlag, 1992. (B,D)

  38. L.C. Washington: Elliptic Curves: Number Theory and Cryptography, CRC Press, 2003, 2008. (B,D)


Diofantske jednadžbe

  1. T. Andreescu, D. Andrica, I. Cucurezeanu: An Introduction to Diophantine Equations. A Problem-Based Approach, Birkhäuser, 2010. (B,D)

  2. E.J. Barbeau: Pell's Equation, Springer-Verlag, 2003. (B,D)

  3. K. Belabas, F. Beukers, P. Gaudry, W. McCallum, B. Poonen, S. Siksek, M. Stoll, M. Watkins, Explicit methods in number theory. Rational points & Diophantine equations, Société Mathématique de France, 2012. (B)

  4. Yu. Bilu, Y. Bugeaud, M. Mignotte: The Problem of Catalan, Springer, 2014. (B)

  5. N.R. Bruin: Chabauty methods and covering techniques applied to generalized Fermat equations, Centrum voor Wiskunde en Informatica, 2002. (D)

  6. Y. Bugeaud: Linear Forms in Logarithms and Applications, IRMA Lectures in Mathematics and Theoretical Physics Vol. 28, European Mathematical Society, 2018. (B,D)

  7. E.B. Burger: Exploring the Number Jungle: A Journey into Diophantine Analysis, American Mathematical Society, 2000. (D)

  8. R.D. Carmichael: The Theory of Numbers and Diophantine Analysis, Dover, 1959. (B,D)

  9. H. Cohen: Number Theory. Volume I: Tools and Diophantine Equations, Springer-Verlag, 2007. (D)

  10. H. Cohen: Number Theory. Volume II: Analytic and Modern Tools, Springer-Verlag, 2007. (B,D)

  11. H. Davenport: Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 2005. (D)

  12. A. Dujella: Number Theory, Skolska knjiga, Zagreb, 2021. (B)

  13. J.H. Evertse: Upper Bound for the Numbers of Solutions of Diophantine Equations, Centrum voor Wiskunde en Informatica, 1983. (k)

  14. J.H. Evertse, K. Györy: Unit Equations in Diophantine Number Theory, Cambridge University Press, 2015. (B)

  15. J.-H. Evertse, K. Györy, Discriminant Equations in Diophantine Number Theory, Cambridge University Press, 2017. (B,D)

  16. I. Gaal: Diophantine Equations and Power Integral Bases, Birkhäuser, 2002. (B)

  17. I. Gaal: Diophantine Equations and Power Integral Bases. Theory and Algorithms, Birkhäuser, 2019. (D)

  18. A.O. Gelfond: The Solution of Equations in Integers, P. Noordhoff, 1960. (B)

  19. M.J. Jacobson, H.C. Williams: Solving the Pell Equation, Springer, 2009. (D)

  20. E. Landau: Diophantische Gleichungen mit endlich vielen Loesungen, Veb Deutscher Verlag, 1959. (B)

  21. W.J. LeVeque: Studies in Number Theory, Mathematical Association of America, 1969.(B)

  22. R.C. Mason: Diophantine Equations over Function Fields, Cambridge University Press, 1984. (B,N)

  23. L.J. Mordell: Diophantine Equations, Academic Press, 1969. (B)

  24. A.J. van der Poorten, J.H. Loxton (Eds.): Diophantine Analysis, Cambridge University Press, 1986. (D)

  25. J.L. Ramirez Alfonsin: The Diophantine Frobenius Problem, Oxford University Press, 2005. (B)

  26. N. Saradha (Ed.): Diophantine Equations, 2005 Mumbai conference in honour of T.N. Shorey, Tata Institute of Fundamental Research, 2007. (D)

  27. W.M. Schmidt: Equations over Finite Fields: An Elementary Approach, Springer-Verlag, 1976. (B)

  28. W.M. Schmidt: Diophantine Approximations and Diophantine Equations, Springer-Verlag, 1996. (D)

  29. R. Schoof: Catalan's Conjecture, Springer, 2008. (D)

  30. T.H. Shorey, R. Tijdeman: Exponential Diophantine Equations, Cambridge University Press, 1986. (D)

  31. W. Sierpinski: Pythagorean Triangles, Yeshiva University, 1962. (B,D)

  32. T. Skolem: Diophantische Gleichungen, Chelsea, 1950. (B)

  33. N.P. Smart: The Algorithmic Resolution of Diophantine Equations, Cambridge University Press, 1998. (B,D)

  34. V.G. Sprindzuk: Classical Diophantine Equations, Springer-Verlag, 1993. (k)

  35. J. Steuding: Diophantine Analysis, Chapman & Hall/CRC, 2005. (D)

  36. J. Steuding (Ed.): Diophantine Analysis: Course Notes from a Summer School, Birkhäuser, 2016. (B)

  37. B.M.M. de Weger: Algorithms for Diophantine Equations, Centrum voor Wiskunde en Informatica, 1989. (k)

  38. U. Zannier: Some applications of Diophantine Approximation to Diophantine Equations, Forum Editrice, Udine, 2003. (D)

  39. U. Zannier: Lecture Notes on Diophantine Analysis, Edizioni della Normale, 2009. (D)


Diofantske aproksimacije

  1. A. Baker: Transcendental Number Theory, Cambridge University Press, 1990. (B,N)

  2. A. Baker, G. Wüstholz: Logarithmic Forms and Diophantine Geometry, Cambridge University Press, 2008. (D)

  3. J. Beck: Probabilistic Diophantine Approximation. Randomness in Lattice Point Counting, Springer, 2014. (B)

  4. N.M. Beskin: Fascinating Fractions, Mir Publishers, 1986. (B)

  5. J. Borwein, A. van der Poorten, J. Shallit, W. Zudilin: Neverending Fractions. An Introduction to Continued Fractions, Cambridge University Press, Cambridge, 2014. (D)

  6. Y. Bugeaud: Approximation by Algebraic Numbers, Cambridge University Press, 2004. (B,D)

  7. Y. Bugeaud: Distribution modulo one and Diophantine approximation, Cambridge University Press, 2012. (D)

  8. Y. Bugeaud: Linear Forms in Logarithms and Applications, IRMA Lectures in Mathematics and Theoretical Physics Vol. 28, European Mathematical Society, 2018. (B,D)

  9. E.B. Burger, R. Tubbs: Making Transcendence Transparent: An Intuitive Approach to Classical Transcendental Number Theory, Springer-Verlag, 2004. (B,D)

  10. J.W.S. Cassels: An Introduction to Diophantine Approximation, Cambridge University Press, 1965. (k)

  11. D. Hensley: Continued Fractions, World Scientific, 2006. (D)

  12. A.Ya. Khinchin: Continued Fractions, Dover, 1997. (B,D)

  13. J. F. Koksma: Diophantische Approximationen, Springer, 1936. (D)

  14. H. Minkowski: Diophantische Approximationen: Eine Einführung in die Zahlentheorie, Chelsea, 1957. (B)

  15. S. Lang: Introduction to Diophantine Approximations, Addison-Wesley, 1966. (B)

  16. L. Lovasz: An Algorithmic Theory of Numbers, Graphs and Convexity, SIAM, 1986. (D)

  17. P.Q. Nguyen, B. Vallee (Eds.): The LLL Algorithm. Survey and Applications, Springer, 2010. (D)

  18. I. Niven: Diophantine Approximations, John Wiley & Sons, 1963. (B,D)

  19. C.D. Olds: Continued Fractions, Random House, 1963. (B,D)

  20. O. Perron: Die Lehre von den Kettenbruchen, Teubner, 1954. (B)

  21. C. Reutenauer: From Christoffel Words to Markoff Numbers, Oxford University Press, 2019. (B)

  22. A. M. Rockett, P. Szusz: Continued Fractions, World Scientific, 1992. (D)

  23. W.M. Schmidt: Diophantine Approximation, Springer-Verlag, 1996. (B,D)

  24. W.M. Schmidt: Diophantine Approximations and Diophantine Equations, Springer-Verlag, 1996. (D)

  25. Th. Schneider: Einfuhrung in die transzendenten Zahlen, Springer-Verlag, 1957. (B)

  26. C.L. Siegel: On Some Applications of Diophantine Approximations (with a commentary by C. Fuchs and U. Zannier), Edizioni della Normale, 2014. (B)

  27. J. Steuding: Diophantine Analysis, Chapman & Hall/CRC, 2005. (D)

  28. J. Steuding (Ed.): Diophantine Analysis: Course Notes from a Summer School, Birkhäuser, 2016. (B)

  29. M. Waldschmidt: Diophantine Approximation on Linear Algebraic Groups, Springer-Verlag, 2000. (B)

  30. U. Zannier: Some applications of Diophantine Approximation to Diophantine Equations, Forum Editrice, 2003. (D)

  31. U. Zannier: Lecture Notes on Diophantine Analysis, Edizioni della Normale, 2009. (D)


Prosti brojevi, faktorizacija, primjene u kriptografiji

  1. E. Bach, J. Shallit: Algorithmic Number Theory, Volume I: Efficient Algorithms, MIT Press, 1996. (D)

  2. M.W. Baldoni, C. Ciliberto, G.M. Piacentini Cattaneo: Elementary Number Theory, Cryptography and Codes, Springer, 2009. (B)

  3. D.M. Bressoud: Factorization and Primality Testing, Springer-Verlag, 1989. (B,D)

  4. J.P. Buhler, P. Stevenhagen (Eds.): Algorithmic Number Theory. Lattices, Number Fields, Curves and Cryptography, Cambridge University Press, 2008. (D)

  5. H. Cohen: A Course in Computational Algebraic Number Theory, Springer-Verlag, 1993. (B,D)

  6. R. Crandall, C. Pomerance: Prime Numbers: A Computational Perspective, Springer-Verlag, 2001. (B,D)

  7. A. Das: Computational Number Theory, CRC Press, 2013. (D)

  8. B. Fine, G. Rosenberg: Number Theory. An Introduction via the Distribution of Primes, Birkhäuser, 2007. (B)

  9. P. Garrett, D. Lieman (Eds.): Public-Key Cryptography, American Mathematical Society, Providence, 2005. (B)

  10. P.J. Giblin, Primes and Programming, an Introduction to Number Theory with Computing, Cambridge University Press, 1993. (k)

  11. J. Hoffstein, J. Pipher, J. H. Silverman: An Introduction to Mathematical Cryptography, Springer, 2008. (D)

  12. M. Kac: Statistical Independence in Probability, Analysis and Number Theory, Mathematical Association of America, 1959. (B)

  13. N. Koblitz: A Course in Number Theory and Cryptography, Springer-Verlag, 1994. (B)

  14. N. Koblitz: Algebraic Aspects of Cryptography, Springer-Verlag, Berlin, 1999. (B,D)

  15. E. Kranakis: Primality and Cryptography, Teubner, John Wiley, 1987. (B)

  16. A.K. Lenstra, H.W. Lenstra, Jr. (Eds.): The Development of the Number Field Sieve, Springer-Verlag, 1993. (B)

  17. J. H. Loxton (Ed.): Number Theory and Cryptography, Cambridge University Press, 1990. (B)

  18. B. Mazur, W. Stein: Prime Numbers and the Riemann Hypothesis, Cambridge University Press, 2016. (B)

  19. A. Pethö: Algebraische Algorithmen, Vieweg, 1999. (B,D)

  20. C. Pomerance (Ed.): Cryptology and Computational Number Theory, Proceedings of Symposia in Applied Mathematics, Vol. 42, American Mathematical Society, Providence, 1990. (D)

  21. K. Prachar: Primzahlverteilung, Springer-Verlag, 1957. (B)

  22. P. Ribenboim: The Book of Prime Number Records, Springer-Verlag, 1989. (D)

  23. P. Ribenboim: The little book of big primes, Springer, 1991. (B)

  24. P. Ribenboim: The little book of bigger primes, Springer, 2004. (B)

  25. P. Ribenboim: The New Book of Prime Number Records, Springer, 1996. (B)

  26. H. Riesel: Prime Numbers and Computer Methods for Factorization, Birkhauser, 1994. (B)

  27. M.R. Schroeder: Number Theory in Science and Communication, Springer-Verlag, 1991, 2006. (B,N)

  28. V. Shoup: A Computational Introduction to Number Theory and Algebra, Cambridge University Press, 2005. (D)

  29. N. Smart: Cryptography. An Introduction, McGraw-Hill, 2002. (D)

  30. D. R. Stinson: Cryptography. Theory and Practice, CRC Press, 1996, 2002, 2005. (B,D)

  31. G. Tenenbaum, M. Mendes France: The Prime Numbers and Their Distribution, American Mathematical Society, 2000. (D)

  32. O.N. Vasilenko: Number-Theoretic Algorithms in Cryptography, American Mathematical Society, 2007. (B)

  33. S. S. Wagstaff, Jr.: Cryptanalysis of Number Theoretic Ciphers, Chapman and Hall/CRC Press, 2002. (B)

  34. S.Y. Yan: Number Theory for Computing, Springer-Verlag, 2002. (B,D)

  35. S.Y. Yan: Computational Number Theory and Modern Cryptography, Wiley, 2013. (D)


Neke specijalne teme

  1. N. M. Adrianov, F. Pakovich, A. K. Zvonkin: Davenport-Zannier Polynomials and Dessins d’Enfants, American Mathematical Society, 2020. (B)

  2. M. Aigner: Markov's Theorem and 100 Years of the Uniqueness Conjecture: A Mathematical Journey from Irrational Numbers to Perfect Matchings, Springer, 2013. (D)

  3. J.-P. Allouche, J. Shallit: Automatic Sequences: Theory, Applications, Generalizations, Cambridge University Press, 2003. (B)

  4. G.E. Andrews, B.C. Berndt: Ramanujan's Lost Notebook, Springer-Verlag, 2005. (B)

  5. T.M. Apostol: Modular Functions and Dirichlet Series in Number Theory, Springer-Verlag, 1990. (B)

  6. A. Ash, R. Gross: Summing It Up. From One Plus One to Modern Number Theory, Princeton University Press, 2016. (B)

  7. G. Bachman: Introduction to p-Adic Numbers and Valuation Theory, Academic Press, 1964. (B)

  8. V. Berthe, M. Rigo: Combinatorics, Automata and Number Theory, Cambridge University Press, 2010. (B,N)

  9. P. Borwein: Computational Excursions in Analysis and Number Theory, Springer-Verlag, 2002. (B)

  10. W. Bosma, J. Cannon (Eds.): Discovering Mathematics with Magma. Reducing the Abstract to the Concrete, Springer-Verlag, 2006. (B,D)

  11. J.H. Bruinier, G. van der Geer, G. Harder, D. Zagier: The 1-2-3 of Modular Forms, Springer-Verlag, 2008. (B)

  12. J.-P. Cahen, J.-L. Chabert: Integer-Valued Polynomials, American Mathematical Society, 1997. (B)

  13. J.W. Cassels: An Introduction to the Geometry of Numbers, Springer-Verlag, 1997. (B,N,D)

  14. J.W.S. Cassels, E.V. Flynn: Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, Cambridge University Press, 1996. (D)

  15. J.H. Conway: The sensual (quadratic) form, Mathematical Association of America, 1997. (B)

  16. K. Dajani, C. Kraaikamp: Ergodic Theory of Numbers, Cambridge University Press, 2002. (B)

  17. A. Deitmar: Automorphic Forms, Springer, 2013. (B)

  18. P.D.T.A. Elliott: Probabilistic Number Theory I. Mean-Value Theorems, Springer-Verlag, 1979. (B,N)

  19. C. Elsholtz, P. Grabner (Eds.): Number Theory - Diophantine Problems, Uniform Distribution and Applications. Festschrift in Honour of Robert F. Tichy’s 60th Birthday, Springer, 2017. (D)

  20. G. Everest, A. van der Poorten, I. Shparlinski, T. Ward: Recurrence sequences, AMS Surveys and Monographs, Vol. 104, 2003. (B)

  21. S. Finch: Mathematical Constants, Cambridge University Press, 2003. (D)

  22. I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky: Discriminants, Resultants and Multidimensional Determinants, Birkhäuser, 1994.

  23. F.Q. Gouvea, p-adic Numbers: An Introduction, Springer-Verlag, 2003. (B)

  24. E. Grosswald: Representations of Integers as Sums of Squares, Springer-Verlag, 1985. (B)

  25. R.K. Guy: Unsolved Problems in Number Theory, Springer-Verlag, 2004. (B,D)

  26. H. Halberstam, K.F. Roth: Sequences, Springer-Verlag, 1983. (B)

  27. Y. Hellegouarch: Invitation to the Mathematics of Fermat-Wiles, Academic Press, 2002. (D)

  28. H. Hida: Elementary Theory of L-functions and Eisenstein Series, Cambridge University Press, 1993. (B)

  29. T. Hiramatsu, G. Köhler: Coding theory and number theory, Kluwer, 2003. (B)

  30. P.-C. Hu, C.-C. Yang, Value Distribution Theory Related to Number Theory, Birkhäuser, 2006. (B)

  31. L.-K. Hua, W. Yuan: Applications of Number Theory to Numerical Analysis, Springer-Verlag, 1981. (B)

  32. H. Iwaniec: Topics in Classical Automorphic Forms, American Mathematical Society, 1997. (B)

  33. A.Y. Khinchin: Three Pearls of Number Theory, Dover, 1998. (D)

  34. Y. Kitaoka: Arithmetic of Quadratic Forms, Cambridge University Press, 1999.

  35. V. Klee, S Wagon: Alte und neue ungeloste Probleme in der Zahlentheorie und Geometrie der Ebene, Birkhäuser, 1997. (B)

  36. N. Koblitz: p-adic Analysis: a Short Course on Recent Work, Cambridge University Press, 1980. (B)

  37. N. Koblitz: p-adic Numbers, p-adic Analysis, and Zeta Functions, Springer-Verlag, 1996. (B)

  38. T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley, 2001. (D)

  39. E. Kratzel: Lattice Points, VEB Deutscher Verlag der Wissenschaften, 1988. (D)

  40. M. Krizek, F. Luca, L. Somer: 17 Lectures on Fermat Numbers, Springer-Verlag, 2001. (B,D)

  41. S. Lang: Introduction to Modular Forms, Springer-Verlag, 2001. (B)

  42. M.L. Lapidus, M. van Frankenhuysen: Fractal Geometry and Number Theory. Complex Dimensions of Fractal Strings and Zeros of Zeta Functions, Birkhäuser, 2000. (B)

  43. C.G. Lekkerkerker: Geometry of Numbers, North Holland, 1969. (B)

  44. R. Lidl, G.K. Mullen, G. Turnwald: Dickson polynomials, Longman, 1993. (k)

  45. G.W. Mackey: Unitary group representations in physics, probability, and number theory, Benjamin-Cummings, 1978. (B)

  46. K. Mahler: Introduction to p-adic Numbers and Their Functions, Cambridge University Press, 1973. (B)

  47. H.B. Mann: Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience Publ., 1965. (B)

  48. Yu.V. Matiyasevich: Hilbert's Tenth Problem, MIT Press, 1993. (D)

  49. T. Miyake: Modular Forms, Springer, 1989. (B)

  50. W. Narkiewicz: Classical Problems in Number Theory, PWN, 1986. (B)

  51. M.B. Nathanson: Additive Number Theory, Springer-Verlag, 1996. (D)

  52. M.B. Nathanson: Elementary Methods in Number Theory, Springer, 2000. (B)

  53. P.Q. Nguyen, B. Vallee (Eds.): The LLL algorithm. Survey and Applications, Springer, 2010. (D)

  54. K. Ono: The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-series, CBMS Monograph 102, AMS, 2004. (B)

  55. A.J. van der Poorten: Notes on Fermat's Last Theorem, Wiley, 1996. (D)

  56. V.V. Prasolov: Polynomials, Springer, 2004.

  57. M. Ram Murty, M. Dewar, H. Graves: Problems in the theory of modular forms, Hindustan Book Agency, 2015. (B)

  58. P. Ribenboim: 13 Lectures on Fermat's Last Theorem, Springer-Verlag, 1979. (B,D)

  59. P. Ribenboim: Fermat's Last Theorem for Amateurs, Springer, 2000. (B)

  60. P. Ribenboim: My Numbers, My Friends. Popular Lectures on Number Theory, Springer, 2000. (B)

  61. A.M. Robert: A Course in p-adic Analysis, Springer-Verlag, 2000. (B)

  62. F. Rodriguez Villegas: Experimental Number Theory, Oxford University Press, 2007. (N,D)

  63. M. Rosen: Number Theory in Function Fields, Springer-Verlag, 2002. (B,D)

  64. A. Schinzel: Selected Topics on Polynomials, University of Michigan Press, 1982. (D)

  65. A. Schinzel: Polynomials with Special Regard to Reducibility, Cambridge University Press, 2000. (B)

  66. J.-P. Serre: Topics in Galois Theory, A K Peters, 2008. (B)

  67. A. Shlapentokh: Hilbert’s Tenth Problem. Diophantine Classes and Extensions to Global Fields, Cambridge University Press, 2006. (B)

  68. I.E. Shparlinski: Finite Fields: Theory and Computation. The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography, Kluwer, 1999. (B)

  69. J.H. Silverman: Moduli Spaces and Arithmetic Dynamics, American Mathematical Society, 2012. (B)

  70. J.H. Silverman: The Arithmetic of Dynamical Systems, Springer-Verlag, 2007. (D)

  71. W.A. Stein: Modular Forms: A Computational Approach, American Mathematical Society, 2007. (B,D)

  72. T. Tao: Higher order Fourier analysis, American Mathematical Society, 2012. (B)

  73. S. Vajda: Fibonacci & Lucas Numbers, and the Golden Section, theory and applications, Ellis Horwood, 1989. (D)

  74. N.N. Vorobiev: Fibonacci Numbers, Birkhauser, 2002. (B)

  75. M. Waldschnidt, P. Moussa, J.-M. Luck, C. Itzykson (Eds.): From Number Theory to Physics, Springer-Verlag, 1995. (B)

  76. G. Wüstholz (Ed.): A Panorama of Number Theory or The View from Baker's Garden, Cambridge University Press, 2002. (B)


Povijest teorije brojeva, sabrana djela

  1. G.E. Andrews, B.C. Berndt: Ramanujan's lost notebook, Part I, Springer, 2005. (B)

  2. I.G. Bashmakova: Diophantus and Diophantine Equations, Mathematical Association of America, 1998. (D)

  3. B.C. Berndt: Ramanujan's Notebooks. Part II, Springer-Verlag, 1989.

  4. L.E. Dickson: History of the Theory of Numbers, Volume 1: Divisibility and Primality, Chelsea, 1966. (B,D)

  5. L.E. Dickson: History of the Theory of Numbers, Volume 2: Diophantine analysis, Chelsea, 1966. (B,D)

  6. L.E. Dickson: History of the Theory of Numbers, Volume 3: Quadratic and Higher Forms, Chelsea, 1966. (B,D)

  7. C.F. Gauss: Disquisitiones Arithmeticae, Yale University Press, 1965. (D)

  8. T.L. Heath: Diophantus of Alexandria: A study in the history of Greek Algebra. With a supplement containing an account of Fermat's theorems and problems connected with Diophantine analysis and some solutions of Diophantine problems by Euler, Powell's Bookstore; Martino Publishing, 2003. (D)

  9. Collected papers of Wilhelm Ljunggren, Volumes 1,2, (P. Ribenboim, Ed.), Queen's University, 2003. (B)

  10. Collected Papers of Trygve Nagell, Volumes 1,2,3,4, (P. Ribenboim, Ed.), Queen's University, 2002. (B)

  11. W. Narkiewicz, Rational Number Theory in the 20th Century. From PNT to FLT, Springer, 2012. (D)

  12. O. Ore: Number Theory and Its History, Dover, 1988. (B,D)

  13. W. Scharlau, H. Opolka: From Fermat to Minkowski. Lectures on the Theory of Numbers and Its Historical Development, Springer-Verlag, 1985. (B)

  14. Andrzej Schinzel, Selecta, Volume I: Diophantine Problems and Polynomials, (H. Iwaniec, W. Narkiewicz, J. Urbanowicz, Eds.), European Mathematical Society, 2007. (B)

  15. Andrzej Schinzel, Selecta, Volume II: Elementary, Analytic and Geometric Number Theory, (H. Iwaniec, W. Narkiewicz, J. Urbanowicz, Eds.), European Mathematical Society, 2007. (B)

  16. A. Weil: Number Theory: An Approach through History from Hammurapi to Legendre, Birkhäuser, 1987. (B,N,D)


Web stranice nekih kolegija iz teorije brojeva

  1. W. Chen: Elementary Number Theory, Imperial College, University of London

  2. M. Filaseta: Elementary Number Theory, University of South Carolina

  3. W. Stein: Elementary Number Theory, Harvard University

  4. D. Burde: Algebraic Number Theory, University of Vienna

  5. P. L. Clark: Number Theory, University of Georgia

  6. F. Lemmermeyer: Algebraic Number Theory, Bilkent University

  7. J. Milne: Algebraic Number Theory, University of Michigan

  8. W. Stein: Introduction to Algebraic Number Theory, Harvard University

  9. W. Chen: Distribution of Prime Numbers, Imperial College, University of London

  10. N. Elkies: Introduction to Analytic Number Theory, Harvard University

  11. K. Kedlaya: Analytic Number Theory, MIT

  12. J. Milne: Algebraic Geometry, University of Michigan

  13. D. Rogalski: Rational Points on Elliptic Curves, MIT

  14. J. Top: Number Theory of Cubic Curves, University of Groningen

    Online number theory lecture notes and teaching materials (održava Keith Matthews)


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