The following sequence of texts is a collection of the author’s notes, notices, and own ideas, which have been got in studying the results of number theory.
Studies in Number Theory
[Kr0] Uwe Kraeft, Applied number theory, (2001), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8265-9195-2
[Kr1] Uwe Kraeft, Pythagorean Triples, (2000), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8265-6891-6
[Kr2] Uwe Kraeft, Euclidean Sequences, (2000), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8265-7557-0
[Kr3] Uwe Kraeft, Diophantine Equations, (2000), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8265-8069-7
[Kr4] Uwe Kraeft, Archimedean Approximations, (2001), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8265-8451-0
[Kr5] Uwe Kraeft, Number theory of adjunctions, (2002), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8265-9967-5
[Kr6] Uwe Kraeft, Statistical number theory, (2002), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-0489-1
[Kr7] Uwe Kraeft, Arithmetic number theory, (2003), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-1147-9
[Kr8] Uwe Kraeft, Topological number theory, (2003), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-1707-5
[Kr9] Uwe Kraeft, Congruent numbers, (2004), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-2684-8
[Kr10] Uwe Kraeft, Galois number theory, (2004), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-3292-4
[Kr11] Uwe Kraeft, Primes in number theory, (2005), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-3886-5
[Kr12] Uwe Kraeft, A short history of number theory, (2005), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-4496-5
[Kr13] Uwe Kraeft, Basic algebraic number theory, (2006), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-4951-9
[Kr14] Uwe Kraeft, Bernoulli, Euler, Stirling, figurate numbers and factorials, (2006), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-5126-0
[Kr15] Uwe Kraeft, Complex and other structural numbers in number theory and sciences, (2006), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-5429-2
[Kr16] Uwe Kraeft, Trigonometry in number theory, (2007), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-5705-7
[Kr17] Uwe Kraeft, From algebraic to transcendental numbers, (2007), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-5940-2
[Kr18] Uwe Kraeft, Fractions, continued fractions, and p-adic numbers, (2007), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-6119-1
[Kr19] Uwe Kraeft, Basic theorems and formulae of number theory and mathematics, (2007), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-6238-9
[Kr20] Uwe Kraeft, Characters in number theory, (2007), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-6754-4
[Kr21] Uwe Kraeft, Additive representations of integers in number theory, (2010), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-8793-1
[Kr22] Uwe Kraeft, Goldbach's Conjecture and structures of primes in number theory, (2010), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-9166-2
[Kr23] Uwe Kraeft, Challenges in number theory, (2010), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8322-9439-7
[Kr24] Uwe Kraeft, Rings and ideals in number theory, (2011), Shaker Verlag, Aachen.
http://www.shaker.de/shop/978-3-8440-0241-6
Arithmetic Number Theory
[Kr7] Uwe Kraeft, Arithmetic number theory, (2003), Shaker Verlag, Aachen.
Sequences and Series
[Kr2] Uwe Kraeft, Euclidean Sequences, (2000), Shaker Verlag, Aachen.
[Kr18] Uwe Kraeft, Fractions, continued fractions, and p-adic numbers, (2007), Shaker Verlag, Aachen.
Diophantine Equations
[Kr3] Uwe Kraeft, Diophantine Equations, (2000), Shaker Verlag, Aachen.
[Kr21] Uwe Kraeft, Additive representations of integers in number theory, (2010), Shaker Verlag, Aachen.
[Kr22] Uwe Kraeft, Goldbach’s Conjecture and structures of primes in number theory, (2010), Shaker Verlag, Aachen.
Algebraic Number Theory
[Kr5] Uwe Kraeft, Number theory of adjunctions, (2002), Shaker Verlag, Aachen.
[Kr10] Uwe Kraeft, Galois number theory, (2004), Shaker Verlag, Aachen.
[Kr13] Uwe Kraeft, Basic algebraic number theory, (2006), Shaker Verlag, Aachen.
[Kr17] Uwe Kraeft, From algebraic to transcendental numbers, (2007), Shaker Verlag, Aachen.
[Kr24] Uwe Kraeft, Rings and ideals in number theory, (2011), Shaker Verlag, Aachen.
Topological Number Theory
[Kr8] Uwe Kraeft, Topological number theory, (2003), Shaker Verlag, Aachen.
Analytic Number Theory
[Kr4] Uwe Kraeft, Archimedean Approximations, (2001), Shaker Verlag, Aachen.
[Kr15]Uwe Kraeft, Complex and other structural numbers in number theory and sciences, (2006), Shaker Verlag, Aachen.
[Kr16]Uwe Kraeft, Trigonometry in number theory, (2007), Shaker Verlag, Aachen.
[Kr20]Uwe Kraeft, Characters in number theory, (2007), Shaker Verlag, Aachen.
Statistical Number Theory
[Kr6] Uwe Kraeft, Statistical number theory, (2002), Shaker Verlag, Aachen.
Special Numbers
[Kr1] Uwe Kraeft, Pythagorean Triples, (2000), Shaker Verlag, Aachen.
[Kr9] Uwe Kraeft, Congruent numbers, (2004), Shaker Verlag, Aachen.
[Kr11] Uwe Kraeft, Primes in number theory, (2005), Shaker Verlag, Aachen.
[Kr14] Uwe Kraeft, Bernoulli, Euler, Stirling, figurate numbers and factorials, (2006), Shaker Verlag, Aachen.
Textbooks on Number Theory
[Kr] Uwe Kraeft, Applied number theory, (2001), Shaker Verlag, Aachen.
[Kr12] Uwe Kraeft, A short history of number theory, (2005), Shaker Verlag, Aachen.
[Kr19] Uwe Kraeft, Basic theorems and formulae of number theory and mathematics, (2007), Shaker Verlag, Aachen.
[Kr23] Uwe Kraeft, Challenges in number theory, (2010), Shaker Verlag, Aachen.