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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.