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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

Arithmetic Number Theory      light blue cover

Sequences and Series            dark green cover

Diophantine Equations            orange cover

Algebraic Number Theory       dark red cover

Topological Number Theory    purple cover

Analytic Number Theory         dark blue cover

Statistical Number Theory      light green cover

Special Numbers                    dark yellow cover

Textbooks                               light yellow cover

 

Index see [KrXIIa p. 93]

Corrections see [KrXIIa p. 87] and [KrVIIIa p. 227] or

http://www.kannitverstan.net/korrekturen-corrections-index/

 

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.

 

   

[Kr] 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