Basic theorems and formulae of number theory and mathematics
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
2007
|
| Schriftenreihe: | Berichte aus der Mathematik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
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MARC
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| 020 | |a 3832262385 |c kart. : EUR 23.80 (DE), EUR 23.80 (AT), sfr 47.60 |9 3-8322-6238-5 | ||
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| 100 | 1 | |a Kraeft, Uwe |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Basic theorems and formulae of number theory and mathematics |c Uwe Kraeft |
| 264 | 1 | |a Aachen |b Shaker |c 2007 | |
| 300 | |a XXI, 207 S. |b graph. Darst. | ||
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| 490 | 0 | |a Berichte aus der Mathematik | |
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Datensatz im Suchindex
| _version_ | 1819583124550451200 |
|---|---|
| adam_text | XIX
Content
1.
Arithmetic number theory
------
Congruences
--------
Euler
s
function
φ(η)
___-_-
Quadratic residues
-------
Various theorems
-------
Residues
---------
Other congruences
-------
2.
Sequences and series
-------
2.1
Euclidean Sequences
.....
Representations
-------
Irrational sequences-
------
2.2
Fractions, continued fractions, and p-adic numbers
-
Continued fractions
- ------
p-adic numbers
-------
3.
Diophantine Equations
-------
Point lattices
........
Complex and hypercomplex numbers
...
Polynomials as Diophantine Equations
- - -
Other famous Diophantine Equations
...
4.
Algebraic number theory
------
4.1
Basic algebraic number theory
-----
Extensions of algebraic structures
-
Galois number theory
------
Quadratic forms
-------
Elliptic Curves-
-------
4.2
From algebraic to transcendental numbers
Algebraic field extensions and quadratic number fields
Algebraic numbers
-------
Transcendental numbers
------
Transcendental field extensions
-
Formulae for the transcendental numbers
e
and
π
5.
Topologica!
number theory
-.....
Symmetry
_ - _.....
XX
6.
Analytic number theory
.....
6.1
Archimedean Approximations
- - - - -
Infinite series or products for the calculation of numbers
Differential calculus-
------
Integral calculus
-------
6.2
Complex and other structural numbers
-
Formulae
f
or complex numbers
-
Linear transformations
------
Complex numbers in algebraic number theory
-
Infinitesimal calculus of complex numbers
Infinite series and products of analytic functions
The gamma-function
______
The zeta-function
-------
6.3
Geometrical number theory
-----
Vectors
---------
Trigonometry
--------
Formulae of trigonometry
-----
Spherical trigonometry
------
Euclidean vector space
------
Infinitesimal calculus of trigonometric functions
7.
Statistical number theory
------
Probability distributions
------
Distribution of primes
------
Elements of stochastics and statistics
-
8.
Special numbers
--------
8.1
Pythagorean Triples and Fermat s Last Theorem
Fermat s Last Theorem
------
8.2
Congruent numbers-
____--
Congruent numbers and elliptic curves
-
8.3
Primes in number theory
------
Special numbers and primes
-----
Prime tests and factorisation
-----
Basic theorems
-------
Algebra of primes
-------
8.4
Bernoulli,
Euler,
Stirling,
figurate
numbers and factorials
Infinite series with Bernoulli or
Euler
Numbers
-
Bernoulli and
Euler
Numbers in number theory-
XXI
Comparison of Bernoulli and
Euler
Numbers and Polyn.
-170
Stirling Numbers
........172
Comparison of Stirling Numb, of the first and second kind
-177
Polygonal, pyramidal,
figurate
numbers, and factorials
-178
9.
Fundamental theorems of number theory and mathematics
-181
10.
Number theoretic functions
------ -185
Choice of literature
.........189
Supplements to former books of this series
- - - - -207
|
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| author | Kraeft, Uwe |
| author_facet | Kraeft, Uwe |
| author_role | aut |
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| bvnumber | BV022932044 |
| callnumber-first | Q - Science |
| callnumber-label | QA241 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)244056636 (DE-599)DNB984531149 |
| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre_facet | Formelsammlung Verzeichnis |
| id | DE-604.BV022932044 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T20:42:04Z |
| institution | BVB |
| isbn | 9783832262389 3832262385 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016136853 |
| oclc_num | 244056636 |
| open_access_boolean | |
| owner | DE-739 DE-634 DE-11 |
| owner_facet | DE-739 DE-634 DE-11 |
| physical | XXI, 207 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Mathematik |
| spellingShingle | Kraeft, Uwe Basic theorems and formulae of number theory and mathematics Number theory Zahlentheorie (DE-588)4067277-3 gnd Theorem (DE-588)4185093-2 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4185093-2 (DE-588)4155008-0 (DE-588)4188171-0 |
| title | Basic theorems and formulae of number theory and mathematics |
| title_auth | Basic theorems and formulae of number theory and mathematics |
| title_exact_search | Basic theorems and formulae of number theory and mathematics |
| title_full | Basic theorems and formulae of number theory and mathematics Uwe Kraeft |
| title_fullStr | Basic theorems and formulae of number theory and mathematics Uwe Kraeft |
| title_full_unstemmed | Basic theorems and formulae of number theory and mathematics Uwe Kraeft |
| title_short | Basic theorems and formulae of number theory and mathematics |
| title_sort | basic theorems and formulae of number theory and mathematics |
| topic | Number theory Zahlentheorie (DE-588)4067277-3 gnd Theorem (DE-588)4185093-2 gnd |
| topic_facet | Number theory Zahlentheorie Theorem Formelsammlung Verzeichnis |
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