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Presents the historical background of various topics in number theory;
Provides a self-contained introduction to classical number theory;
Includes step-by-step proofs of theorems and solutions to exercises;
Designed for undergraduate students, particularly those who would like to prepare for mathematical competitions.
Includes supplementary material: [...]
- Introduction.- The Fundamental Theorem of Arithmetic.- Arithmetic functions.- Perfect numbers, Fermat numbers.- Basic theory of congruences.- Quadratic residues and the Law of Quadratic Reciprocity.- The functions p(x) and li(x).- The Riemann zeta function.- Dirichlet series.- Partitions of integers.- Generating functions.- Solved exercises and problems.- The harmonic series of prime numbers.- Lagrange four-square theorem.- Bertrand postulate.- An inequality for the function p(n).- An elementary proof of the Prime Number Theorem.- Historical remarks on Fermat's Last Theorem.- Author index.- Subject index.- Bibliography and Cited References.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xiv
324 S. |
| ISBN-13: | 9781489981943 |
| ISBN-10: | 1489981942 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Rassias, Michael Th. |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 19 mm |
| Von/Mit: | Michael Th. Rassias |
| Erscheinungsdatum: | 02.09.2014 |
| Gewicht: | 0,517 kg |
Presents the historical background of various topics in number theory;
Provides a self-contained introduction to classical number theory;
Includes step-by-step proofs of theorems and solutions to exercises;
Designed for undergraduate students, particularly those who would like to prepare for mathematical competitions.
Includes supplementary material: [...]
- Introduction.- The Fundamental Theorem of Arithmetic.- Arithmetic functions.- Perfect numbers, Fermat numbers.- Basic theory of congruences.- Quadratic residues and the Law of Quadratic Reciprocity.- The functions p(x) and li(x).- The Riemann zeta function.- Dirichlet series.- Partitions of integers.- Generating functions.- Solved exercises and problems.- The harmonic series of prime numbers.- Lagrange four-square theorem.- Bertrand postulate.- An inequality for the function p(n).- An elementary proof of the Prime Number Theorem.- Historical remarks on Fermat's Last Theorem.- Author index.- Subject index.- Bibliography and Cited References.
| Erscheinungsjahr: | 2014 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xiv
324 S. |
| ISBN-13: | 9781489981943 |
| ISBN-10: | 1489981942 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Rassias, Michael Th. |
| Hersteller: |
Springer US
Springer New York |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 19 mm |
| Von/Mit: | Michael Th. Rassias |
| Erscheinungsdatum: | 02.09.2014 |
| Gewicht: | 0,517 kg |
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