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The Concrete Tetrahedron
Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates
Taschenbuch von Peter Paule (u. a.)
Sprache: Englisch

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Beschreibung
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.
Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.
Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
Zusammenfassung

Concrete mathematics from a computer algebra perspective

Informal style: as simple as possible, as complicated as necessary

Includes notivating applications from combinatorics, computer science, number theory, special functions

Includes supplementary material: [...]

Inhaltsverzeichnis

1 Introduction.- 2 Formal Power Series.- 3 Polynomials.- 4 C-Finite Sequences.- 5 Hypergeometric Series.- 6 Algebraic Functions.- 7 Holonomic Sequences and Power Series.- Appendix.- References.- Index.

Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
203 S.
ISBN-13: 9783709104446
ISBN-10: 3709104440
Sprache: Englisch
Herstellernummer: 80023935
Einband: Kartoniert / Broschiert
Autor: Paule, Peter
Kauers, Manuel
Hersteller: Springer Wien
Springer Vienna
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 12 mm
Von/Mit: Peter Paule (u. a.)
Erscheinungsdatum: 01.12.2010
Gewicht: 0,335 kg
Artikel-ID: 107236483
Zusammenfassung

Concrete mathematics from a computer algebra perspective

Informal style: as simple as possible, as complicated as necessary

Includes notivating applications from combinatorics, computer science, number theory, special functions

Includes supplementary material: [...]

Inhaltsverzeichnis

1 Introduction.- 2 Formal Power Series.- 3 Polynomials.- 4 C-Finite Sequences.- 5 Hypergeometric Series.- 6 Algebraic Functions.- 7 Holonomic Sequences and Power Series.- Appendix.- References.- Index.

Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
203 S.
ISBN-13: 9783709104446
ISBN-10: 3709104440
Sprache: Englisch
Herstellernummer: 80023935
Einband: Kartoniert / Broschiert
Autor: Paule, Peter
Kauers, Manuel
Hersteller: Springer Wien
Springer Vienna
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 12 mm
Von/Mit: Peter Paule (u. a.)
Erscheinungsdatum: 01.12.2010
Gewicht: 0,335 kg
Artikel-ID: 107236483
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