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Cover: 9780387953410 | Quantum Calculus | Victor Kac (u. a.) | Taschenbuch | Universitext
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Quantum Calculus
Taschenbuch von Victor Kac (u. a.)
Sprache: Englisch

74,89 €

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Beschreibung
In one sentence, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. It studies quantum calculus along the traditional lines of ordinary calculus and discovers many important notions and results in combinatorics, number theory, and other fields of mathematics.
The book assumes only some knowledge of first year calculus and linear algebra and is addressed mainly to undergraduate students.
In one sentence, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. It studies quantum calculus along the traditional lines of ordinary calculus and discovers many important notions and results in combinatorics, number theory, and other fields of mathematics.
The book assumes only some knowledge of first year calculus and linear algebra and is addressed mainly to undergraduate students.
Zusammenfassung
In one sentence, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. It studies quantum calculus along the traditional lines of ordinary calculus and discovers many important notions and results in combinatorics, number theory, and other fields of mathematics.
The book assumes only some knowledge of first year calculus and linear algebra and is addressed mainly to undergraduate students.
Inhaltsverzeichnis
1 q-Derivative and h-Derivative.- 2 Generalized Taylor's Formula for Polynomials.- 3 q-Analogue of (x &t- a)n, n an Integer, and q-Derivatives of Binomials.- 4 q-Taylor's Formula for Polynomials.- 5 Gauss's Binomial Formula and a Noncommutative Bino-mial Formula.- 6 Properties of q-Binomial Coefficients.- 7 q-Binomial Coefficients and Linear Algebra over Finite Fields.- 8 q-Taylor's Formula for Formal Power Series and Heine's Binomial Formula.- 9 Two Euler's Identities and Two q-Exponential Functions.- 10 q-Trigonometrie Functions.- 11 Jacobi's Triple Product Identity.- 12 Classical Partition Function and Euler's Product Formula.- 13 q-Hypergeometric Functions and Heine's Formula.- 14 More on Heine's Formula and the General Binomial.- 15 Ramanujan Product Formula.- 16 Explicit Formulas for Sums of Two and of Four Squares.- 17 Explicit Formulas for Sums of Two and of Four Triangul?r Numbers.- 18 q-Antiderivative.- 19 Jackson Integral.- 20 Fundamental Theorem of q-Calculus and Integration by Parts.- 21 q-Gamma and q-Beta Functions.- 22 h-Derivative and h-Integral.- 23 Bernoulli Polynomials and Bernoulli Numbers.- 24 Sums of Powers.- 25 Euler-Maclaurin Formula.- 26 Symmetrie Quantum Calculus.- Literature.
Details
Erscheinungsjahr: 2001
Fachbereich: Topologie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: ix
112 S.
2 s/w Illustr.
2 s/w Zeichng.
ISBN-13: 9780387953410
ISBN-10: 0387953418
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Kac, Victor
Cheung, Pokman
Hersteller: Humana
Springer
Springer US, New York, N.Y.
Universitext
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 8 mm
Von/Mit: Victor Kac (u. a.)
Erscheinungsdatum: 16.11.2001
Gewicht: 0,201 kg
Artikel-ID: 104422723
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