The Art of Proving Binomial Identities

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

55,15 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

The Art of Proving Binomial Identities accomplishes two goals: (1) It provides a unified treatment of the binomial coefficients, and (2) Brings together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton's binomial series), differentiation (Leibniz's generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics.

The book is very suitable for advanced undergraduates or beginning graduate students and includes various exercises asking them to prove identities. Students will find that the text and notes at the end of the chapters encourages them to look at binomial coefficients from different angles. With this learning experience, students will be able to understand binomial coefficients in a new way.

Features:

Provides a unified treatment of many of the techniques for proving binomial coefficient identities.

Ties together several of the courses in the undergraduate mathematics curriculum via a single theme.

A textbook for a capstone or senior seminar course in mathematics.

Contains several results by the author on proof techniques for binomial coefficients that are not well-known.

Ideal for self-study, it contains a large number of exercises at the end of each chapter, with hints or solutions for every exercise at the end of the book.

Inhaltsverzeichnis

Introducing the Binomial Coefficients. Basic Techniques. Combinatorics. Calculus. Probability. Generating Functions. Recurrence Relations and Finite Differences. Special Numbers. Miscellaneous Techniques. Hints and Solutions to Exercises.

Medium:	Taschenbuch
ISBN-13:	9781032475585
ISBN-10:	1032475587
Sprache:	Englisch
Autor:	Spivey, Michael Z.
Hersteller:	Taylor & Francis Chapman and Hall/CRC
Verantwortliche Person für die EU:	preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Abbildungen:	29 SW-Abb.
Maße:	20 x 156 x 234 mm
Von/Mit:	Michael Z. Spivey
Erscheinungsdatum:	21.01.2023
Gewicht:	0,58 kg

Ähnliche Produkte