Exercises in (mathematical) style : stories of binomial coefficients / John McCleary.

Format:

Book

Author/Creator:

McCleary, John, author.

Series:

Anneli Lax New Mathematical Library, 2643-5586 ; v. 50

Language:

English

Physical Description:

1 online resource

Edition:

1st edition.

Place of Publication:

Washington, DC : Mathematical Association of America, 2017.

System Details:

Mode of access : World Wide Web

Contents:

Notations Combinatorial thinking An algebraic relation Combinatorial consequences Downtown Carré Proof without words A geometric representation $\binom {6}{3}$ tetrads A footnote Fancy evaluations Careful choices An explicit formula Explicit counting History The diagonal club The Chu-Vandermonde identity Up and down Mind the gaps Recurrence Rabbits Repetition Left out Sets The Ramsey game The Principle of Inclusion and Exclusion Inversion Derangements Seating the visiting dignitaries Multinomials, passively Don't choose, distribute Tanka$^{\ast \ast }$ Ode to a little theorem$^{\ast \ast }$ Divisibility by a prime$^{\ast \ast }$ A far finer gambit$^{\ast \ast }$ Congruence modulo a prime$^{\ast \ast }$ Alchemy$^{\ast \ast }$ Close reading$^{\ast \ast }$ An algorithm to recognize primes$^{\ast \ast }$ Shifting entries$^{\ast \ast }$ DIY primes$^{\ast \ast }$ Polynomial relations The generalized binomial theorem Four false starts Protasis-apodosis$^{\ast \ast }$ Matrices$^{\ast \ast }$ Bourbaki Generating repetitions Dialogue concerning generating functions Counting trees $q$-analogues

Notes:

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2018

Description based on print version record.

Other Format:

Print version: McCleary, John. Exercises in (mathematical) style :

ISBN:

9781470448325 (online)

Access Restriction:

Restricted for use by site license.