Exercises in (mathematical) style stories of binomial coefficients /

"What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of well-known numbers, the binomial coefficients. The author follows the example of Raymond Queneau's Exercise in Style, offer...

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Main Author: McCleary, John, 1952-
Other Authors: American Mathematical Society.
Format: Book
Language: English
Published: Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, 2017.
Physical Description: xiv, 275 pages : illustrations ; 23 cm.
Series: Anneli Lax new mathematical library ; v. 48.
Subjects:
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100 1 |a McCleary, John,  |d 1952-  |e author. 
245 1 0 |a Exercises in (mathematical) style :  |b stories of binomial coefficients /  |c John McCleary. 
246 3 0 |a Exercises in style. 
264 1 |a Providence, Rhode Island :  |b MAA Press, an imprint of the American Mathematical Society,  |c 2017. 
264 4 |c ©2017. 
300 |a xiv, 275 pages :  |b illustrations ;  |c 23 cm. 
336 |a text  |b txt  |2 rdacontent. 
337 |a unmediated  |b n  |2 rdamedia. 
338 |a volume  |b nc  |2 rdacarrier. 
490 1 |a Anneli Lax new mathematical library ;  |v 48. 
504 |a Includes bibliographical references and index. 
505 0 |a Notations -- Combinatorial Thinking -- An Algebraic Relation -- Combinatorial Consequences -- Downtown Carré -- Proof Without Words -- A Geometric Representation -- (63) 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 -- Ode to a Little Theorem -- Divisibility by a Prime -- A Far Finer Gambit -- Congruence Modulo a Prime -- Alchemy -- Close Reading -- An Algorithm to Recognize Primes -- Shifting Entries -- DIY Primes -- Polynomial Relations -- The Generalized Binomial Theorem -- Four False Starts -- Protasis-Apodosis -- Matrices -- Bourbaki -- Generating Repetitions -- Dialogue Concerning Generating Functions -- Counting Trees -- Q- Analogues -- A Breakthrough -- Partitions of Numbers -- Take It to the Limit -- Q-Binomial Theorem -- The Quantum Plane -- Scrapsheet -- Mathematical Idol -- Symmetries -- Sums of Powers -- Parts of Proof -- Rings and Ideals -- Mathmärchen -- The Binomial Distribution -- Wormhole Points -- You Can't Always Get What You Want -- Matt Hu, Graduate Student -- Seeking Successes -- TEXNO[PI]AI[GAMMA]NIA -- An Area Computation -- Experimental Mathematics -- Telescopes -- The Rechner -- Lipogram -- 18th Century Machinations -- Recipe -- Math Talk -- Averages and Estimates -- Equality -- Pi, By Parts -- A Macaronic Sonnet -- A Hidden Integral -- Letter to a Princess -- Explicit Eulerian Numbers -- Mutperation Satticsits -- Review -- Plus C -- At the Carnival -- Indicators -- Tweets -- Beautiful Numbers -- Reminiscences --Winter Journal -- Cellular Automata -- Tiling -- Lattice Points -- Afterlife -- Matt Hu and the Euler Caper -- Hypergeometric Musings -- On the Bus -- Style Notes. 
520 |a "What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of well-known numbers, the binomial coefficients. The author follows the example of Raymond Queneau's Exercise in Style, offering the reader 99 stories in various styles. The book celebrates the joy of mathematics and the joy of writing mathematics by exploring the rich properties of this familiar collection of numbers. For anyone interested in mathematics, from high school students on up." --  |c Provided by publisher. 
600 0 7 |a Mathematik.  |2 gnd. 
650 0 |a Mathematics  |x Authorship. 
650 0 |a Binomial coefficients. 
650 0 |a Mathematics  |x Language. 
650 0 |a Mathematics  |v Terminology. 
650 0 |a Technical writing. 
650 7 |a Mathematics  |x Authorship.  |2 fast. 
650 7 |a Binomial coefficients.  |2 fast. 
650 7 |a Mathematics.  |2 fast. 
650 7 |a Mathematics  |x Language.  |2 fast. 
650 7 |a Technical writing.  |2 fast. 
650 7 |a Binomialkoeffizient.  |2 gnd. 
650 7 |a Darstellung.  |2 gnd. 
650 7 |a Fachsprache.  |2 gnd. 
650 7 |a Terminologie.  |2 gnd. 
655 7 |a Dictionaries.  |2 fast. 
655 7 |a Dictionaries.  |2 lcgft. 
655 7 |a Terminology.  |2 fast. 
710 2 |a American Mathematical Society. 
830 0 |a Anneli Lax new mathematical library ;  |v v. 48. 
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