Reprinted by the American Mathematical Society, 2018. Originally published by the Mathematical Association of America, 2017. Includes bibliographical references and index.
Contents:
Preface -- 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 -- Dont 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
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