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The Logical Approach to Automatic Sequences: Exploring Combinatorics on Words with Walnut

By (author) Jeffrey Shallit

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Automatic sequences are sequences over a finite alphabet generated by a finite-state machine. This book presents a novel viewpoint on automatic sequences, and more generally on combinatorics on words, by introducing a decision method through which many new results in combinatorics and number theory can be automatically proved or disproved with little or no human intervention. This approach to proving theorems is extremely powerful, allowing long and error-prone case-based arguments to be replaced by simple computations. Readers will learn how to phrase their desired results in first-order logic, using free software to automate the computation process. Results that normally require multipage proofs can emerge in milliseconds, allowing users to engage with mathematical questions that would otherwise be difficult to solve. With more than 150 exercises included, this text is an ideal resource for researchers, graduate students, and advanced undergraduates studying combinatorics, sequences, and number theory.

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Bonsai Success in Southern Africa

Carl Morrow
Paperback / softback
160 pages
was: R 320.95
now: R 288.95
Stock is usually dispatched in 6-12 days from date of order

In this uniquely Southern African book, Carl Morrow and Keith Kirsten guide readers step by step into the magical realms of bonsai as a hobby, horticultural practice and art form.

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The Ballerina and the Bull: Anarchist Utopias in the Age of Finance

Johanna Isaacson
Paperback / softback
288 pages
was: R 306.95
now: R 275.95
This title will take longer to obtain, and should be delivered in 6-8 weeks

Our moment has seen the resurgence of an anarchist sensibility, from the uprisings in Seattle in 1999 to the Occupy movement of 2011.

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Fifteen Dogs

AndrÃ© Alexis
Paperback / softback
176 pages
was: R 280.95
now: R 252.95
Available from overseas. Dispatched in aprox 4-8 weeks as local supplier is out of stock

A pack of dogs are granted the power of human thought - but what will it do to them? A surprising and insightful look at the beauty and perils of consciousness.

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