Author: Samuel Dittmer Publisher: CRC Press ISBN: 1040102050 Category : Mathematics Languages : en Pages : 132
Book Description
Puzzle and Proof: A Decade of Problems from the Utah Math Olympiad is a compilation of the problems and solutions for the first 10 years of the Utah Math Olympiad. The problems are challenging but should be understandable at a high school level. Besides putting all problems in one place (70 in total), which have not previously appeared in print, the book provides additional inspiration for many of the problems and will contain the first published solutions for 10 problems that were originally published on the contest flyer. The book will be a fantastic resource for anyone who enjoys mathematical and/or logic puzzles or is interested in studying for mathematics competitions. Features 70 carefully designed, high-quality high-school level math proof problems, with full solutions Detailed pictures and diagrams throughout to aid understanding Suitable for anyone with high school-level mathematics skills with an interest in furthering their understanding, or just enjoying the puzzles Solutions in the back of the book, sorting the problems by difficulty and topic.
Author: Raymond M. Smullyan Publisher: Courier Corporation ISBN: 0486315770 Category : Mathematics Languages : en Pages : 292
Book Description
These logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. No background in formal logic necessary.
Author: Rhea Myers Publisher: MIT Press ISBN: 1915103045 Category : Art Languages : en Pages : 322
Book Description
A beautifully produced anthology of crypto-artist, writer, and hacker Rhea Myers's pioneering blockchain art, along with a selection of her essays, reviews, and fictions. DAO? BTC? NFT? ETH? ART? WTF? HODL as OG crypto-artist, writer, and hacker Rhea Myers searches for faces in cryptographic hashes, follows a day in the life of a young shibe in the year 2032, and patiently explains why all art should be destructively uploaded to the blockchain. Now an acknowledged pioneer whose work has graced the auction room at Sotheby’s, Myers embarked on her first art projects focusing on blockchain tech in 2011, making her one of the first artists to engage in creative, speculative, and conceptual engagements with "the new internet." Proof of Work brings together annotated presentations of Myers’s blockchain artworks along with her essays, reviews, and fictions—a sustained critical encounter between the cultures and histories of the artworld and crypto-utopianism, technically accomplished but always generously demystifying and often mischievous. Her deep understanding of the technical history and debates around blockchain technology is complemented by a broader sense of the crypto movement and the artistic and political sensibilities that accompanied its ascendancy. Remodeling the tropes of conceptual art and net.art to explore what blockchain technology reveals about our concepts of value, culture, and currency, Myers’s work has become required viewing for anyone interested in the future of art, consensus, law, and collectivity.
Author: Douglas E. Ensley Publisher: John Wiley & Sons ISBN: 0471476021 Category : Mathematics Languages : en Pages : 704
Book Description
Did you know that games and puzzles have given birth to many of today's deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley's Introduction to Discrete Mathematics, you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, and real-world problems. You will discover how new mathematical topics can be applied to everyday situations, learn how to work with proofs, and develop your problem-solving skills along the way. Online applications help improve your mathematical reasoning. Highly intriguing, interactive Flash-based applications illustrate key mathematical concepts and help you develop your ability to reason mathematically, solve problems, and work with proofs. Explore More icons in the text direct you to online activities at www.wiley.com/college/ensley. Improve your grade with the Student Solutions Manual. A supplementary Student Solutions Manual contains more detailed solutions to selected exercises in the text.
Author: Anany Levitin Publisher: OUP USA ISBN: 0199740445 Category : Computers Languages : en Pages : 280
Book Description
Algorithmic puzzles are puzzles involving well-defined procedures for solving problems. This book will provide an enjoyable and accessible introduction to algorithmic puzzles that will develop the reader's algorithmic thinking. The first part of this book is a tutorial on algorithm design strategies and analysis techniques. Algorithm design strategies — exhaustive search, backtracking, divide-and-conquer and a few others — are general approaches to designing step-by-step instructions for solving problems. Analysis techniques are methods for investigating such procedures to answer questions about the ultimate result of the procedure or how many steps are executed before the procedure stops. The discussion is an elementary level, with puzzle examples, and requires neither programming nor mathematics beyond a secondary school level. Thus, the tutorial provides a gentle and entertaining introduction to main ideas in high-level algorithmic problem solving. The second and main part of the book contains 150 puzzles, from centuries-old classics to newcomers often asked during job interviews at computing, engineering, and financial companies. The puzzles are divided into three groups by their difficulty levels. The first fifty puzzles in the Easier Puzzles section require only middle school mathematics. The sixty puzzle of average difficulty and forty harder puzzles require just high school mathematics plus a few topics such as binary numbers and simple recurrences, which are reviewed in the tutorial. All the puzzles are provided with hints, detailed solutions, and brief comments. The comments deal with the puzzle origins and design or analysis techniques used in the solution. The book should be of interest to puzzle lovers, students and teachers of algorithm courses, and persons expecting to be given puzzles during job interviews.
Author: Raymond M. Smullyan Publisher: Courier Corporation ISBN: 0486497054 Category : Mathematics Languages : en Pages : 292
Book Description
These recreational logic puzzles provide entertaining variations on Gödel's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. Written by a distinguished mathematician and creator of numerous popular puzzle books, this volume requires no background in formal logic and will delight readers of all ages.
Author: Peter Winkler Publisher: CRC Press ISBN: 0429557973 Category : Mathematics Languages : en Pages : 392
Book Description
Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.
Author: Robert Leighton Publisher: Workman Publishing ISBN: 9780761143864 Category : Juvenile Nonfiction Languages : en Pages : 198
Book Description
Fully illustrated in color, this treasure trove features 250 puzzles on every imaginable theme and subject. The book is a bonanza of mazes, word games, visual and logic puzzles, and more.
Author: Alexander Bogomolny Publisher: Wolfram Media ISBN: 9781579550417 Category : Languages : en Pages : 310
Book Description
He who untied the Gordian knot would rule all of Asia So goes the legend of the tricky knot of Gordius, king of Phrygia.Many had tried; many had failed, but Alexander the Great simplycut the knot with his sword. He went on to conquer most of Asia, eventually reaching as far east as Northern India. Cut the Knot is a book of probability riddles curated to challenge the mind andexpand mathematical and logical thinking skills. First housed on cut-the-knot.org, these puzzles and their solutions represent the efforts of great minds around theworld. Follow along as Alexander Bogomolny presents these selected riddles bytopical progression. Try them for yourself before reading their solutions. Just like itwas for Alexander the Great, the non-trivial, unexpected solution might be exactlythe one you need.
Author: Samuel Dittmer
Author: Raymond M. Smullyan
Author: Rhea Myers
Author: Douglas E. Ensley
Author: Anany Levitin
Author: Raymond M. Smullyan
Author: Peter Winkler
Author: Robert Leighton
Author: European Coordinating Committee for Artificial Intelligence
Author: Alexander Bogomolny