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This book is about two things – Puzzles and Mathematics. It talks about how you can model a puzzle mathematically and solve it in an easy, structured and systematic way. So you would not only learn the different mathematical concepts, but also at the same time enjoy solving different well known puzzles. And if that’s not enough, there is a set of interesting puzzles at the end of each chapter, to keep your grey cells ticking. This book not only helps you understand the mathematical concepts in a fun way, but also helps you learn the techniques of solving puzzles in an easy way. So if you like mathematics or puzzles, then you would definitely like this book. This book is recommended for school and college students as it would help them appreciate the practical application of the mathematical concepts they learn as part of their academics. And if you are a serious puzzle solver, then this is the book you are waiting for. Not only does the book teach you the modelling techniques to solve a puzzle, but also challenges you with a set of interesting new puzzles. Written in a simple way, with self-explaining graphical illustrations, this book is a treat.
A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress
Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.
A collection of math and logic puzzles features number games, magic squares, tricks, problems with dominoes and dice, and cross sums, in addition to other intellectual teasers.
Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.
This book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book will be a handy resource for professors looking for problems to assign, for undergraduate math students, and for a more general audience of amateur scientists.
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.
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.
A NEW TWIST ON A POPULAR PUZZLE CUBE! Invented by Piet Hein, the Soma cube is one of the most famous mechanical puzzles in the world. The traditional challenge and outcome is to build a cube or other structures from all seven pieces.CHANGE THE RULES, CHANGE THE OUTCOME! The puzzles in this unique Soma-inspired collection are no longer predicated upon using all seven pieces at one time! By varying the number of pieces, there are many new and versatile puzzle challenges, from all types of recreational mathematics fields. For example, you will find symmetry puzzles, cover-up puzzles, and even fraction puzzles. The chapters are divided according to the number of pieces used; from single-piece puzzles to puzzles requiring a complete set.WHY USE THE SOMA CUBE? From the moment our creative team changed their rules of engagement for this new collection, the potential puzzle challenges and their solutions became nearly limitless! There is something magical and enchanting in those seven pieces that enabled us to find many puzzles and challenges!NEW CHALLENGES Most of the puzzles demonstrated within the book are original. Some are based on classic puzzles, as well as more modern ones, modified and presented by using the set of Soma pieces.LOW COST AND HIGH INTEREST FOR HOURS OF ENTERTAINMENT WITH INCREASING COMPLEXITY! This is a unique collection of puzzles — all you need is a set of the Soma cube. The puzzles range from easy to difficult and they appeal to a wide audience — all within the reach of the general public. It presents many geometrical and mathematical principles, and makes them easier to understand. However, no special knowledge in mathematics or geometry is required.
The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation-quite different from the usual models of automata and circuits-offering a new way of thinking about computation. The appen