Among the simplest combinatorial designs, triple systems are a natural generalization of graphs and have connections with geometry, algebra, group theory, finite fields, and cyclotomy. Applications of triple systems are found in coding theory, cryptography, computer science, and statistics. In many cases, triple systems provide the prototype for deep results in combinatorial design theory, and a number of important results were first understood in the context of triple systems and then generalized. This book attempts to survey current knowledge on the subject, to gather together common themes, and to provide an accurate portrait of the huge variety of problems and results. It includes representative samples of the major styles of proof technique and a comprehensive bibliography.

If you love your tools, want to understand them, look after them, own the very best, and use them effectively, then this is the book for you. A complete visual guide featuring more than 800 images, and a foreword from Nick Offerman, The Tool Book pays homage to generations of craftsmanship, ingenuity, and know-how. It looks at tools from every angle, so you can understand the structure and make-up of your trusted tool, and includes illustrations of tools in action. Gallery pages display different types of hammer, spade, or chisel, and there's expert advice on what to look for when choosing a tool. Clear step-by-step photography walks you through how to use your tools like a pro, while easy-to-use charts provide tips on how best to care for them. The Tool Book explores, in loving detail, why each tool is the right tool for the job, and why it deserves pride of place in your tool shed, workshop, or studio.