Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Download or read book My Best Mathematical and Logic Puzzles written by Martin Gardner and published by Courier Corporation. This book was released on 2013-04-10 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included.
Download or read book The Annotated Turing written by Charles Petzold and published by John Wiley & Sons. This book was released on 2008-06-16 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Programming Legend Charles Petzold unlocks the secrets of the extraordinary and prescient 1936 paper by Alan M. Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be computable, creating the field of computability theory in the process, a foundation of present-day computer programming. The book expands Turing’s original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing’s statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others. Interwoven into the narrative are the highlights of Turing’s own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.
Download or read book G del s Proof written by Ernest Nagel and published by Psychology Press. This book was released on 1989 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godel’s Proofby Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.
Download or read book Numbricks Mixed Grids Large Print Easy to Hard Volume 5 276 Puzzles written by Nick Snels and published by PuzzleBooks.net. This book was released on 2014-10-17 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: When you buy this book you get an electronic version (PDF file) of the interior of this book. Become a master in solving Numbricks. You will experience Numbricks 10x10, Numbricks 13x13 and Numbricks 15x15. You get the perfect mix of different sizes of Numbricks to keep you entertained for weeks. After solving all the puzzles in this book, you will be a Numbricks Pro. You start with easy Numbricks puzzles, which keep getting bigger and bigger and you gradually build your way up to extremely hard Numbricks puzzles. Once you pick up this book, you won't be able to put it back down. You have been warned! Only 1 large print puzzle per page, with lots of white space for scribbling. Numbricks Mixed Grids Large Print - Easy to Hard is a collection of 276 puzzles: 24 easy Numbricks puzzles per grid size, totaling 72 easy puzzles 24 medium Numbricks puzzles per grid size, totaling 72 medium puzzles 24 hard Numbricks puzzles per grid size, totaling 72 hard puzzles 60 extra logic puzzles The goal of Numbricks is to fill in the missing numbers, in sequential order, going horizontally and vertically only. Diagonal paths are not allowed. I guarantee that every logic puzzle in this Numbricks puzzle book has been carefully checked to ensure that each puzzle has only 1 solution. None of the puzzles in this book will appear in any of the other PuzzleBooks.net books.
