This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

This math book will develop your child's color and number sense along with the many other benefits of hands-on activities. Working on these images will encourage your child to love the learning process. Other benefits include improved hand to eye coordination creativity and logic too. It's never too early to fall in love with education. Grab a copy today!

Colorful, ready-to use math games [that] encourage young students to practice important math concepts while developing social skills.

This start-to-finish, complete guide to Nuke will give you the foundations on the state-of-the-art visual effects software used by professionals in the film and television industries. Along with the hard-won advice and techniques from expert compositor and teacher Ron Ganbar, each chapter covers a complete lesson in the fundamentals, with step-by-step instructions included so you can easily follow along and start using the program right away. The projects used throughout the book are based on real-world examples of professional productions and project files are included with each chapter so you can work through all the examples. After discovering how to use the tools and understanding the compositing workflow, you’ll learn about basic and advanced compositing techniques, color correction, RotoPaint, keying, and tracking, as well as more advanced topics such as CGI and the 3D engine. In addition, you’ll learn about: • Working with nodes and process trees • Using CGI passes in Nuke to control 3D render looks • Camera Tracking techniques to combine 2D and 3D elements • Camera Projection to turn a single frame into moving images • Gizmos and all about creating your own tools in Nuke • Stereoscopic compositing Ron Ganbar has been a compositor since 1996 and visual effects instructor since 2001. He currently works on a variety of projects as a gun for hire as compositor, consultant, VFX supervisor, and trainer. Ron was made a “Teacher’s Trainer” by Apple for Shake in 2005 and has written, taught, and evaluated courses for the National Film and Television School, Apple, Peachpit Press, Westminster University, and others. "As both a talented compositor (with years of in-the-trenches experience) and an excellent teacher, Ron Ganbar has the unique ability to make even the most difficult concepts crystal clear. If you want to get up and running with Nuke as quickly as possible then start by buying this book!" —Ron Brinkmann, author of The Art and Science of Digital Compositing

Classroom Connections brings math, language arts, and science together around a common skill. This book for kindergartners covers shapes, opposites, colors, classifying, consonant and vowel sounds, synonyms and antonyms, counting, addition, and subtraction. The Classroom Connections series provides math, language arts, and science practice for children in kindergarten to grade 3. Each page ties three subject areas together around a common skill, giving children a fresh way to look at important concepts. Children are also provided with extension activities, tips, and hints related to each skill to encourage additional learning and real-world application.

All of JavaScript's newest features, in depth, made easy to understand. JavaScript is a rapidly changing language and it can be challenging to keep up with all the new toys being added. JavaScript: The New Toys explores the newest features of the world's most popular programming language while also showing readers how to track what's coming next. After setting the stage by covering who manages the process of improving JavaScript, how new features get introduced, terminology, and a high-level overview of new features, it details each new or updated item in depth, with example uses, possible pitfalls, and expert recommendations for updating old habits in light of new features. JavaScript: The New Toys: Covers all the additions to JavaScript in ES2015-ES2020 plus a preview of what's coming next Explores the latest syntax: nullish coalescing, optional chaining, let and const, class syntax, private methods, private fields, new.target, numeric separators, BigInt, destructuring, default parameters, arrow functions, async functions, await, generator functions, ... (rest and spread), template literals, binary and octal literals, ** (exponentiation), computed property/method names, for-of, for-await-of, shorthand properties, and others Details the new features and patterns including modules, promises, iteration, generators, Symbol, Proxy, reflection, typed arrays, Atomics, shared memory, WeakMap, WeakSet, and more Highlights common pitfalls and explains how to avoid them Shows how to follow the improvements process and even participate in the process yourself Explains how to use new features even before they're widely supported With its comprehensive coverage and friendly, accessible style, JavaScript: The New Toys provides an invaluable resource for programmers everywhere, whether they work in web development, Node.js, Electron, Windows Universal Apps, or another JavaScript environment.