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"A reader-friendly introduction to modern algebra with important examples from various areas of mathematics. Featuring a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups,...
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"Our fascination with numbers begins when we are children, and continues, for most of us, throughout our lives. We start counting our fingers and toes, and end up balancing check books and calculating risk. So powerful is the appeal of numbers that many people ascribe to them a mystical significance. And there are some numbers whose importance even transcends the supernatural--these numbers work to explain our universe and how it behaves. In Cosmic...
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"Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. Geometry doesn't just measure the world--it explains it. Shape shows us how"--Provided by publisher
"How should a democracy choose its representatives? How can you stop a pandemic...
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"MATH PROBLEMS MADE EASY: Written with lively text and simple examples, this book will illustrate all the basics--addition, subtraction, multiplication, and division--and advanced topics such as ratios decimals, powers, and roots. Filled with shortcuts, tips, tricks, diagrams and a glossary, this book promises to provide many eureka moments as a light bulb goes off when you finally grasp concepts that may have mystified you up until now"--
Author
Description
"Preface To the student: We think that the theory dealing with what is hard about computation (and what is impossible!) is challenging but fun. This book grows out of these ideas, and our approach to teaching a course in computational complexity. There is no doubt that some of the material in these chapters is what might be called "wrap your brain around it" material, where a first reaction might be that the authors are pulling off a trick like a...
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Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations. Whether he is illuminating how often you should flip your mattress to get the maximum lifespan from it, explaining just how...
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"From the bestselling author of Here's Looking at Euclid, a dazzling new book that turns even the most complex math into a brilliantly entertaining narrative. From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world's favorite number, and meets a mathematician...
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Description
Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes...
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Description
Offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics.--From publisher description.
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Description
"In How Not to Be Wrong, Jordan Ellenberg shows us that math isn't confined to abstract incidents that never occur in real life, but rather touches everything we do--the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It's a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to...
Author
Description
"Preface Welcome to an Introduction to the Art of Programming Using Scala". This book is intended to be used in rst and second semester college classrooms to teach students beginning programming. To accomplish this task, the Scala1 programming language is used. The book was constructed with a focus on the topics students need to know. These topics were then woven into a format that was deemed the best way to communicate those ideas. Because there...
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Description
"The appeal of games and puzzles is timeless and universal. In this unique book, David Wells explores the fascinating connections between games and mathematics, proving that mathematics is not just about tedious calculation but imagination, insight and intuition. The first part of the book introduces games, puzzles and mathematical recreations, including the Tower of Hanoi, knight tours on a chessboard, Nine Men's Morris and more. The second part...
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Description
"This book introduces the vast wealth of mathematical concepts and methods on which the Internet depends. It illustrates mathematical and algorithmic methods with examples from various fields to show the universality of the concepts presented. The authors provide complete discussions of sequences, exponential growth, algorithms and complexity, randomness, graphs and networks, search engines, parallel and distributed computation, and cryptography....
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Description
"What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible...
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Description
"Developed from the author's many years of teaching computing courses, Programming in C++ for Engineering and Science guides readers in designing programs to solve real problems encountered in engineering and scientific applications, including radioactive decay, pollution indices, digital circuits, differential equations, Internet addresses, data analysis, simulation, quality control, electrical networks, data encryption, and beam deflection. To make...
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Description
"Max Tegmark leads us on an astonishing journey through past, present, and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and ground-breaking science, he not only helps us grasp his often mind-boggling theories (his website gives...
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"Codes are a part of everyday life, from the ubiquitous Universal Price Code (UPC) to postal zip codes. They need not be intended for secrecy. They generally use groups of letters (sometimes pronounceable code words) or numbers to represent other words or phrases. There is typically no mathematical rule to pair an item with its representation in code. A few more examples will serve to illustrate the range of codes"--
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