Download or read book Applying Algebra to Everyday Life written by Erik Richardson and published by Cavendish Square Publishing, LLC. This book was released on 2016-07-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much more than finding x, algebra forms the basis to describe any process that has variation. Everyday numbers like money and time are common variables. In this book, key concepts from algebra, such as lines, polynomials and the quadratic formula, are shown at work in surprising applications including industrial baking, robotics, and the natural world.
Download or read book Applying Algebra to Everyday Life written by Erik Richardson and published by Cavendish Square Publishing, LLC. This book was released on 2016-07-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much more than finding x, algebra forms the basis to describe any process that has variation. Everyday numbers like money and time are common variables. In this book, key concepts from algebra, such as lines, polynomials and the quadratic formula, are shown at work in surprising applications including industrial baking, robotics, and the natural world.
Download or read book Discrete Groups Expanding Graphs and Invariant Measures written by Alex Lubotzky and published by Springer Science & Business Media. This book was released on 2010-02-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.
Download or read book Math for Real Life written by Jim Libby and published by McFarland. This book was released on 2017-01-05 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Where are we ever going to use this?" Every high school math student has asked this question. Often teachers themselves aren't sure how to respond. One answer is that higher mathematics learned in high school will be essential to learning yet more at the college level. A more satisfactory answer calls for an awareness of how math is applied in many specific areas. Written primarily for teachers, this book presents hundreds of practical applications for mathematics--from baseball statistics to the theory of relativity--that can be understood by anyone with a knowledge of high school algebra, geometry and trigonometry.
Download or read book Applying Algebra written by John L. McCabe and published by . This book was released on 1994 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include: Formulas; Equations; Ratios and proportions; Percents. Algebra applied to everyday problems.
Download or read book Applying Modeling to Everyday Life written by Erik Richardson and published by Cavendish Square Publishing, LLC. This book was released on 2016-07-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling offers us a way to explain past natural and cultural phenomena, and perhaps more importantly, it gives us mathematical forecasts for the future. This title explores familiar models such as linear regression and computer modeling to show how some aspects of everyday life, such as weather, can be shaped and predicted by mathematics.
Download or read book Applying Functions to Everyday Life written by Erik Richardson and published by Cavendish Square Publishing, LLC. This book was released on 2016-07-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions, the language of advanced mathematical processes, model input and output. Some functions are direct, such as the result of pressing a computer key. Others are more complex, such as investigating car crashes or launching a satellite. This book discusses how the inputs and outputs of functions are at play in our daily lives.
Download or read book Applying Geometry to Everyday Life written by Erik Richardson and published by Cavendish Square Publishing, LLC. This book was released on 2016-07-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental shapes of geometry can be built into the grand sweeps of the Sydney Opera House or something as small as a snowflake. This title takes geometric concepts like polygons, platonic solids, and angles and demonstrates their myriad appearances in the world around us. From the Great Pyramid of Giza to sinking a bank shot in pool, geometry abounds.
Download or read book Applying Statistics and Probability to Everyday Life written by Erik Richardson and published by Cavendish Square Publishing, LLC. This book was released on 2016-07-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stopping a plague (even zombies), tomorrows likelihood of rain, and buying a lottery ticket are united by chance. Wildlife conservation, a baseball box score, and governmental spending are united by the need to record numbers. Statistics and probability measure the current state of something and the relative likelihood of potential future states. This book will explore how common experiences are counted, evaluated, and used to make intelligent decisions for the future based on uncertain outcomes.
Download or read book Applying Number and Quantity to Everyday Life written by Erik Richardson and published by Cavendish Square Publishing, LLC. This book was released on 2016-07-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although we learn the fundamentals of counting and measuring in our early years, these concepts form the foundation of complex processes, from mountain climbing and skydiving to video game design. This title examines the seemingly simple ideas of number and quantity and shows how they are used in real life.
Download or read book The Mathematics of Everyday Life written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2018-08-21 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two experienced math educators help the average reader discover not only the everyday usefulness of math but the fun that comes from mastering the basics of arithmetic, algebra, geometry, and more. If you think of mathematics as a series of pointless classroom exercises without much relevance to real life, this book will change your mind. As the authors show, math is deeply embedded in almost every aspect of daily life--from managing your personal finances, making consumer purchases, and sharpening your computational skills, to learning to apply mathematical concepts that will give you a better grasp of both ordinary and extraordinary events and help you better appreciate the world we live in. With some basic geometry under your belt, you'll discover that there is an optimal point on a soccer field from which to shoot a goal. And you'll be more clever with the gears of a bike. If you like to play cards or go to the casino, knowing something about probability will give you an edge. You'll also have an enhanced understanding of the "whispering effect" inside the Capitol rotunda, why a car's headlights are so bright, and even why sewer covers are round. After reading this entertaining and instructive book, you'll come away with a whole new awareness of how elegantly mathematics explains everyday experiences and observations--from present day items to classical art and architecture.
Download or read book MODERN ALGEBRA WITH APPLICATIONS written by William J Gilbert and published by John Wiley & Sons. This book was released on 2008-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market_Desc: Upper undergraduate and graduate level modern algebra courses Special Features: · Includes applications so students can see right away how to use the theory· This classic text has sold almost 12,000 units· Contains numerous examples· Includes chapters on Boolean Algebras, groups, quotient groups, symmetry groups in three dimensions, Polya-Burnside method of enumeration, monoids and machines, rings and fields, polynomial and Euclidean rings, quotient rings, field extensions, Latin squares, geometrical constructions, and error-correcting codes· Andwers to odd-numbered exercises so students can check their work About The Book: The book covers all the group, ring, and field theory that is usually contained in a standard modern algebra course; the exact sections containing this material are indicated in the Table of Contents. It stops short of the Sylow theorems and Galois theory. These topics could only be touched on in a first course, and the author feels that more time should be spent on them if they are to be appreciated.
Download or read book Abstract Algebra with Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 2018-12-20 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.
Download or read book Everyday Calculus written by Oscar Fernandez and published by Princeton University Press. This book was released on 2017-03-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.
Download or read book The Fundamental Theorem of Algebra written by Benjamin Fine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
Download or read book Hands On Math Projects With Real Life Applications written by Judith A Muschla and published by Wiley + ORM. This book was released on 2011-01-04 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this hands-on math guide features sixty engaging projects for students in grades six to twelve learn math concepts and skills. This book is filled with classroom-tested projects that help students build skills in problem solving, critical thinking, and decision making. They also support a positive group environment by emphasize cooperative learning, group sharing, verbalizing ideas, and research skills, as well as writing clearly in mathematics and across other subject areas. Each of the projects follows the same proven format and includes instructions for the teacher, a Student Guide, and one or more reproducible datasheets and worksheets. They all include the elements needed for a successful individual or group learning experience. This second edition includes new projects and information about technology-based and e-learning strategies. Hands-On Math Projects with Real-Life Applications includes a special Skills Index that identifies the skills emphasized in each project. This book will save you time and help you instill in your students a genuine appreciation for the world of mathematics.
