Beyond the Quadratic Formula PDF Download

Author: Ronald S. Irving
Publisher: MAA
ISBN: 0883857839
Category : Mathematics
Languages : en
Pages : 246

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Book Description
A study guide to polynomials that goes beyond the familiar quadratic formula to cover cubic and quartic equations.

Author: Ron Irving
Publisher: Mathematical Association of America (MAA)
ISBN: 9781614441120
Category : Algebra
Languages : en
Pages : 245

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Book Description
A study guide to polynomials that goes beyond the familiar quadratic formula to cover cubic and quartic equations.

Author: Ron Irving
Publisher: American Mathematical Soc.
ISBN: 147045176X
Category : Education
Languages : en
Pages : 228

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Book Description
The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. The book is designed for self-study, with many results presented as exercises and some supplemented by outlines for solution. The intended audience includes in-service and prospective secondary mathematics teachers, high school students eager to go beyond the standard curriculum, undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject.

Author: R. Bruce King
Publisher: Springer Science & Business Media
ISBN: 0817648496
Category : Mathematics
Languages : en
Pages : 159

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Book Description
The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist

Author: Mario Livio
Publisher: Simon and Schuster
ISBN: 0743274628
Category : Mathematics
Languages : en
Pages : 367

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Book Description
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Author: Jason Marshall
Publisher: St. Martin's Griffin
ISBN: 9781429983365
Category : Mathematics
Languages : en
Pages : 496

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Book Description
Need some serious help solving equations? Totally frustrated by polynomials, parabolas and that dreaded little x? THE MATH DUDE IS HERE TO HELP! Jason Marshall, popular podcast host known to his fans as The Math Dude, understands that algebra can cause agony. But he's determined to show you that you can solve those confusing, scream-inducing math problems--and it won't be as hard as you think! Jason kicks things off with a basic-training boot camp to help you review the essential math you'll need to truly "get" algebra. The basics covered, you'll be ready to tackle the concepts that make up the core of algebra. You'll get step-by-step instructions and tutorials to help you finally understand the problems that stump you the most, including loads of tips on: - Working with fractions, decimals, exponents, radicals, functions, polynomials and more - Solving all kinds of equations, from basic linear problems to the quadratic formula and beyond - Using graphs and understanding why they make solving complex algebra problems easier Learning algebra doesn't have to be a form of torture, and with The Math Dude's Quick and Dirty Guide to Algebra, it won't be. Packed with tons of fun features including "secret agent math-libs," and "math brain games," and full of quick and dirty tips that get right to the point, this book will have even the biggest math-o-phobes basking in a-ha moments and truly understanding algebra in a way that will stick for years (and tests) to come. Whether you're a student who needs help passing algebra class, a parent who wants to help their child meet that goal, or somebody who wants to brush up on their algebra skills for a new job or maybe even just for fun, look no further. Sit back, relax, and let this guide take you on a trip through the world of algebra.

Author: Theodor Richardson
Publisher: Mercury Learning and Information
ISBN: 1942270127
Category : Computers
Languages : en
Pages : 350

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Book Description
Microsoft Office 2013/365 and Beyond is divided into five sections with 16 chapters that progressively introduce you to computer concepts from the moment you hit the power button all the way through to using a variety of productivity software applications available in Microsoft Office 2013 and Microsoft Office for Mac 2011. The focus of this text is to provide readers with the skills needed to discuss essential computer concepts, navigate and conduct basic tasks using an operating system, and develop files using basic productivity applications. The companion disc includes all of the files needed to complete the chapter exercises within the text. You will also find video tutorials, a repository of high-resolution images from the chapters, and samples of completed projects for comparison. Features: * Designed to address the Windows operating system and the 2013 Microsoft Office application suite * Integrates the use of both MacOS and OpenOffice into the text to describe the respective concepts in Windows and Microsoft Office (MS Outlook, Word, PowerPoint & Excel) * Includes a dynamic 4-color design with supplementary video tutorials to enhance the learning process * Discusses common computer applications, including Adobe Reader (for reading PDF files) and Microsoft OneNote for Windows (for managing files). Additional productivity tools like OpenOffice.org are presented * Includes a comprehensive DVD with sample tutorial videos, project files from the text, figures, Excel functions and formulas, and MS Office shortcuts * Numerous instructor supplements and companion Web site available upon adoption

Author: Marc Peter Deisenroth
Publisher: Cambridge University Press
ISBN: 1108569323
Category : Computers
Languages : en
Pages : 392

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Book Description
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

Author: Don Sabado
Publisher:
ISBN:
Category :
Languages : en
Pages : 58

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Book Description
Description: The quadratic equation which is introduced in Algebra 1 and Algebra 2 can help Math students solve mathematics equations beyond the quadratic equation. Students were introduced to solving quadratic equations using three methods: A. Solve by Factoring B. Solve by the Quadratic Formula C. Solve by Completing the Square Note: The Workbook contains solving for quadratic equations and solving for equations in quadratic form. About the Author: Visit Amazon Author Central Page

Author: William P. Berlinghoff
Publisher: American Mathematical Soc.
ISBN: 147046456X
Category : Education
Languages : en
Pages : 331

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Book Description
Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.