Beyond The Quadratic Formula
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Beyond The Quadratic Formula
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Author : Ron Irving
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-01-29
Beyond The Quadratic Formula written by Ron Irving and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-29 with Education categories.
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.
Beyond The Quadratic Formula
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Author : RON IRVING.
language : en
Publisher:
Release Date : 2020
Beyond The Quadratic Formula written by RON IRVING. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Beyond The Quadratic Formula
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Author : Ron Irving
language : en
Publisher: Mathematical Association of America (MAA)
Release Date : 2013
Beyond The Quadratic Formula written by Ron Irving and has been published by Mathematical Association of America (MAA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Algebra categories.
A study guide to polynomials that goes beyond the familiar quadratic formula to cover cubic and quartic equations.
Beyond Formulas In Mathematics And Teaching
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Author : Daniel Chazan
language : en
Publisher: Teachers College Press
Release Date : 2000-01-01
Beyond Formulas In Mathematics And Teaching written by Daniel Chazan and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Education categories.
Based on the author’s experience as a researcher and teacher of lower-track students, Beyond Formulas in Mathematics and Teaching illuminates the complex dynamics of the algebra classroom. From within this setting, Daniel Chazan thoughtfully explores topics that concern all dedicated educators, how to really know one’s students, how to find engaging material, and how to inspire meaningful classroom conversations. Throughout, he addresses the predicaments that are central to the lives of teachers who work in standard educational settings. By highlighting teaching dilemmas, Chazan prompts readers to consider what their own responses would be in similar situations. With an eye to ways of restructuring roles and relationships, Beyond Formulas in Mathematics and Teaching is essential reading for educators seeking to enhance their teaching practices and understanding of students who may be estranged from school.
Beyond The Quartic Equation
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Author : R. Bruce King
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-16
Beyond The Quartic Equation written by R. Bruce King and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-16 with Mathematics categories.
One of the landmarks in the history of mathematics is the proof of the nonex- tence of algorithms based solely on radicals and elementary arithmetic operations (addition, subtraction, multiplication, and division) for solutions of general al- braic equations of degrees higher than four. This proof by the French mathema- cian Evariste Galois in the early nineteenth century used the then novel concept of the permutation symmetry of the roots of algebraic equations and led to the invention of group theory, an area of mathematics now nearly two centuries old that has had extensive applications in the physical sciences in recent decades. The radical-based algorithms for solutions of general algebraic equations of degrees 2 (quadratic equations), 3 (cubic equations), and 4 (quartic equations) have been well-known for a number of centuries. The quadratic equation algorithm uses a single square root, the cubic equation algorithm uses a square root inside a cube root, and the quartic equation algorithm combines the cubic and quadratic equation algorithms with no new features. The details of the formulas for these equations of degree d(d = 2,3,4) relate to the properties of the corresponding symmetric groups Sd which are isomorphic to the symmetries of the equilateral triangle for d = 3 and the regular tetrahedron for d — 4.
Microsoft Office And Beyond
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Author : Theodor Richardson
language : en
Publisher: Stylus Publishing, LLC
Release Date : 2011-07-15
Microsoft Office And Beyond written by Theodor Richardson and has been published by Stylus Publishing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Computers categories.
This book is a companion for students and novices to begin with the computing environment and the tasks associated with productivity software that will be used throughout their education and professional careers. Designed to primarily address the Windows operating system and the 2010 Microsoft Office application suite, it also includes instructions for students using OpenOffice and MacOS platforms. The focus of this text is to provide new students and those with some experience with the skills needed to proficiently discuss essential computer concepts, navigate and conduct basic tasks using an operating system, and develop files using basic productivity applications. Video tutorials on the DVD will support each chapter by demonstrating the principles presented. FEATURES: • Designed to address the Windows operating system and the 2010 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 • Includes 4-color design with supplementary video tutorials • Covers the topic of interoperability of the software packages throughout the text • Numerous instructor supplements available upon adoption • Includes a comprehensive DVD with project files, tips, figures, and shortcuts.
Chuckles The Rocket Dog A Companionable Guide To Polynomials And Quadratics Student Text And Workbook
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Author : Linus Christian Rollman
language : en
Publisher: Arbor Center for Teaching
Release Date : 2011-12
Chuckles The Rocket Dog A Companionable Guide To Polynomials And Quadratics Student Text And Workbook written by Linus Christian Rollman and has been published by Arbor Center for Teaching this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12 with Mathematics categories.
Volume III of a writing-based, common sense, whimsical & engaging introduction to algebra for middle-grade math students.
Algebra Ii Workbook For Dummies
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Author : Mary Jane Sterling
language : en
Publisher: John Wiley & Sons
Release Date : 2018-12-12
Algebra Ii Workbook For Dummies written by Mary Jane Sterling and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Mathematics categories.
Boost your chances of scoring higher at Algebra II Algebra II introduces students to complex algebra concepts in preparation for trigonometry and calculus. In this new edition of Algebra II Workbook For Dummies, high school and college students will work through the types of Algebra II problems they'll see in class, including systems of equations, matrices, graphs, and conic sections. Plus, the book now comes with free 1-year access to chapter quizzes online! A recent report by ACT shows that over a quarter of ACT-tested 2012 high school graduates did not meet any of the four college readiness benchmarks in mathematics, English, reading, and science. Algebra II Workbook For Dummies presents tricky topics in plain English and short lessons, with examples and practice at every step to help students master the essentials, setting them up for success with each new lesson. Tracks to a typical Algebra II class Can be used as a supplement to classroom learning or for test prep Includes plenty of practice and examples throughout Comes with free access to chapter quizzes online Get ready to take the intimidation out of Algebra II!
The Jewels Of Algebra Unlocking The Secrets Of Mathematical Patterns
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-20
The Jewels Of Algebra Unlocking The Secrets Of Mathematical Patterns written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-20 with Mathematics categories.
Embark on an algebraic voyage with "The Jewels of Algebra: Unlocking the Secrets of Mathematical Patterns," a comprehensive guide to the captivating world of algebra. Designed for students seeking a deeper understanding of algebraic concepts, this book offers a journey through the intricacies of equations, functions, and mathematical structures. Delve into the fundamental principles of algebra, exploring the language of variables, expressions, equations, and inequalities. Discover the art of problem-solving, learning to approach algebraic challenges with ingenuity and precision. Unravel the mysteries of linear equations and inequalities, mastering the techniques for solving and graphing them. Explore their applications in real-world scenarios, witnessing the power of algebra in modeling and analyzing various phenomena. Conquer the complexities of exponents and polynomials, venturing into the realm of scientific notation, monomial operations, and polynomial factorization. Experience the satisfaction of manipulating algebraic expressions with ease and confidence. Journey into the fascinating world of quadratic equations and functions, encountering the parabolic curves that define these functions. Unlock the secrets of the quadratic formula, a powerful tool for solving quadratic equations, and delve into the diverse applications of these functions in various fields. Unravel the intricacies of radical expressions and equations, venturing into the realm of radicals and radical expressions. Learn to simplify these expressions with dexterity, rationalize denominators with ease, and conquer radical equations with confidence. Dive into the captivating world of functions and their graphs, where you'll discover the beauty of linear, quadratic, and exponential functions. Explore transformations of functions, witnessing the remarkable changes that occur when functions are stretched, shifted, or reflected. Embark on a statistical odyssey, delving into the realm of descriptive statistics, probability, random variables, and the normal distribution. Learn to analyze data with precision, make informed predictions, and uncover the patterns that govern random events. Finally, explore the elegance of conic sections and trigonometry, discovering the beauty of parabolas, ellipses, hyperbolas, and circles. Unravel the mysteries of trigonometric functions, identities, and their applications, experiencing the interconnectedness of algebra and geometry. "The Jewels of Algebra" is more than just a textbook; it's an invitation to embark on an intellectual adventure, to delve into the depths of algebraic concepts, and to unlock the secrets of mathematical patterns. With engaging examples, thought-provoking exercises, and captivating applications, this book promises an enriching and rewarding learning experience for students of all levels. If you like this book, write a review on google books!
Beyond Peaceful Coexistence The Emergence Of Space Time And Quantum
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Author : Ignazio Licata
language : en
Publisher: World Scientific
Release Date : 2016-03-30
Beyond Peaceful Coexistence The Emergence Of Space Time And Quantum written by Ignazio Licata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Science categories.
'It may be that a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal.'J S BellBeyond Peaceful Coexistence: The Emergence of Space, Time and Quantum brings together leading academics in mathematics and physics to address going beyond the 'peaceful coexistence' of space-time descriptions (local and continuous ones) and quantum events (discrete and non-commutative ones). Formidable challenges waiting beyond the Standard Model require a new semantic consistency within the theories in order to build new ways of understanding, working and relating to them. The original A. Shimony meaning of the peaceful coexistence (the collapse postulate and non-locality) appear to be just the tip of the iceberg in relation to more serious fundamental issues across physics as a whole.Chapters in this book present perspectives on emergent, discrete, geometrodynamic and topological approaches, as well as a new interpretative spectrum of quantum theories after Copenhagen, discrete time theories, time-less approaches and 'super-fluid' pictures of space-time.As well as stimulating further research among established theoretical physicists, the book can also be used in courses on the philosophy and mathematics of theoretical physics.