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: 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 : 150

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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: 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: 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: 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: Paul Pollack
Publisher: American Mathematical Soc.
ISBN: 1470436531
Category : Algebraic number theory
Languages : en
Pages : 312

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Book Description
Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q . Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.

Author: Daniel Chazan
Publisher: Teachers College Press
ISBN: 9780807739181
Category : Education
Languages : en
Pages : 222

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Book Description
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.

Author: Leonhard Euler
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 960

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Book Description

Author: Albert Cuoco
Publisher: MAA
ISBN: 1939512018
Category : Mathematics
Languages : en
Pages : 481

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Book Description
A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.