Working With Equations

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Thinking About Equations

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Author : Matt A. Bernstein
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-20

Thinking About Equations written by Matt A. Bernstein 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 2011-09-20 with Mathematics categories.

An accessible guide to developing intuition and skills for solving mathematical problems in the physical sciences and engineering Equations play a central role in problem solving across various fields of study. Understanding what an equation means is an essential step toward forming an effective strategy to solve it, and it also lays the foundation for a more successful and fulfilling work experience. Thinking About Equations provides an accessible guide to developing an intuitive understanding of mathematical methods and, at the same time, presents a number of practical mathematical tools for successfully solving problems that arise in engineering and the physical sciences. Equations form the basis for nearly all numerical solutions, and the authors illustrate how a firm understanding of problem solving can lead to improved strategies for computational approaches. Eight succinct chapters provide thorough topical coverage, including: Approximation and estimation Isolating important variables Generalization and special cases Dimensional analysis and scaling Pictorial methods and graphical solutions Symmetry to simplify equations Each chapter contains a general discussion that is integrated with worked-out problems from various fields of study, including physics, engineering, applied mathematics, and physical chemistry. These examples illustrate the mathematical concepts and techniques that are frequently encountered when solving problems. To accelerate learning, the worked example problems are grouped by the equation-related concepts that they illustrate as opposed to subfields within science and mathematics, as in conventional treatments. In addition, each problem is accompanied by a comprehensive solution, explanation, and commentary, and numerous exercises at the end of each chapter provide an opportunity to test comprehension. Requiring only a working knowledge of basic calculus and introductory physics, Thinking About Equations is an excellent supplement for courses in engineering and the physical sciences at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers, practitioners, and educators in all branches of engineering, physics, chemistry, biophysics, and other related fields who encounter mathematical problems in their day-to-day work.

Solving Equations By Working Backwards

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Author : AIMS Education Foundation
language : en
Publisher:
Release Date : 2012

Solving Equations By Working Backwards written by AIMS Education Foundation and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Algebra categories.

Uses comics to clarify and review the lessons on equations.

Head First Algebra

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Author : Tracey Pilone
language : en
Publisher: "O'Reilly Media, Inc."
Release Date : 2009

Head First Algebra written by Tracey Pilone and has been published by "O'Reilly Media, Inc." this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.

Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, the book uses a visually rich format designed for the way your brain works, not a text-heavy approach that puts you to sleep.--Publisher's note.

Algebra 1 Single Variable Linear Equations Workbook

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Author : Norman Balason
language : en
Publisher:
Release Date : 2021-04-11

Algebra 1 Single Variable Linear Equations Workbook written by Norman Balason and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-11 with categories.

DESCRIPTION The ALGEBRA 1 SINGLE VARIABLE LINEAR EQUATIONS WORKBOOK is a resource that students can use to practice applying the properties, concepts, and computational techniques that are used to solve one-step, two-step, three-step, and multiple-step single variable linear equations. This workbook contains examples of step-by-step solutions for these types of equations as reference for students. This workbook also contains a review of the Commutative Properties of Addition and Multiplication, Associative Properties of Addition and Multiplication, the Additive Inverse Property, the Multiplicative Inverse Property, the Subtraction Property, the Identity Properties of Addition and Multiplication, and the Distributive Property of Multiplication. Additionally, this workbook provides examples of equations that are conditional, an identity, and a contradiction. There are step-by-step solutions for every problem in this workbook. This enables students to verify their work and solutions, and correct any mistakes. If students adhere to this process diligently, they should develop confidence in their abilities to solve the types of singe variable linear equations. HOW TO USE THIS WORKBOOK As students work their way through the different types of equations in this workbook, they may find some of the equations a bit of a challenge to solve. This is intentional so students get practice in solving various complex problems. If they get stuck on a problem, they can take a quick look at the solutions for the next step in how to proceed. Then, they should go back to the problem and keep working on it until it's finished. Afterwards, they should check their work and answer. If students can do the majority of these challenging problems correctly on their own, they can feel a sense of accomplishment knowing that they solved difficult problems. Note: These problems will definitely improve their computational skills if they minimize their use of calculators. APPLICATION PROBLEMS This workbook contains a total of 147 problems. The last 37 problems are word problems; twelve which ask students to find a number under a given set of conditions. Some problems are percentage problems and distance problems. There is a pair of word problems where students are asked to convert temperature given in degrees Celsius to degrees Fahrenheit, and vice versa. There are other word problems where students have to determine how to use the information in the problem to substitute for one or multiple variables to reduce the equation to a single variable linear equation. ABOUT THE AUTHOR Norman Balason is a high school math teacher. He is in his 27th year of teaching high school math classes. During his teaching career he has taught Pre-Algebra, Algebra 1, Geometry, Algebra 2, and Pre-Calculus. Norman earned his B.A. in Mathematics from the University of Hawaii at Manoa, and a M.Ed. from Chaminade University of Honolulu. Norman is a Navy Veteran. He enlisted in the United States Navy upon graduating from high school. He worked 12-on, 12-off shifts seven days a week as an F-14 Tomcat plane captain (not a pilot) for the VF-41 Black Aces while they were out at sea on the great aircraft carrier U.S.S. Nimitz. He is proud to have served his country while traveling the world and developed life-long friendships through unforgettable experiences. Norman has Algebra 1 and Algebra 2 worksheets that are available on the Teachers Pay Teachers website at https://www.teacherspayteachers.com/Store/Ncbeez-Math-Class. Norman enjoys his free time reading biographies, listening to music, playing the guitar, watching finance and investing videos, and hanging out with family and friends.

Numerical Methods That Work

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Author : Forman S. Acton
language : en
Publisher: MAA
Release Date : 1990

Numerical Methods That Work written by Forman S. Acton and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Numerical Methods that Work, originally published in 1970, has been reissued by the MAA with a new preface and some additional problems. Acton deals with a commonsense approach to numerical algorithms for the solution of equations: algebraic, transcendental, and differential. He assumes that a computer is available for performing the bulk of the arithmetic. The book is divided into two parts, either of which could form the basis of a one-semester course in numerical methods. Part I discusses most of the standard techniques: roots of transcendental equations, roots of polynomials, eigenvalues of symmetric matrices, and so on. Part II cuts across the basic tools, stressing such commonplace problems as extrapolation, removal of singularities, and loss of significant figures. The book is written with clarity and precision, intended for practical rather than theoretical use. This book will interest mathematicians, both pure and applied, as well as any scientist or engineer working with numerical problems.

Numerical Algebra Matrix Theory Differential Algebraic Equations And Control Theory

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Author : Peter Benner
language : en
Publisher: Springer
Release Date : 2015-05-09

Numerical Algebra Matrix Theory Differential Algebraic Equations And Control Theory written by Peter Benner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-09 with Mathematics categories.

This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics. This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III. Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

The Three Body Problem And The Equations Of Dynamics

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Author : Henri Poincaré
language : en
Publisher: Springer
Release Date : 2017-05-11

The Three Body Problem And The Equations Of Dynamics written by Henri Poincaré and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-11 with Mathematics categories.

Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.

A Guide To The Mathematical Student In Reading Reviewing And Working Examples

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Author : Charles Lutwidge Dodgson
language : en
Publisher:
Release Date : 1864

A Guide To The Mathematical Student In Reading Reviewing And Working Examples written by Charles Lutwidge Dodgson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1864 with Mathematics categories.

A New Simple And General Method Of Solving Numerical Equations Of All Orders

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Author : Thomas Weddle
language : en
Publisher: Legare Street Press
Release Date : 2023-07-18

A New Simple And General Method Of Solving Numerical Equations Of All Orders written by Thomas Weddle and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with categories.

This book is a comprehensive guide to solving numerical equations of any order. It provides a simple and general method that can be used by students and researchers in various fields of mathematics. Mathematicians would find this book a valuable reference for their work. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Analysis And Solution Of Cubic And Biquadratic Equations

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Author : John Radford Young
language : en
Publisher: Palala Press
Release Date : 2016-05-20

The Analysis And Solution Of Cubic And Biquadratic Equations written by John Radford Young and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-20 with categories.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.