Thinking About 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.
Thinking About Equations
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Author : David Keay Fleming
language : en
Publisher:
Release Date : 1987
Thinking About Equations written by David Keay Fleming and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Chemical equations categories.
Thinking About Ordinary Differential Equations
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Author : Robert E. O'Malley
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-13
Thinking About Ordinary Differential Equations written by Robert E. O'Malley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-13 with Mathematics categories.
Ordinary differential equations - the building blocks of mathematical modelling - are also key elements of disciplines as diverse as engineering and economics. While mastery of these equations is essential, adhering to any one method of solving them is not: this book stresses alternative examples and analyses by means of which the student can build an understanding of a number of approaches to finding solutions and understanding their behaviour. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application. An important resource for the advanced undergradute, this book would be equally useful for the beginning graduate student investigating further approaches to these essential equations.
Thinking With Equations
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Author : Charles E. Wales
language : en
Publisher:
Release Date : 1990
Thinking With Equations written by Charles E. Wales and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Equations categories.
Using Algebraic Thinking And Equations
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Author : Educational Testing Service
language : en
Publisher:
Release Date : 2003
Using Algebraic Thinking And Equations written by Educational Testing Service and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Thinking In Numbers
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Author : Daniel Tammet
language : en
Publisher: Hachette UK
Release Date : 2013-07-30
Thinking In Numbers written by Daniel Tammet and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-30 with Mathematics categories.
The irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers" (Oliver Sacks, MD). Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired variously by the complexity of snowflakes, Anne Boleyn's eleven fingers, and his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. His provocative and inspiring new book will change the way you think about math and fire your imagination to view the world with fresh eyes.
The Ten Equations That Rule The World
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Author : David Sumpter
language : en
Publisher: Flatiron Books
Release Date : 2021-08-24
The Ten Equations That Rule The World written by David Sumpter and has been published by Flatiron Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-24 with Business & Economics categories.
Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.
Developing Thinking In Algebra
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Author : John Mason
language : en
Publisher: SAGE
Release Date : 2005-04-23
Developing Thinking In Algebra written by John Mason and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-23 with Mathematics categories.
By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, this book makes it possible for all learners to succeed in thinking algebraically.
Advanced Mathematical Thinking
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Author : David Tall
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Advanced Mathematical Thinking written by David Tall 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 2006-04-11 with Education categories.
This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.
From Function To Equations
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Author : Vasiliki Farmaki
language : en
Publisher:
Release Date : 2004
From Function To Equations written by Vasiliki Farmaki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
The various difficulties and cognitive obstacles that students face when they are introduced to algebra are well documented and described in the relevant bibliography. If it is possible, in order to avoid these difficulties, we have adopted the functional approach widening the meaning of algebraic thinking. In this paper, which is part of wider research, we concentrate on problems that are modelled by linear equation with the unknown on both sides. We investigate the advantages and disadvantages of the functional approach in the solutions of these kinds of problems. The findings from our research suggest that the functional approach indeed gives the beginners a satisfactory way of answering, while the typical solution by equation demands maturity on the part of the students and could be postponed for a later time. [For complete proceedings, see ED489597.].