Thinking With Equations

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Thinking About Equations

Author : Matt A. Bernstein
Publisher : John Wiley & Sons
ISBN 13 : 1118210646
Total Pages : 189 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Thinking About Equations by : Matt A. Bernstein

Download or read book Thinking About Equations written by Matt A. Bernstein and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Ten Equations That Rule the World

Author : David Sumpter
Publisher : Flatiron Books
ISBN 13 : 1250246970
Total Pages : 336 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis The Ten Equations That Rule the World by : David Sumpter

Download or read book The Ten Equations That Rule the World written by David Sumpter and published by Flatiron Books. This book was released on 2021-08-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

How to Remember Equations and Formulae

Author : Phil Chambers
Publisher : LTL Training Ltd
ISBN 13 : 1904906044
Total Pages : 125 pages
Book Rating : 4.9/5 (49 download)

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Book Synopsis How to Remember Equations and Formulae by : Phil Chambers

Download or read book How to Remember Equations and Formulae written by Phil Chambers and published by LTL Training Ltd. This book was released on 2013-08-22 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: At last! The book that all maths and physics students have been waiting for - "How To Remember Equations And Formulae" “If you need to remember formulae of any length, for study or work, and you’d like your hand held while you master this skill effortlessly in a fun way, you should buy this book today.” Amanda Ollier, author of the Self Help Bible and The Mindset Shift Never forget an equation or formula ever again Save time in exams, get the results you really deserve Impress your tutors and potential employers Stand out against others in the job market Enhance your earning potential Perfect for anyone studying or teaching maths, physics, accountancy, economics, engineering or the sciences, from A levels right through to postgraduate. What the experts say... “This is an outstanding and comprehensive book that delivers on every promise! All memory strategies including mind mapping and the journey system are here for you to depend on and you’ll quickly realize this is your most treasured memory resource.” Pat Wyman, founder HowToLearn.com and author, Amazing Grades “I am delighted to recommend this book to students. Phil’s and James’ work is based on a sound application of the fundamental principles of memory training, namely the use of imagination, association, and location.” Dominic O’Brien, Eight times World Memory Champion, Author and Media Personality “Explains the techniques in a beautifully simple and eloquent manner.” David Thomas GMM. International speaker, Sunday Times No.1 bestselling author, media personality “What James Smith and Phil Chambers offer their readers here is a thoroughly researched and simple system, which combines mnemonics and mind mapping in a unique and interesting way. As well as covering just about every mathematical equation you can think of, James and Phil offer solutions for the English, Greek and Roman alphabets and all with a splash of humour and encouraging examples to get you started. I wish this has existed when I was at school, I will certainly be introducing this to my students and I am confident their results will improve as a direct result.” Amanda Ollier, author of The Self Help Bible and The Mindset Shift

Open Middle Math

Author : Robert Kaplinsky
Publisher : Taylor & Francis
ISBN 13 : 1003839886
Total Pages : 193 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Open Middle Math by : Robert Kaplinsky

Download or read book Open Middle Math written by Robert Kaplinsky and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Thinking about Ordinary Differential Equations

Author : Robert E. O'Malley
Publisher : Cambridge University Press
ISBN 13 : 9780521557429
Total Pages : 264 pages
Book Rating : 4.5/5 (574 download)

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Book Synopsis Thinking about Ordinary Differential Equations by : Robert E. O'Malley

Download or read book Thinking about Ordinary Differential Equations written by Robert E. O'Malley and published by Cambridge University Press. This book was released on 1997-01-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Mathematically

Author : Thomas P. Carpenter
Publisher : Heinemann Educational Books
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Thinking Mathematically by : Thomas P. Carpenter

Download or read book Thinking Mathematically written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2003 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic

Emotional Equations

Author : Chip Conley
Publisher : Simon and Schuster
ISBN 13 : 1451607253
Total Pages : 290 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis Emotional Equations by : Chip Conley

Download or read book Emotional Equations written by Chip Conley and published by Simon and Schuster. This book was released on 2012-01-10 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the mathematical properties of universal emotional truths, describing how during a time of personal loss the author developed "emotional equations" as a mechanism for recognizing changeable and unchangeable factors in his healing.

A Treatise on Differential Equations

Author : Andrew Russell Forsyth
Publisher : BoD – Books on Demand
ISBN 13 : 9925032040
Total Pages : 530 pages
Book Rating : 4.9/5 (25 download)

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Book Synopsis A Treatise on Differential Equations by : Andrew Russell Forsyth

Download or read book A Treatise on Differential Equations written by Andrew Russell Forsyth and published by BoD – Books on Demand. This book was released on 2016-10-31 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1903.

Thinking Algebraically: An Introduction to Abstract Algebra

Author : Thomas Q. Sibley
Publisher : American Mathematical Soc.
ISBN 13 : 1470460300
Total Pages : 478 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Thinking Algebraically: An Introduction to Abstract Algebra by : Thomas Q. Sibley

Download or read book Thinking Algebraically: An Introduction to Abstract Algebra written by Thomas Q. Sibley and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.

Thinking In Numbers

Author : Daniel Tammet
Publisher : Little, Brown Spark
ISBN 13 : 0316250805
Total Pages : 240 pages
Book Rating : 4.3/5 (162 download)

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Book Synopsis Thinking In Numbers by : Daniel Tammet

Download or read book Thinking In Numbers written by Daniel Tammet and published by Little, Brown Spark. This book was released on 2013-07-30 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

This Plus That

Author : Amy Krouse Rosenthal
Publisher : Harper Collins
ISBN 13 : 0061726559
Total Pages : 44 pages
Book Rating : 4.0/5 (617 download)

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Book Synopsis This Plus That by : Amy Krouse Rosenthal

Download or read book This Plus That written by Amy Krouse Rosenthal and published by Harper Collins. This book was released on 2011-04-26 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: What comes after 1 + 1? Just about anything! In this fanciful collection, Amy Krouse Rosenthal puts together unexpected combinations that always add up to something special. Whether it's "wishes + frosting = birthday" or "birds + buds = spring," each equation is a small delight. This Plus That shows again and again that life's total experience is always greater than the sum of its parts.

Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Introduction to Graph Theory

Author : Richard J. Trudeau
Publisher : Courier Corporation
ISBN 13 : 0486318664
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introduction to Graph Theory by : Richard J. Trudeau

Download or read book Introduction to Graph Theory written by Richard J. Trudeau and published by Courier Corporation. This book was released on 2013-04-15 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

All the Mathematics You Missed

Author : Thomas A. Garrity
Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302090854
Total Pages : 380 pages
Book Rating : 4.0/5 (98 download)

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Book Synopsis All the Mathematics You Missed by : Thomas A. Garrity

Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The God Equation

Author : Michio Kaku
Publisher : Anchor
ISBN 13 : 0385542755
Total Pages : 159 pages
Book Rating : 4.3/5 (855 download)

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Book Synopsis The God Equation by : Michio Kaku

Download or read book The God Equation written by Michio Kaku and published by Anchor. This book was released on 2021-04-06 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 NEW YORK TIMES BESTSELLER • The epic story of the greatest quest in all of science—the holy grail of physics that would explain the creation of the universe—from renowned theoretical physicist and author of The Future of the Mind and The Future of Humanity. When Newton discovered the law of gravity, he unified the rules governing the heavens and the Earth. Since then, physicists have been placing new forces into ever-grander theories. But perhaps the ultimate challenge is achieving a monumental synthesis of the two remaining theories—relativity and the quantum theory. This would be the crowning achievement of science, a profound merging of all the forces of nature into one beautiful, magnificent equation to unlock the deepest mysteries in science: What happened before the Big Bang? What lies on the other side of a black hole? Are there other universes and dimensions? Is time travel possible? Why are we here? Kaku also explains the intense controversy swirling around this theory, with Nobel laureates taking opposite sides on this vital question. It is a captivating, gripping story; what’s at stake is nothing less than our conception of the universe. Written with Kaku’s trademark enthusiasm and clarity, this epic and engaging journey is the story of The God Equation.

Developing Thinking in Algebra

Author : John Mason
Publisher : Paul Chapman Educational Publishing
ISBN 13 : 9781412911719
Total Pages : 342 pages
Book Rating : 4.9/5 (117 download)

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Book Synopsis Developing Thinking in Algebra by : John Mason

Download or read book Developing Thinking in Algebra written by John Mason and published by Paul Chapman Educational Publishing. This book was released on 2005-04-23 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Mason, Graham, and Johnston-Wilder have admirably succeeded in casting most of school algebra in terms of generalisation activity? not just the typical numerical and geometric pattern-based work, but also solving quadratics and simultaneous equations, graphing equations, and factoring. The authors raise our awareness of the scope of generalization and of the power of using this as a lens not just for algebra but for all of mathematics!' - Professor Carolyn Kieran, Departement de Mathematiques, Universite du Quebec a Montreal Algebra has always been a watershed for pupils learning mathematics. This book will enable you to think about yourself as a learner of algebra in a new way, and thus to teach algebra more successfully, overcoming difficulties and building upon skills that all learners have. This book is based on teaching principles developed by the team at The Open University's Centre for Mathematics Education which has a 20-year track record of innovative approaches to teaching and learning algebra. Written for teachers working with pupils aged 7-16, it includes numerous tasks ready for adaption for your teaching and discusses principles that teachers have found useful in preparing and conducting lessons. This is a 'must have' resource for all teachers of mathematics, primary or secondary, and their support staff. Anyone who wishes to create an understanding and enthusiasm for algebra, based upon firm research and effective practice, will enjoy this book. This book is the course reader for The Open University Course ME625 Developing Algebraic Thinking

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.