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| how to solve half life problems in math: Precalculus David Lippman, Melonie Rasmussen, 2017-06-26 The first half of the second edition of Precalculus: An Investigation of Functions. This is an open textbook, available free online. This first portion of the book (Chapters 1-4) is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. |
| how to solve half life problems in math: University Physics Samuel J. Ling, Jeff Sanny, William Moebs, 2016-09-29 University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.--Open Textbook Library. |
| how to solve half life problems in math: How to Solve Word Problems in Calculus Eugene Don, Benay Don, 2001-07-21 Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems.Each chapter features an introduction to a problem type, definitions, related theorems, and formulas.Topics range from vital pre-calculus review to traditional calculus first-course content.Sample problems with solutions and a 50-problem chapter are ideal for self-testing.Fully explained examples with step-by-step solutions. |
| how to solve half life problems in math: Functional Equations and How to Solve Them Christopher G. Small, 2007-04-03 Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a particular property. The emphasis here will be on the development of those tools which are most useful in assigning a family of solutions to each functional equation in explicit form. At the end of each chapter, readers will find a list of problems associated with the material in that chapter. The problems vary greatly, with the easiest problems being accessible to any high school student who has read the chapter carefully. The most difficult problems will be a reasonable challenge to advanced students studying for the International Mathematical Olympiad at the high school level or the William Lowell Putnam Competition for university undergraduates. The book ends with an appendix containing topics that provide a springboard for further investigation of the concepts of limits, infinite series and continuity. |
| how to solve half life problems in math: Practical Mathematics in Nuclear Medicine Technology Patricia Wells, 2011 Simplifies the mathematics that technologists and students are likely to encounter in the practice of clinical nuclear medicine technology--Provided by publisher. |
| how to solve half life problems in math: The Half-Life of Facts Samuel Arbesman, 2013-08-27 New insights from the science of science Facts change all the time. Smoking has gone from doctor recommended to deadly. We used to think the Earth was the center of the universe and that the brontosaurus was a real dinosaur. In short, what we know about the world is constantly changing. Samuel Arbesman shows us how knowledge in most fields evolves systematically and predictably, and how this evolution unfolds in a fascinating way that can have a powerful impact on our lives. He takes us through a wide variety of fields, including those that change quickly, over the course of a few years, or over the span of centuries. |
| how to solve half life problems in math: Radioactivity and Nuclear Physics James M. Cork, 2013-03 |
| how to solve half life problems in math: College Algebra OpenStax, 2016-10-11 College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. The text and images in this textbook are grayscale. |
| how to solve half life problems in math: Solving Mathematical Problems Terence Tao, 2006-07-28 Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics. |
| how to solve half life problems in math: Radioactivity Statistics A. S. Goldin, 1960 |
| how to solve half life problems in math: Space Mathematics Bernice Kastner, 2013-10-17 Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories. |
| how to solve half life problems in math: Half-life of Tritium Aaron Novick, 1947 |
| how to solve half life problems in math: How to Solve It G. Polya, 2014-10-26 The bestselling book that has helped millions of readers solve any problem A must-have guide by eminent mathematician G. Polya, How to Solve It shows anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can help you attack any problem that can be reasoned out—from building a bridge to winning a game of anagrams. How to Solve It includes a heuristic dictionary with dozens of entries on how to make problems more manageable—from analogy and induction to the heuristic method of starting with a goal and working backward to something you already know. This disarmingly elementary book explains how to harness curiosity in the classroom, bring the inventive faculties of students into play, and experience the triumph of discovery. But it’s not just for the classroom. Generations of readers from all walks of life have relished Polya’s brilliantly deft instructions on stripping away irrelevancies and going straight to the heart of a problem. |
| how to solve half life problems in math: Life, the Universe and Everything Douglas Adams, 2002 In consequence of a number of stunning catastrophes, Arthur Dent is surprised to find himself living in a hideously miserable cave on prehistoric Earth. However, just as he thinks that things cannot get possibly worse, they suddenly do. He discovers that the Galaxy is not only mind-boggingly big and bewildering but also that most of the things that happen in it are staggeringly unfair. VOLUME THREE IN THE TRILOGY OF FIVE. |
| how to solve half life problems in math: Half Life Lillian Clark, 2020-06-09 An overachiever enrolls in an experimental clone study to prove that two (of her own) heads are better than one in this fast-paced, near-future adventure that's Black Mirror meets Becky Albertalli. There aren't enough hours in the day for Lucille--perfectionist, overachiever--to do everything she has to do, and there certainly aren't enough hours to hang out with friends, fall in love, get in trouble--all the teenage things she knows she should want to be doing instead of preparing for a flawless future. So when she sees an ad for Life2: Do more. Be more, she's intrigued. The company is looking for beta testers to enroll in an experimental clone program, and in the aftermath of a series of disappointments, Lucille is feeling reckless enough to jump in. At first, it's perfect: her clone, Lucy, is exactly what she needed to make her life manageable and have time for a social life. But it doesn't take long for Lucy to become more Lucy and less Lucille, and Lucille is forced to stop looking at Lucy as a reflection and start seeing her as a window--a glimpse at someone else living her own life, but better. Lucy does what she really wants to, not what she thinks she should want to, and Lucille is left wondering how much she was even a part of the perfect life she'd constructed for herself. Lucille wanted Lucy to help her relationships with everyone else, but how can she do that without first rectifying her relationship with herself? Like a PG-13 mash-up of Booksmart and Black Mirror, Clark’s sophomore novel delivers both twisty sci-fi suspense and a highly relatable account of the search for self-determination and self-worth.--Booklist Clark makes this territory fresh, and teens questioning their own self-worth will be drawn to this novel. A novel that is near-future enough to appeal to sci-fi fans as well as general audiences who like to ask, 'What if?'--SLJ |
| how to solve half life problems in math: Differential Equations with Linear Algebra Matthew R. Boelkins, Jack L. Goldberg, Merle C. Potter, 2009-11-05 Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations. Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly. The book offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an example-first style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications. Errata sheet available at: www.oup.com/us/companion.websites/9780195385861/pdf/errata.pdf |
| how to solve half life problems in math: A Handbook of Mathematical Methods and Problem-Solving Tools for Introductory Physics Joshua F Whitney, Heather M Whitney, 2016-11-01 This is a companion textbook for an introductory course in physics. It aims to link the theories and models that students learn in class with practical problem-solving techniques. In other words, it should address the common complaint that 'I understand the concepts but I can't do the homework or tests'. The fundamentals of introductory physics courses are addressed in simple and concise terms, with emphasis on how the fundamental concepts and equations should be used to solve physics problems. |
| how to solve half life problems in math: Fast Reactions Kenneth Kustin, 1969 Chemical relaxation. Electrochemistry. Rapid mexing. Irradiation. |
| how to solve half life problems in math: The Ultimate Challenge Jeffrey C. Lagarias, 2023-04-19 The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000. |
| how to solve half life problems in math: Let's Review Math Deluxe Pasquale De Marco, Embark on an intellectual odyssey with Let's Review Math Deluxe, an all-encompassing guide to the captivating world of mathematics. Within its pages, you will find a comprehensive exploration of numbers, shapes, patterns, and relationships, unveiling the fundamental principles that govern our universe. This comprehensive guidebook delves into the foundational pillars of mathematics, providing a solid understanding of number systems, operations, and their intricate interplay. Discover the power of algebra as you manipulate variables and equations to solve complex problems, and unravel the mysteries of geometry as you explore the properties of shapes and their captivating symmetries. Journey into the realm of data analysis, where you will learn to navigate the vast sea of information, extracting meaningful insights and uncovering hidden patterns. Delve into the complexities of financial mathematics, mastering the skills necessary for budgeting, managing interest, and making informed investment decisions. As you progress, you will encounter the intricacies of calculus, unlocking the secrets of derivatives and integrals and their applications across diverse fields. Venture into the frontiers of advanced mathematics, exploring the enigmatic world of complex numbers, the elegance of linear algebra, and the topological landscapes that shape our universe. Throughout this mathematical odyssey, you will embark on a historical journey, tracing the evolution of mathematics from its ancient origins to its modern marvels. Encounter the brilliant minds who have shaped its development, marveling at their groundbreaking discoveries and the profound impact they have had on society. Let's Review Math Deluxe is not merely a textbook; it is an invitation to embark on an intellectual adventure, fostering a mindset of critical thinking, problem-solving, and innovation. It is a celebration of the beauty and elegance of mathematics, inspiring a sense of awe and wonder at the universe's underlying order. Prepare to be captivated as you delve into the depths of mathematics, transforming it from a mere subject into a lifelong pursuit of knowledge and discovery. If you like this book, write a review! |
| how to solve half life problems in math: Selected Problems in Physical Chemistry Predrag-Peter Ilich, 2010-06-17 The latest authors, like the most ancient, strove to subordinate the phenomena of nature to the laws of mathematics Isaac Newton, 1647–1727 The approach quoted above has been adopted and practiced by many teachers of chemistry. Today, physical chemistry textbooks are written for science and engineering majors who possess an interest in and aptitude for mathematics.No knowledge of chemistry or biology (not to mention poetry) is required. To me this sounds like a well-de?ned prescription for limiting the readership to a few and carefully selected. I think the importance of physical chemistry goes beyond this precept. The s- ject should bene?t both the science and engineering majors and those of us who dare to ask questions about the world around us. Numerical mathematics, or a way of thinking in mathematical formulas and numbers – which we all practice, when paying in cash or doing our tax forms – is important but should not be used to subordinate the in?nitely rich world of physical chemistry. |
| how to solve half life problems in math: Teaching to the Math Common Core State Standards F. D. Rivera, 2015-06-17 This is a methods book for preservice middle level majors and beginning middle school teachers. It takes a very practical approach to learning to teach middle school mathematics in an emerging Age of the Common Core State Standards. The Common Core State Standards in Mathematics (CCSSM) is not meant to be “the” official mathematics curriculum; it was purposefully developed primarily to provide clear learning expectations of mathematics content that are appropriate at every grade level and to help prepare all students to be ready for college and the workplace. A quick glance at the Table of Contents in this book indicates a serious engagement with the recommended mathematics underlying the Grade 5 through Grade 8 and (traditional pathway) Algebra I portions of the CCSSM first, with issues in content-practice assessment, learning, teaching, and classroom management pursued next and in that order. In this book we explore what it means to teach to the CCSSM within an alignment mindset involving content-practice learning, teaching, and assessment. The Common Core state content standards, which pertain to mathematical knowledge, skills, and applications, have been carefully crafted so that they are teachable, learnable, coherent, fewer, clearer, and higher. The practice standards, which refer to institutionally valued mathematical actions, processes, and habits, have been conceptualized in ways that will hopefully encourage all middle school students to engage with the content standards more deeply than merely acquiring mathematical knowledge by rote and imitation. Thus, in the CCSSM, proficiency in content alone is not sufficient, and so does practice without content, which is limited. Content and practice are both equally important and, thus, must come together in teaching, learning, and assessment in order to support authentic mathematical understanding. This blended multisourced text is a “getting smart” book. It prepares preservice middle level majors and beginning middle school teachers to work within the realities of accountable pedagogy and to develop a proactive disposition that is capable of supporting all middle school students in order for them to experience growth in mathematical understanding that is necessary for high school and beyond, including future careers. |
| how to solve half life problems in math: Open Middle Math Robert Kaplinsky, 2023-10-10 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. |
| how to solve half life problems in math: Math for Real Life Jim Libby, 2017-01-26 Where are we ever going to use this? Every high school math student has asked this question. Often teachers themselves aren't sure how to respond. One answer is that higher mathematics learned in high school will be essential to learning yet more at the college level. A more satisfactory answer calls for an awareness of how math is applied in many specific areas. Written primarily for teachers, this book presents hundreds of practical applications for mathematics--from baseball statistics to the theory of relativity--that can be understood by anyone with a knowledge of high school algebra, geometry and trigonometry. |
| how to solve half life problems in math: The 23rd Cycle Sten F. Odenwald, 2001 The 23rd Cycle includes a history of the record of auroral sightings, accounts of blackouts from the nineteenth and twentieth centuries, industries sensitive to solar storms, and radiation and health issues.--Jacket. |
| how to solve half life problems in math: Problem-Solving Strategies Arthur Engel, 2008-01-19 A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a problem of the week, thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market. |
| how to solve half life problems in math: The Girl who Played with Fire Stieg Larsson, 2010 When the reporters to a sex-trafficking exposé are murdered and computer hacker Lisbeth Salander is targeted as the killer, Mikael Blomkvist, the publisher of the exposé, investigates to clear Lisbeth's name. |
| how to solve half life problems in math: Posing and Solving Mathematical Problems Patricio Felmer, Erkki Pehkonen, Jeremy Kilpatrick, 2016-04-29 This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively. |
| how to solve half life problems in math: The Book of Perfectly Perilous Math Sean Connolly, 2017-09-05 Math rocks! At least it does in the gifted hands of Sean Connolly, who blends middle school math with fantasy to create an exciting adventure in problem-solving. These word problems are perilous, do-or-die scenarios of blood-sucking vampires (How many months would it take a single vampire to completely take over a town of 500,000 people?), or a rowboat of 5 shipwrecked sailors with a single barrel of freshwater (How much can they drink, and for how long, before they go mad from thirst???). Each problem requires readers to dig deep into the tools they’re learning in school to figure out how to survive. Kids will love solving these problems. Sean Connolly knows how to make tough subjects exciting and he brings that same intuitive understanding of what inspires and challenges kids’ curiosity to the 24 problems in The Book of Perfectly Perilous Math. These problems are as fun to read as they are challenging to solve. They test readers on fractions, algebra, geometry, probability, expressions and equations, and more. Use geometry to fill in for the ship’s navigator and make it safely to the New World. Escape an evil Duke’s executioner by picking the right door—probability will save your neck. |
| how to solve half life problems in math: How to Solve Word Problems in Algebra, 2nd Edition Mildred Johnson, Timothy Johnson, 1999-08-25 Solving word problems has never been easier than with Schaum's How to Solve Word Problems in Algebra! This popular study guide shows students easy ways to solve what they struggle with most in algebra: word problems. How to Solve Word Problems in Algebra, Second Edition, is ideal for anyone who wants to master these skills. Completely updated, with contemporary language and examples, features solution methods that are easy to learn and remember, plus a self-test. |
| how to solve half life problems in math: Advanced Engineering Mathematics Dennis Zill, Warren S. Wright, Michael R. Cullen, 2011 Accompanying CD-ROM contains ... a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins.--CD-ROM label. |
| how to solve half life problems in math: How Math Can Save Your Life James D. Stein, 2010-03-08 How to make lots of money, keep yourself safe, and even save the world-all by using a little simple math Forget the dull, boring math you learned in school. This book shows you the powerful things math can do for you, with applications no teacher ever taught you in algebra class. How can you make money off credit card companies? Will driving a hybrid save you money in the long run? How do you know when he or she is the one? From financial decisions to your education, job, health, and love life, you'll learn how the math you already know can help you get a lot more out of life. Gives you fun, practical advice for using math to improve virtually every area of daily life Includes straightforward explanations and easy-to-follow examples Written by the author of the successful guide, How Math Explains the World Filled with practical, indispensable guidance you can put to work every day, this book will safeguard your wallet and enrich every aspect of your life. You can count on it! |
| how to solve half life problems in math: Assessing Middle and High School Mathematics & Science Sheryn Spencer-Waterman, 2013-08-16 For middle and high school teachers of mathematics and science, this book is filled with examples of instructional strategies that address students’ readiness levels, interests, and learning preferences. It shows teachers how to formatively assess their students by addressing differentiated learning targets. Included are detailed examples of differentiated formative assessment schedules, plus tips on how to collaborate with others to improve assessment processes. Teachers will learn how to adjust instruction for the whole class, for small groups, and for individuals. They will also uncover step-by-step procedures for creating their own lessons infused with opportunities to formatively assess students who participate in differentiated learning activities. |
| how to solve half life problems in math: Understanding Calculator Math Texas Instruments Incorporated. Learning Center, 1978 |
| how to solve half life problems in math: Water: Molecular Structure And Properties Xiao-feng Pang, 2014-01-03 This book provides a broad and complete introductions to the molecular structure, novel and anomalous properties, nonlinear excitations, soliton motions, magnetization, and biological effects of water. These subjects are described by both experimental results and theoretical analyses. These contents are very interesting and helpful to elucidate and explain the problem of “what is on earth water”. This book contains the research results of the author and plenty of scientists in recent decades.“Water: Molecular Structure and Properties” is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and even ambitious undergraduates in Physics and Biology. It is also suitable for the researchers and engineers in Physics, Biology and water science. |
| how to solve half life problems in math: Solving General Chemistry Problems Robert Nelson Smith, Willis Conway Pierce, 1980-01-01 |
| how to solve half life problems in math: The Equation that Couldn't Be Solved Mario Livio, 2005-09-19 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. |
| how to solve half life problems in math: Word Problems, Grade 8 Spectrum, 2013-12-02 Spectrum(R) Word Problems for grade 8, includes focused practice for essential math skills. --Skills include: --*Real world applications --*Multi-step word problems --*Whole numbers, decimals, and fractions --*Ratio and proportion --*Percents and interest --*Metric and customary measurement --*Graphs, probability, and statistics --*Geometry --*Perimeter, area, and volume --*Algebra --Spectrum(R) Word Problems workbooks supplement classroom work and proficiency test preparation. The workbooks provide examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards, making it a perfect supplement at home or school. |
| how to solve half life problems in math: The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes Bharath Sriraman, Jinfa Cai, Kyeonghwa Lee, Lianghuo Fan, Yoshinori Shimizu, Chap Sam Lim, K. Subramaniam, 2015-08-01 Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives. |
| how to solve half life problems in math: The First Sourcebook on Nordic Research in Mathematics Education Bharath Sriraman, Simon Goodchild, Christer Bergsten, Gudbjorg Palsdottir, Lenni Haapasalo, Bettina Dahl Søndergaard, 2010-09-01 The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries. |
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