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Book SynopsisHandbook and reference guide for students and practitioners of statistical regression-based analyses in R Handbook of Regression Analysis with Applications in R, Second Edition is a comprehensive and up-to-date guide to conducting complex regressions in the R statistical programming language. The authors' thorough treatment of classical regression analysis in the first edition is complemented here by their discussion of more advanced topics including time-to-event survival data and longitudinal and clustered data. The book further pays particular attention to methods that have become prominent in the last few decades as increasingly large data sets have made new techniques and applications possible. These include: Regularization methodsSmoothing methodsTree-based methods In the new edition of the Handbook, the data analyst's toolkit is explored and expanded. Examples are drawn from a wide variety of real-life applications and data sets. All the utilized R code and data are available via an author-maintained website. Of interest to undergraduate and graduate students taking courses in statistics and regression, the Handbook of Regression Analysis will also be invaluable to practicing data scientists and statisticians.Table of ContentsPreface to the Second Edition xv Preface to the First Edition xix Part I The Multiple Linear Regression Model 1 Multiple Linear Regression 3 1.1 Introduction 3 1.2 Concepts and Background Material 4 1.2.1 The Linear Regression Model 4 1.2.2 Estimation Using Least Squares 5 1.2.3 Assumptions 8 1.3 Methodology 9 1.3.1 Interpreting Regression Coefficients 9 1.3.2 Measuring the Strength of the Regression Relationship 10 1.3.3 Hypothesis Tests and Confidence Intervals for β 12 1.3.4 Fitted Values and Predictions 13 1.3.5 Checking Assumptions Using Residual Plots 14 1.4 Example —Estimating Home Prices 15 1.5 Summary 19 2 Model Building 23 2.1 Introduction 23 2.2 Concepts and Background Material 24 2.2.1 Using Hypothesis Tests to Compare Models 24 2.2.2 Collinearity 26 2.3 Methodology 29 2.3.1 Model Selection 29 2.3.2 Example—Estimating Home Prices (continued) 31 2.4 Indicator Variables and Modeling Interactions 38 2.4.1 Example—Electronic Voting and the 2004 Presidential Election 40 2.5 Summary 46 Part II Addressing Violations of Assumptions 3 Diagnostics for Unusual Observations 53 3.1 Introduction 53 3.2 Concepts and Background Material 54 3.3 Methodology 56 3.3.1 Residuals and Outliers 56 3.3.2 Leverage Points 57 3.3.3 Influential Points and Cook’s Distance 58 3.4 Example— Estimating Home Prices (continued) 60 3.5 Summary 63 4 Transformations and Linearizable Models 67 4.1 Introduction 67 4.2 Concepts and Background Material: The Log-Log Model 69 4.3 Concepts and Background Material: Semilog Models 69 4.3.1 Logged Response Variable 70 4.3.2 Logged Predictor Variable 70 4.4 Example— Predicting Movie Grosses After One Week 71 4.5 Summary 77 5 Time Series Data and Autocorrelation 79 5.1 Introduction 79 5.2 Concepts and Background Material 81 5.3 Methodology: Identifying Autocorrelation 83 5.3.1 The Durbin-Watson Statistic 83 5.3.2 The Autocorrelation Function (ACF) 84 5.3.3 Residual Plots and the Runs Test 85 5.4 Methodology: Addressing Autocorrelation 86 5.4.1 Detrending and Deseasonalizing 86 5.4.2 Example— e-Commerce Retail Sales 87 5.4.3 Lagging and Differencing 93 5.4.4 Example— Stock Indexes 94 5.4.5 Generalized Least Squares (GLS): The Cochrane-Orcutt Procedure 99 5.4.6 Example— Time Intervals Between Old Faithful Geyser Eruptions 100 5.5 Summary 104 Part III Categorical Predictors 6 Analysis of Variance 109 6.1 Introduction 109 6.2 Concepts and Background Material 110 6.2.1 One-Way ANOVA 110 6.2.2 Two-Way ANOVA 111 6.3 Methodology 113 6.3.1 Codings for Categorical Predictors 113 6.3.2 Multiple Comparisons 118 6.3.3 Levene’s Test and Weighted Least Squares 120 6.3.4 Membership in Multiple Groups 123 6.4 Example—DVD Sales of Movies 125 6.5 Higher-Way ANOVA 130 6.6 Summary 132 7 Analysis of Covariance 135 7.1 Introduction 135 7.2 Methodology 136 7.2.1 Constant Shift Models 136 7.2.2 Varying Slope Models 137 7.3 Example —International Grosses of Movies 137 7.4 Summary 142 Part IV Non-Gaussian Regression Models 8 Logistic Regression 145 8.1 Introduction 145 8.2 Concepts and Background Material 147 8.2.1 The Logit Response Function 148 8.2.2 Bernoulli and Binomial Random Variables 149 8.2.3 Prospective and Retrospective Designs 149 8.3 Methodology 152 8.3.1 Maximum Likelihood Estimation 152 8.3.2 Inference, Model Comparison, and Model Selection 153 8.3.3 Goodness-of-Fit 155 8.3.4 Measures of Association and Classification Accuracy 157 8.3.5 Diagnostics 159 8.4 Example— Smoking and Mortality 159 8.5 Example— Modeling Bankruptcy 163 8.6 Summary 168 9 Multinomial Regression 173 9.1 Introduction 173 9.2 Concepts and Background Material 174 9.2.1 Nominal Response Variable 174 9.2.2 Ordinal Response Variable 176 9.3 Methodology 178 9.3.1 Estimation 178 9.3.2 Inference, Model Comparisons, and Strength of Fit 178 9.3.3 Lack of Fit and Violations of Assumptions 180 9.4 Example— City Bond Ratings 180 9.5 Summary 184 10 Count Regression 187 10.1 Introduction 187 10.2 Concepts and Background Material 188 10.2.1 The Poisson Random Variable 188 10.2.2 Generalized Linear Models 189 10.3 Methodology 190 10.3.1 Estimation and Inference 190 10.3.2 Offsets 191 10.4 Overdispersion and Negative Binomial Regression 192 10.4.1 Quasi-likelihood 192 10.4.2 Negative Binomial Regression 193 10.5 Example— Unprovoked Shark Attacks in Florida 194 10.6 Other Count Regression Models 201 10.7 Poisson Regression and Weighted Least Squares 203 10.7.1 Example— International Grosses of Movies (continued) 204 10.8 Summary 206 11 Models for Time-to-Event (Survival) Data 209 11.1 Introduction 210 11.2 Concepts and Background Material 211 11.2.1 The Nature of Survival Data 211 11.2.2 Accelerated Failure Time Models 212 11.2.3 The Proportional Hazards Model 214 11.3 Methodology 214 11.3.1 The Kaplan-Meier Estimator and the Log-Rank Test 214 11.3.2 Parametric (Likelihood) Estimation 219 11.3.3 Semiparametric (Partial Likelihood) Estimation 221 11.3.4 The Buckley-James Estimator 223 11.4 Example—The Survival of Broadway Shows (continued) 223 11.5 Left-Truncated/Right-Censored Data and Time-Varying Covariates 230 11.5.1 Left-Truncated/Right-Censored Data 230 11.5.2 Example—The Survival of Broadway Shows (continued) 233 11.5.3 Time-Varying Covariates 233 11.5.4 Example—Female Heads of Government 235 11.6 Summary 238 Part V Other Regression Models 12 Nonlinear Regression 243 12.1 Introduction 243 12.2 Concepts and Background Material 244 12.3 Methodology 246 12.3.1 Nonlinear Least Squares Estimation 246 12.3.2 Inference for Nonlinear Regression Models 247 12.4 Example —Michaelis-Menten Enzyme Kinetics 248 12.5 Summary 252 13 Models for Longitudinal and Nested Data 255 13.1 Introduction 255 13.2 Concepts and Background Material 257 13.2.1 Nested Data and ANOVA 257 13.2.2 Longitudinal Data and Time Series 258 13.2.3 Fixed Effects Versus Random Effects 259 13.3 Methodology 260 13.3.1 The Linear Mixed Effects Model 260 13.3.2 The Generalized Linear Mixed Effects Model 262 13.3.3 Generalized Estimating Equations 262 13.3.4 Nonlinear Mixed Effects Models 263 13.4 Example —Tumor Growth in a Cancer Study 264 13.5 Example —Unprovoked Shark Attacks in the United States 269 13.6 Summary 275 14 Regularization Methods and Sparse Models 277 14.1 Introduction 277 14.2 Concepts and Background Material 278 14.2.1 The Bias–Variance Tradeoff 278 14.2.2 Large Numbers of Predictors and Sparsity 279 14.3 Methodology 280 14.3.1 Forward Stepwise Regression 280 14.3.2 Ridge Regression 281 14.3.3 The Lasso 281 14.3.4 Other Regularization Methods 283 14.3.5 Choosing the Regularization Parameter(s) 284 14.3.6 More Structured Regression Problems 285 14.3.7 Cautions About Regularization Methods 286 14.4 Example— Human Development Index 287 14.5 Summary 289 Part VI Nonparametric and Semiparametric Models 15 Smoothing and Additive Models 295 15.1 Introduction 296 15.2 Concepts and Background Material 296 15.2.1 The Bias–Variance Tradeoff 296 15.2.2 Smoothing and Local Regression 297 15.3 Methodology 298 15.3.1 Local Polynomial Regression 298 15.3.2 Choosing the Bandwidth 298 15.3.3 Smoothing Splines 299 15.3.4 Multiple Predictors, the Curse of Dimensionality, and Additive Models 300 15.4 Example— Prices of German Used Automobiles 301 15.5 Local and Penalized Likelihood Regression 304 15.5.1 Example— The Bechdel Rule and Hollywood Movies 305 15.6 Using Smoothing to Identify Interactions 307 15.6.1 Example— Estimating Home Prices (continued) 308 15.7 Summary 310 16 Tree-Based Models 313 16.1 Introduction 314 16.2 Concepts and Background Material 314 16.2.1 Recursive Partitioning 314 16.2.2 Types of Trees 317 16.3 Methodology 318 16.3.1 CART 318 16.3.2 Conditional Inference Trees 319 16.3.3 Ensemble Methods 320 16.4 Examples 321 16.4.1 Estimating Home Prices (continued) 321 16.4.2 Example—Courtesy in Airplane Travel 322 16.5 Trees for Other Types of Data 327 16.5.1 Trees for Nested and Longitudinal Data 327 16.5.2 Survival Trees 328 16.6 Summary 332 Bibliography 337 Index 343

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Book SynopsisExam Board: AQALevel: AS/A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018AQA ApprovedGive students the confidence to identify connections between topics and apply their reasoning to mathematical problems, so as to develop a deeper understanding of mathematical concepts and their applications, with resources developed with subject specialists and MEI (Mathematics in Education and Industry).- Prepare students for assessment with plenty of practice questions, worked examples and skill-focused exercises. - Help build connections between topics with points of interest and things to notice such as links to real world examples and noticing patterns in the mathematics.- Enhance understanding of problem-solving, proof and modelling with dedicated sections on these key areas.- Address the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets

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Book SynopsisAchieve the best grades in 2025 or 2026 with this unbeatable course book from CGP!This comprehensive CGP Student Book is perfect for anyone in the second year of OCR A-Level Maths - it has all the Pure Maths, Statistics and Mechanics content required for the course. All the theory is clearly explained with straightforward study notes, step-by-step examples and helpful tips, plus there are plenty of essential practice questions for every topic (with fully worked answers at the back). The problem solving and modelling requirements are covered too! To top things off, this book come with a free Online Edition (accessed using the unique code printed inside the front cover) that lets you read the entire book on a PC, Mac or tablet. For complete A-Level coverage, a Year 1 OCR Maths Student Book (9781782947226) is also available from CGP.

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Book SynopsisAchieve the best grades in 2025 and 2026 with this all-in-one book from CGP - including study notes, examples and practice questions!This superb all-in-one Complete Revision & Practice Guide has everything students need to tackle the A-Level Maths exams. It covers every topic for the Edexcel course, with crystal-clear revision notes and worked examples to help explain any concepts that might trip students up. It includes brand new 'Spot the Mistakes' pages, allowing students to find mistakes in mock answers, as well as sections on Modelling, Problem-Solving and Calculator-Use.We've also included exam-style practice questions to test students' understanding, with step-by-step video solutions for some of the trickier exam questions.For even more realistic exam practice, make sure to check out our matching Edexcel Exam Practice Workbook (9781782947400).Redeem the code inside the book for a free Online Edition to read on your PC, Mac or tablet. When the boo

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Book SynopsisMöbius bagels, Euclid's flourless chocolate cake and apple pi - this is maths, but not as you know it. In How to Bake Pi, mathematical crusader and star baker Eugenia Cheng has rustled up a batch of delicious culinary insights into everything from simple numeracy to category theory ('the mathematics of mathematics'), via Fermat, Poincaré and Riemann. Maths is much more than simultaneous equations and pr2 : it is an incredibly powerful tool for thinking about the world around us. And once you learn how to think mathematically, you'll never think about anything - cakes, custard, bagels or doughnuts; not to mention fruit crumble, kitchen clutter and Yorkshire puddings - the same way again. Stuffed with moreish puzzles and topped with a generous dusting of wit and charm, How to Bake Pi is a foolproof recipe for a mathematical feast. *Previously published under the title Cakes, Custard & Category Theory*Trade ReviewIt would be wonderful if this book attracted a new audience to the field. And there's no better ambassador (or dinner-party host, I'd wager) than Eugenia Cheng. -- Alex Bellos * New York Times *Quirky recipes, personal anecdotes and a large dollop of equations are the key ingredients in this alternative guide to maths and the scientific process. You should find it as easy as cooking a pie. * Observer *A brilliant gourmet feast of what maths is really about -- Ian Stewart, author of * Professor Stewart’s Incredible Numbers *A concert pianist, mathematician, polyglot and now YouTube star, Cheng has carved out quite a niche for herself demystifying maths through cake. It's a Beautiful-Mind-meets-Scott-Pilgrim kind of mission, and Cheng brings to it an ebullient enthusiasm that's infectious * Guardian *An entertaining introduction to the beauty of mathematics by drawing on insights from the kitchen * Times Educational Supplement *Cheng's own personality really shines through. By conversing with her audience as equals, readers will likely connect with her, which in turn brings down the barriers to the subject...For readers who have even a pinch of native interest, she has masterfully lowered the mental barriers to new vistas. The book makes almost no mathematical demands of the reader, and yet explains ideas around maths, throughout. It is so seamless and so painless, it is quite brilliant * Bookmunch *Deliciously lively...It is Cheng's delightful descriptions of her gastronomic adventures that bring the mathematics to life * Times Higher Education *

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Book SynopsisBestselling author and worst-drawing artist Ben Orlin expands his oeuvre with this interactive collection of mathematical games. With 70-plus games, each taking a minute to learn and a lifetime to master, this treasure trove will delight, educate, and entertain.From beloved math popularizer Ben Orlin comes a masterfully compiled collection of dozens of playable mathematical games. This ultimate game chest draws on mathematical curios, childhood classics, and soon-to-be classics, each hand-chosen to be (1) fun, (2) thought-provoking, and (3) easy to play. With just paper, pens, and the occasional handful of coins, you and a partner can enjoy hours of fun-and hours of challenge.Orlin''s sly humor, expansive knowledge, and so-bad-they''re-good drawings show us how simple rules summon our best thinking.Games include:* Ultimate Tic-Tac-Toe* Sprouts* Battleship* Quantum Go Fish* Dots and Boxes* Black Hole* Order and Chaos* Sequencium* Paper Boxing* Prophecies* Arpeggios* Banker* Francoprussian Labyrinth* Cats and Dogs* And many more.

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Book Synopsis"This is an exquisitely interesting book. It's a deeply serious one too and, for those like me who have little maths, it's delightfully readable" - IAN MCEWAN"Kit Yates is a natural storyteller. Through fascinating stories and examples, he shows how maths is the beating heart of so much of modern life. An exciting new voice in the world of science communication" - MARCUS DU SAUTOY"Used wisely, mathematics can save your life. Used unwisely, it can ruin it. A lucid and enthralling account of why maths matters in everyone's life. A real eye-opener." - Prof Ian Stewart FRS, author of Do Dice Play God?__________Maths is the story of the world around us, and the wisdom it gives us can be the difference between success and disaster.We are all doing maths all the time, from the way we communicate with each other to the way we travel, from how we work to how we relax. Many of us are aware of this. But few of us really appreciate the full power of maths - the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward.In this eye-opening and extraordinary book, Yates explores the true stories of life-changing events in which the application - or misapplication - of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice and the unwitting victims of software glitches. We follow stories of investors who have lost fortunes and parents who have lost children, all because of mathematical misunderstandings.Along the way, Yates arms us with simple mathematical rules and tools that can help us make better decisions in our increasingly quantitative society. You will discover why it's always sensible to question a statistic, often vital to ask for a second opinion and sometimes surprisingly handy to stick to the 37% rule...Trade ReviewKit Yates shows how our private and social lives are suffused by mathematics. Ignorance may bring tragedy or farce. This is an exquisitely interesting book. It's a deeply serious one too and, for those like me who have little maths, it's delightfully readable * Ian McEwan *Kit Yates is a natural storyteller. Through fascinating stories and examples, he shows how maths is the beating heart of so much of modern life. An exciting new voice in the world of science communication * Marcus du Sautoy, author of The Creativity Code *An extremely thoughtful, articulate and accessible insight into mathematics in the real world * Alex Bellos *Used wisely, mathematics can save your life. Used unwisely, it can ruin it. A lucid and enthralling account of why maths matters in everyone's life. A real eye-opener * Prof Ian Stewart FRS, author of Do Dice Play God? *Kit Yates is a brilliant explainer and storyteller * Steven Strogatz *Engaging and lucid * London Mathematical Society Journal *This crisp, clear and compelling book is about the liminal spaces between expertise in mathematics and hardline decision-making, taking you on a powerful journey about truth and belief and what maths actually is, out in the wild * The Times Educational Supplement *If you think a deep love of maths would be within your grasp were you only presented with enough real life examples to reveal the wonder of its operations, this is the book for you * Strong Words Magazine *A fascinating glimpse of mathematical epidemiology. A dizzying, dazzling debut * Nature Magazine *An engaging, enjoyable look at how phenomena spread and go viral, examining everything from the ice-bucket challenge, pyramid schemes and the way that milk turns sour * Irish Examiner *At times witty, at times charming, at times sombre, but always personable * Aperiodical *An accessible and important introduction to understanding the use and abuse of statistics * Laura Tisdall *You'll almost forget you're learning as you fall into Kit's world, but when you close the book, you'll look at every fact and figure with new scrutiny * BBC Science Focus *An endlessly fascinating book * Half Man, Half Book *A splendid guide to the mathematical ideas all around us * Tim Harford, bestselling author of 'How to Make the World Add Up' *A thoughtful, important and accessible book on the vital role mathematics plays in our everyday lives * Jim Al-Khalili *This is an interesting, useful and important book on some serious topics involving mathematics... There are quotable morsels of wisdom in every chapter * The Mathematical Gazette *Yates's entertaining, thought-provoking, and extremely well-written book sits among the best math books I've read * Maths Horizons *

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Book SynopsisThis book provides your child with a whole year of ready to go activitiesand support on key Mathematics topics which will be beingtaught in school from 2014. *Workbooks for home learning or classroompractice *Linked website with additional activities, answersand support for parents. *Developed by teachers.

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Book SynopsisCollins International Primary Maths supports best practice in primary maths teaching, whilst encouraging teacher professionalism and autonomy. A wealth of supporting digital assets are provided for every lesson, including slideshows, tools and games to ensure they are rich, lively and engaging.Each Workbook page has three levels of challenge which allow learners to practise and consolidate their newly acquired knowledge, skills and understanding of the mathematics they are learning. Questions throughout the course develops learners' Thinking and Working Mathematically skills, and each lesson offers an opportunity for personal reflection on progress. The series also supports Cambridge Global Perspectives with activities that develop and practise key skills.Provides learner support as part of a set of resources for the Cambridge Primary curriculum framework (0096) from 2020.This series is endorsed by Cambridge Assessment International Education to support the new curriculum framework 0096 from 2020.

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Book SynopsisA dopamine hit on every page' Marcus du SautoyA sweeping intellectual history of games and their importance to human progress. We play games to learn about the world, to understand our minds and the minds of others, and to practice making predictions about the future. Games are thought to be older than written language, and have now become the dominant cultural mediabigger than movies, TV, music, and literature combined. They are also fun. But as neuroscientist and physicist Kelly Clancy argues, it's time we started taking them more seriously. In Playing With Reality, she chronicles the riveting and hidden history of games since the Enlightenment, weaving an unexpected path through military theory, biology, artificial intelligence, neuroscience, cognitive psychology, and the future of democracy. Games, Clancy shows us, have been deeply intertwined with the arc of history. War games shaped the outcomes of real wars in nineteenth and twentieth century Europe. Game theory warped our understanding of human behaviour and brought us to the brink of annihilationyet still underlies basic assumptions in economics, politics, and technology. We used games to teach computers how to learn for themselves, and now we are designing games that will determine the shape of society and future of democracy. Games also inform the basic systems that govern our daily lives: the social media and technology that can warp our preferences, polarise us, and manufacture our desires. Lucid, thought-provoking, and masterfully told, Playing With Reality makes the bold argument that the human fascination with games is the key to understanding our nature.

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Book SynopsisRobin Wilson is Emeritus Professor of Pure Mathematics at the Open University, and Emeritus Professor of Geometry at Gresham College, London. He is also a former Fellow in Mathematics at Keble College, Oxford University, and now teaches at Pembroke College. He has written and edited almost 40 books on graph theory, combinatorics, the history of mathematics, and music, and is very involved with the communication and popularisation of mathematics.Table of ContentsIntroduction Definitions and examples Paths and cycles Trees Planarity Colouring graphs Matching, marriage and Menger's theorem Matroids Appendix 1: Algorithms Appendix 2: Table of numbers List of symbols Bibliography Solutions to selected exercises Index

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Book SynopsisAchieve the best grades in 2025 or 2026 with this unbeatable course book from CGP!This in-depth CGP Student Book for AS-Level (and Year 1 of the full A-Level) Maths covers all the Pure Maths, Statistics and Mechanics content needed to tackle the first year of the AQA Maths course. It's packed with no-nonsense theory and plenty of step-by-step examples - plus helpful tips to make the trickier bits easier to handle. We've also included a wide range of practice questions with fully worked answers. And to cover everything the examiners could ask for, there are modelling and problem solving questions and examples throughout the book. If that wasn't enough, this book also comes with a free Online Edition (accessed using the unique code printed inside the front cover) that lets you read the entire book on a PC, Mac or tablet.

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Book SynopsisThought you had it bad? In this book, you will be:Imprisoned by a sadistic logician.Challenged to raise dogs from the dead. Trapped on a burning island.And much more besides . . .Everything is at stake in this compendium of more than 150 ingenious puzzles, selected to reveal the wonderful diversity of brainteasers that have confounded and intrigued solvers for the last thousand years. You'll need to pit your wits against probability problems, wrestle with wordplay, grapple with geometry and scrabble for survival. Along the way you will discover stories of whip-smart thinkers, eccentric novelists and a poodle with allegedly supernatural powers. You will absorb fascinating and important mathematical ideas. Some solutions will rely on ingenuity, some will challenge you to spot hidden patterns, others call for extreme rationality. All will surprise, entertain and stretch your brain. Will you make it out with your puzzling pride intact?

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Book SynopsisThe new edition of Pearson Edexcel GCSE (9-1) Mathematics Higher Student Book 1 develops reasoning, fluency and problem-solving to boost students’ confidence and give them the best preparation for GCSE study.

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Book SynopsisTable of ContentsForeword ix Preface xi Acknowledgments xiii Chapter 1 Introduction to Driving Change through Insight 1 Chapter 2 Why Tell Stories with Data? 21 Chapter 3 The Psychology of Data Storytelling 47 Chapter 4 The Anatomy of a Data Story 81 Chapter 5 Data: The Foundation of Your Data Story 121 Chapter 6 Narrative: The Structure of Your Data Story 157 Chapter 7 Visuals (Part 1): Setting the Scenes of Your Data Story 195 Chapter 8 Visuals (Part 2): Polishing the Scenes of Your Data Story 229 Chapter 9 Crafting Your Own Data Story 265 About the Author 305 About the Website 307 Index 309

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Book SynopsisJohn Mason is a Professor Emeritus at the Open University and a Senior Research Fellow at the University of Oxford. Kaye Stacey is a Foundation Professor of Mathematics Education at the Melbourne Graduate School of Education, University of MelbourneTrade Review‘Every student doing a mathematics degree should read this book.’James Blowey, Durham University ‘The ideas I encountered in Thinking Mathematically continue to influence the way in which I work today.’David J Wraith, National University of Ireland, Maynooth ‘[This book] transformed my attitude to mathematics from apathy to delight’Nichola Clarke, Oxford University 'Thinking Mathematically has always been one of my favorite books. Expanded and updated, this version is a must for my bookshelf and should be for yours too.'Alan Schoenfeld, University ofCalifornia, BerkeleyTable of Contents1. Everyone can start 2. Phases of work 3. Responses to being STUCK 4. ATTACK: conjecturing 5. ATTACK: justifying and convincing 6. Still STUCK? 7. Developing an internal monitor 8. On becoming your own questioner 9. Developing mathematical thinking 10. Something to think about 11. Thinking mathematically in curriculum topics Bibliography &nb

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Book SynopsisCollins International Primary Maths supports best practice in primary maths teaching, whilst encouraging teacher professionalism and autonomy. A wealth of supporting digital assets are provided for every lesson, including slideshows, tools and games to ensure they are rich, lively and engaging.Each lesson is based on a big idea', providing an engaging, exciting theme which is anchored in a real-life international context. Activities, exercises and investigations provide opportunities for learners to apply their knowledge, skills and understanding of the mathematics they are learning. The course develops learners' Thinking and Working Mathematically skills and offers opportunities for group and individual learning. The series also supports Cambridge Global Perspectives with activities that develop and practise key skills.Provides learner support as part of a set of resources for the Cambridge Primary curriculum framework (0096) from 2020.This series is endorsed by Cambridge Assessment I

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Book SynopsisThis is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of turbulence found in undergraduate texts, and the more rigorous monographs on the subject. Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory postgraduate course on turbulence, while chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or act as a reference source for professional researchers.This second edition covers a decade of advancement in the field, streamlining the original content while updating the sections where the subject has moved on. The expanded content includes large-scale dynamics, stratified & rotating turbulence, the increased power of direct numerical simulation, two-dimensional turbulence, Magnetohydrodynamics, and turbulence in the core of the EarthTable of ContentsTHE CLASSICAL PICTURE OF TURBULENCE; FREELY-DECAYING, HOMOGENEOUS TURBULENCE; SPECIAL TOPICS

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Book SynopsisTable of ContentsPreface xi 1 Uses and Abuses of Medical Statistics 1 1.1 Introduction 2 1.2 Why Use Statistics? 2 1.3 Statistics is About Common Sense and Good Design 3 1.4 How a Statistician Can Help 5 2 Displaying and Summarising Data 9 2.1 Types of Data 10 2.2 Summarising Categorical Data 13 2.3 Displaying Categorical Data 15 2.4 Summarising Continuous Data 17 2.5 Displaying Continuous Data 24 2.6 Within-Subject Variability 28 2.7 Presentation 30 2.8 Points When Reading the Literature 31 2.9 Technical Details 32 2.10 Exercises 33 3 Summary Measures for Binary Data 37 3.1 Summarising Binary and Categorical Data 38 3.2 Points When Reading the Literature 46 3.3 Exercises 46 4 Probability and Distributions 49 4.1 Types of Probability 50 4.2 The Binomial Distribution 54 4.3 The Poisson Distribution 55 4.4 Probability for Continuous Outcomes 57 4.5 The Normal Distribution 58 4.6 Reference Ranges 63 4.7 Other Distributions 64 4.8 Points When Reading the Literature 66 4.9 Technical Section 66 4.10 Exercises 67 5 Populations, Samples, Standard Errors and Confidence Intervals 71 5.1 Populations 72 5.2 Samples 73 5.3 The Standard Error 74 5.4 The Central Limit Theorem 75 5.5 Standard Errors for Proportions and Rates 77 5.6 Standard Error of Differences 79 5.7 Confidence Intervals for an Estimate 80 5.8 Confidence Intervals for Differences 83 5.9 Points When Reading the Literature 84 5.10 Technical Details 85 5.11 Exercises 86 6 Hypothesis Testing, P-values and Statistical Inference 91 6.1 Introduction 92 6.2 The Null Hypothesis 92 6.3 The Main Steps in Hypothesis Testing 94 6.4 Using Your P-value to Make a Decision About Whether to Reject, or Not Reject, Your Null Hypothesis 96 6.5 Statistical Power 99 6.6 One-sided and Two-sided Tests 101 6.7 Confidence Intervals (CIs) 101 6.8 Large Sample Tests for Two Independent Means or Proportions 104 6.9 Issues with P-values 107 6.10 Points When Reading the Literature 108 6.11 Exercises 108 7 Comparing Two or More Groups with Continuous Data 111 7.1 Introduction 112 7.2 Comparison of Two Groups of Paired Observations – Continuous Outcomes 113 7.3 Comparison of Two Independent Groups – Continuous Outcomes 119 7.4 Comparing More than Two Groups 127 7.5 Non-Normal Distributions 130 7.6 Degrees of Freedom 131 7.7 Points When Reading the Literature 132 7.8 Technical Details 132 7.9 Exercises 140 8 Comparing Groups of Binary and Categorical Data 145 8.1 Introduction 146 8.2 Comparison of Two Independent Groups – Binary Outcomes 146 8.3 Comparing Risks 151 8.4 Comparison of Two Groups of Paired Observations – Categorical Outcomes 152 8.5 Degrees of Freedom 153 8.6 Points When Reading the Literature 154 8.7 Technical Details 154 8.8 Exercises 160 9 Correlation and Linear Regression 163 9.1 Introduction 164 9.2 Correlation 165 9.3 Linear Regression 171 9.4 Comparison of Assumptions Between Correlation and Regression 178 9.5 Multiple Regression 179 9.6 Correlation is not Causation 181 9.7 Points When Reading the Literature 182 9.8 Technical Details 182 9.9 Exercises 190 10 Logistic Regression 193 10.1 Introduction 194 10.2 Binary Outcome Variable 194 10.3 The Multiple Logistic Regression Equation 196 10.4 Conditional Logistic Regression 200 10.5 Reporting the Results of a Logistic Regression 201 10.6 Additional Points When Reading the Literature When Logistic Regression Has Been Used 202 10.7 Technical Details 202 10.8 The Wald Test 204 10.9 Evaluating the Model and its Fit: The Hosmer–Lemeshow Test 204 10.10 Assessing Predictive Efficiency (1): 2 × 2 Classification Table 205 10.11 Assessing Predictive Efficiency (2): The ROC Curve 206 10.12 Investigating Linearity 206 10.13 Exercises 207 11 Survival Analysis 211 11.1 Time to Event Data 212 11.2 Kaplan–Meier Survival Curve 214 11.3 The Logrank Test 217 11.4 The Hazard Ratio 221 11.5 Modelling Time to Event Data 223 11.6 Points When Reading Literature 226 11.7 Exercises 229 12 Reliability and Method Comparison Studies 233 12.1 Introduction 234 12.2 Repeatability 234 12.3 Agreement 237 12.4 Validity 239 12.5 Method Comparison Studies 240 12.6 Points When Reading the Literature 243 12.7 Technical Details 243 12.8 Exercises 245 13 Evaluation of Diagnostic Tests 249 13.1 Introduction 250 13.2 Diagnostic Tests 250 13.3 Prevalence, Overall Accuracy, Sensitivity, and Specificity 251 13.4 Positive and Negative Predictive Values 252 13.5 The Effect of Prevalence 253 13.6 Confidence Intervals 254 13.7 Functions of a Screening and Diagnostic Test 255 13.8 Likelihood Ratio, Pre-test Odds and Post-test Odds 256 13.9 Receiver Operating Characteristic (ROC) Curve 257 13.10 Points When Reading the Literature About a Diagnostic Test 261 13.11 Exercises 262 14 Observational Studies 265 14.1 Introduction 266 14.2 Risk and Rates 266 14.3 Taking a Random Sample 272 14.4 Questionnaire and Form Design 273 14.5 Cross-sectional Surveys 274 14.6 Non-randomised Studies 275 14.7 Cohort Studies 278 14.8 Case–Control Studies 282 14.9 Association and Causality 287 14.10 Modern Causality Methods and Big Data 287 14.11 Points When Reading the Literature 288 14.12 Technical Details 288 14.13 Exercises 290 15 The Randomised Controlled Trial 293 15.1 Introduction 294 15.2 The Protocol 294 15.3 Why Randomise? 295 15.4 Methods of Randomisation 296 15.5 Design Features 298 15.6 Design Options 303 15.7 Meta-analysis 309 15.8 Checklists for Design, Analysis and Reporting 309 15.9 Consort 311 15.10 Points When Reading the Literature About a Trial 311 15.11 Exercises 311 16 Sample Size Issues 313 16.1 Introduction 314 16.2 Study Size 315 16.3 Continuous Data 318 16.4 Binary Data 319 16.5 Prevalence 321 16.6 Subject Withdrawals 322 16.7 Other Aspects of Sample Size Calculations 323 16.8 Points When Reading the Literature 325 16.9 Technical Details 325 16.10 Exercises 327 17 Other Statistical Methods 331 17.1 Analysing Serial or Longitudinal Data 332 17.2 Poisson Regression 341 17.3 Missing Data 343 17.4 Bootstrap Methods 350 17.5 Points When Reading the Literature 353 17.6 Exercises 353 18 Meta-analysis 355 18.1 Introduction 356 18.2 What is a Meta-analysis? 356 18.3 Meta-analysis Methods 358 18.4 Example: Mobile Phone Based Intervention for Smoking Cessation 359 18.5 Discussion 363 18.6 Technical Details 363 18.7 Exercises 365 19 Common Mistakes and Pitfalls 369 19.1 Introduction 370 19.2 Misleading Graphs and Tables 370 19.3 Plotting Change Against Initial Value 376 19.4 Within Group Versus Between Group Analyses 380 19.5 Analysing Paired Data Ignoring the Matching 381 19.6 Unit of Analysis 382 19.7 Testing for Baseline Imbalances in an RCT 382 19.8 Repeated Measures 383 19.9 Clinical and Statistical Significance 387 19.10 Post Hoc Power Calculations 387 19.11 Predicting or Extrapolating Beyond the Observed Range of Data 388 19.12 Exploratory Data Analysis 390 19.13 Misuse of P-values 391 19.14 Points When Reading the Literature 391 Appendix: Statistical Tables 393 Solutions to Multiple-Choice Exercises 403 References 413 Index 423

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Book SynopsisThis comprehensive and popular textbook makes fractal geometry accessible to final-year undergraduate math or physics majors, while also serving as a reference for research mathematicians or scientists. This up-to-date edition covers introductory multifractal theory, random fractals, and modern applications in finance and science.Trade Review“Falconer’s book is excellent in many respects and the reviewer strongly recommends it. May every university library own a copy, or three! And if you’re a student reading this, go check it out today!.” (Mathematical Association of America, 11 June 2014)Table of ContentsPreface to the first edition ix Preface to the second edition xiii Preface to the third edition xv Course suggestions xvii Introduction xix PART I FOUNDATIONS 1 1 Mathematical background 3 1.1 Basic set theory 3 1.2 Functions and limits 7 1.3 Measures and mass distributions 11 1.4 Notes on probability theory 17 1.5 Notes and references 24 Exercises 24 2 Box-counting dimension 27 2.1 Box-counting dimensions 27 2.2 Properties and problems of box-counting dimension 34 *2.3 Modified box-counting dimensions 38 2.4 Some other definitions of dimension 40 2.5 Notes and references 41 Exercises 42 3 Hausdorff and packing measures and dimensions 44 3.1 Hausdorff measure 44 3.2 Hausdorff dimension 47 3.3 Calculation of Hausdorff dimension – simple examples 51 3.4 Equivalent definitions of Hausdorff dimension 53 *3.5 Packing measure and dimensions 54 *3.6 Finer definitions of dimension 57 *3.7 Dimension prints 58 *3.8 Porosity 60 3.9 Notes and references 63 Exercises 64 4 Techniques for calculating dimensions 66 4.1 Basic methods 66 4.2 Subsets of finite measure 75 4.3 Potential theoretic methods 77 *4.4 Fourier transform methods 80 4.5 Notes and references 81 Exercises 81 5 Local structure of fractals 83 5.1 Densities 84 5.2 Structure of 1-sets 87 5.3 Tangents to s-sets 92 5.4 Notes and references 96 Exercises 96 6 Projections of fractals 98 6.1 Projections of arbitrary sets 98 6.2 Projections of s-sets of integral dimension 101 6.3 Projections of arbitrary sets of integral dimension 103 6.4 Notes and references 105 Exercises 106 7 Products of fractals 108 7.1 Product formulae 108 7.2 Notes and references 116 Exercises 116 8 Intersections of fractals 118 8.1 Intersection formulae for fractals 119 *8.2 Sets with large intersection 122 8.3 Notes and references 128 Exercises 128 PART II APPLICATIONS AND EXAMPLES 131 9 Iterated function systems – self-similar and self-affine sets 133 9.1 Iterated function systems 133 9.2 Dimensions of self-similar sets 139 CONTENTS vii 9.3 Some variations 143 9.4 Self-affine sets 149 9.5 Applications to encoding images 155 *9.6 Zeta functions and complex dimensions 158 9.7 Notes and references 167 Exercises 167 10 Examples from number theory 169 10.1 Distribution of digits of numbers 169 10.2 Continued fractions 171 10.3 Diophantine approximation 172 10.4 Notes and references 176 Exercises 176 11 Graphs of functions 178 11.1 Dimensions of graphs 178 *11.2 Autocorrelation of fractal functions 188 11.3 Notes and references 192 Exercises 192 12 Examples from pure mathematics 195 12.1 Duality and the Kakeya problem 195 12.2 Vitushkin’s conjecture 198 12.3 Convex functions 200 12.4 Fractal groups and rings 201 12.5 Notes and references 204 Exercises 204 13 Dynamical systems 206 13.1 Repellers and iterated function systems 208 13.2 The logistic map 209 13.3 Stretching and folding transformations 213 13.4 The solenoid 217 13.5 Continuous dynamical systems 220 *13.6 Small divisor theory 225 *13.7 Lyapunov exponents and entropies 228 13.8 Notes and references 231 Exercises 232 14 Iteration of complex functions – Julia sets and the Mandelbrot set 235 14.1 General theory of Julia sets 235 14.2 Quadratic functions – the Mandelbrot set 243 14.3 Julia sets of quadratic functions 248 14.4 Characterisation of quasi-circles by dimension 256 14.5 Newton’s method for solving polynomial equations 258 14.6 Notes and references 262 Exercises 262 15 Random fractals 265 15.1 A random Cantor set 266 15.2 Fractal percolation 272 15.3 Notes and references 277 Exercises 277 16 Brownian motion and Brownian surfaces 279 16.1 Brownian motion in ℝ 279 16.2 Brownian motion in ℝn 285 16.3 Fractional Brownian motion 289 16.4 Fractional Brownian surfaces 294 16.5 Lévy stable processes 296 16.6 Notes and references 299 Exercises 299 17 Multifractal measures 301 17.1 Coarse multifractal analysis 302 17.2 Fine multifractal analysis 307 17.3 Self-similar multifractals 310 17.4 Notes and references 320 Exercises 320 18 Physical applications 323 18.1 Fractal fingering 325 18.2 Singularities of electrostatic and gravitational potentials 330 18.3 Fluid dynamics and turbulence 332 18.4 Fractal antennas 334 18.5 Fractals in finance 336 18.6 Notes and references 340 Exercises 341 References 342 Index 357

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Book SynopsisIf you struggle with binary multiplication, or Big O Notation, this is the book for you. This textbook companion will help improve your essential maths skills for computer science, whichever awarding body specification you''re following. You can use it throughout your course, whenever you feel you need some extra help.- Develop your understanding of both maths and computer science with all worked examples and questions within a computer science context- Improve your confidence with a step-by-step approach to every maths skill- Measure your progress with guided and non-guided questions to see how you''re improving- Understand where you''re going wrong with full worked solutions to every question - Feel confident in expert guidance from experienced teachers and examiners Victoria Ellis and Gavin Craddock, reviewed by Dr Kathleen Maitland, Senior Lecturer in Computing and Director of the SAS Student Academy at Birmingham City UniversityTrade ReviewA great book to help deliver the maths elements of the new Computing Science specifications - it works well alongside the other resources from Hodder. -- Mrs Elizabeth McCueUnlike many textbooks which just gives the answers to exercises at the back of the book, the guided questions takes students through the logic (thought process) of finding the answer or solution to a problem: it is like having the tutor standing beside you explaining each concept. -- Dr Kathleen Maitland, Senior Lecturer in Computing * Ceri Jenkins *

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Book SynopsisThe complete textbook for the SQA Higher Maths course, updated in accordance with latest syllabus guidelines.- Arranged by topic, but with complete flexibility to teach in preferred order - Unique 'hinge-point' questions to test readiness to progress further in each topic - or go back and revise - Written by three outstanding and experienced teachers, examiners and authors

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Book SynopsisThe emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).Trade ReviewFrom the reviews:“The authors consider the problem of constructing closed-form and approximate solutions to nonlinear partial differential equations with the help of computer algebra systems. … The book will be useful for readers who want to try modern methods for solving nonlinear partial differential equations on concrete examples without bothering too much about the mathematics behind the methods. Thus it is mainly of interest for applied scientists. Mathematicians may use it in connection with more theoretical works; some references are given throughout the book.” (Werner M. Seiler, Zentralblatt MATH, Vol. 1233, 2012)Table of Contents1 Introduction 1.1 Basic Concepts 2 Algebraic Approach 2.1 Point Transformations 2.2 Contact Transformations 2.3 Transformations Relating Differential Equations 2.4 Linearizing and Bilinearizing Transformations 2.5 Reductions of Nonlinear PDEs 2.6 Separation of Variables 2.7 Transformation Groups 2.8 Nonlinear Systems 3 Geometric-Qualitative Approach 3.1 Method of Characteristics 3.2 Generalized Method of Characteristics 3.3 Qualitative Analysis 4 General Analytical Approach. Integrability 4.1 Painlevé Test and Integrability 4.2 Complete Integrability. Evolution Equations 4.3 Nonlinear Systems. Integrability Conditions 5 Approximate Analytical Approach 5.1 Adomian Decomposition Method 5.2 Asymptotic Expansions. Perturbation Methods 6 Numerical Approach 6.1 Embedded Numerical Methods 6.2 Finite DifferenceMethods 7 Analytical-Numerical Approach 7.1 Method of Lines 7.2 Spectral Collocation Method; A Brief Description of Maple A.1 Introduction A.2 Basic Concepts A.3 Maple Language B Brief Description of Mathematica B.1 Introduction B.2 Basic Concepts B.3 Mathematica Language; References, Index

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Book Synopsis

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Book Synopsis

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Book SynopsisHugh Barker is a non-fiction author and editor; as the latter he has edited several successful popular maths books, including A Slice of Pi. Hugh is a keen amateur mathematician and was accepted to study maths at Cambridge University aged 16.

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Book Synopsis

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Book SynopsisThis text is meant to be a hands-on lab manual that can be used in class every day to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.Employs Mathematica to calculate and explore concepts and theories of calculusUses engaging labs to inspire learningIncludes many applications to a variety of fields that can promote research projectsUser-friendly approach that can be used for classroom work or independent exploratory leaTable of ContentsLimits and Continuity. Derivatives and Their Applications. Areas, Integrals, and Accumulation. Applications of Antiderivatives. Mathematica Demonstrations and References.

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Book SynopsisDon't let your students miss out on easy marks, prepare them for those Maths questions with this essential guide.Written specifically to build students' confidence in maths and to prepare them for the more challenging mathematical requirements which make up 15% of the new DT specifications.- Improve confidence with structured progression of worked examples, guided and non-guided questions, and worked solutions for every question- Strengthen students' maths skills and subject understanding with worked examples andpractice questions all embedded in the subject context- Develop exam confidence with exam-style maths questions- An essential tool throughout the AS and A Level course with every maths skill mapped tosubject topics, and applicable to every major exam board- Reviewed by subject and maths expert Glyn Granger (former D&T chief examiner)

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Book SynopsisThis resource has been developed to fully cover unit AS 2: Applied Mathematics of the CCEA specification, addressing both mechanics and statistics.For each topic, the book begins with a logical explanation of the theory, examples to reinforce the explanation, and any key words and definitions that are required. Examples and definitions are clearly differentiated to ease revision and progression through the book. The material then flows into exercises, before introducing the next topic. In this way, the student is guided through the subject.The book contains a large number of exercises in order to provide teachers with as much flexibility as possible for their students. Answers to the questions are included at the back of the book. Contents: 1 Concepts in Mechanics; 2 Kinematics; Constant Acceleration; 3 Motion Graphs; 4 Forces; 5 Newton's Laws; 6 Friction; 7 Connected Bodies; 8 Statistical Sampling; 9 Data Presentation and Interpretation; 10 Central Tendency and Variation; 11 Correlation and Regression; 12 Data Cleaning; 13 Probability; 14 Binomial Distribution

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Book SynopsisThis CGP Student Book for Year 2 Maths covers all the Pure Maths, Statistics and Mechanics content needed for the second year of the AQA A-Level courses. For every topic, there are in-depth notes explaining all the theory, loads of worked examples and plenty of questions (with fully worked answers). There are also friendly tips along the way to help with the really complicated stuff. To keep in line with the latest specification, we've added in questions and examples that use problem solving and modelling techniques. And if that wasn't enough, this book comes with a free Online Edition (accessed using the unique code printed inside the front cover) that lets you read the entire book on a PC, Mac or tablet. For complete A-Level coverage, a Year 1 AQA Student Book (9781782947196) is also available from CGP.

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Closely matched to the latest A-Level Edexcel Maths specification, these brilliant CGP Practice Papers are the most realistic way for students to prepare for the tough exams! This pack contains two complete sets of exam-style tests (six papers in total) - plus a formula booklet with all the formulas and statistics tables students will need for their exams. We’ve also included detailed answers with step-by-step solutions and full mark schemes to make marking easy. For even more practice, don’t miss CGP’s Exam Practice Workbook for both years of A-Level Edexcel Maths (9781782947400).

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Book SynopsisIntended for students with a beginning knowledge of mathematical analysis, this first volume, in a three-part introduction to Fourier analysis, introduces the core areas of mathematical analysis while also illustrating the organic unity between them. It includes numerous examples and applications.Table of ContentsForeword vii Preface xi Chapter 1. The Genesis of Fourier Analysis 1 Chapter 2. Basic Properties of Fourier Series 29 Chapter 3. Convergence of Fourier Series 69 Chapter 4. Some Applications of Fourier Series 100 Chapter 5. The Fourier Transform on R 129 Chapter 6. The Fourier Transform on R d 175 Chapter 7. Finite Fourier Analysis 218 Chapter 8. Dirichlet's Theorem 241 Appendix: Integration 281 Notes and References 299 Bibliography 301 Symbol Glossary 305

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Book SynopsisAn engaging, accessible introduction into how numbers work and why we shouldn't be afraid of them, frommaths expertRachel Riley.Do you know your fractions from your percentages? Your adjacent to your hypotenuse? And who really knows how to do long division, anyway?Puzzled already? Don't blame youBut fret not! You won't be At Sixes and Sevens for long. In this brilliant, well-rounded guide, Countdown''s Rachel Riley will take you back to the very basics, allow you to revisit what you learnt at school (and may have promptly forgotten, *ahem*), build your understanding of maths from the get-go and provide you with the essential toolkit to gain confidence in your numerical abilities.Discover how to divide and conquer, make your decimal debut, become a pythagoras professional and so much more with these easy-to-learn tips and tricks. Packed full of working examples, fool-proof methods, quirky trivia and brainteasers to try from puzzle-pro Dr Gareth Moore, this book is an absolute must-read for anyone and everyone who ever thought maths was above' them. Because the truth is: you can do it. What's more, it can be pretty fun too!

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Book SynopsisDid you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds?In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.Trade ReviewA fascinating guide to maths for everyday life from two mathematical geniuses * The Times *

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Book SynopsisOn July 20, 1969, Neil Armstrong and Buzz Aldrin became the first people ever to set foot on the Moon, their iconic "small steps" captured forever by the camera the astronauts carried with them: the Hasselblad 500EL. This book looks at the history of the Apollo 11 mission through the lens of the Hasselblad, while narrating the parallel challenge to create a camera that could work on the Moon. It considers the cameras used, and the photographs captured, during the Space Race between Russia and America; looks at the experience of taking photographs on the Moon for the first time; and reflects on the legacy of those images, and their part in the enduring Moon Landing conspiracy theories. The second half of the book presents a commemorative album of photographs taken in space using the Hasselblad 500EL. While the Apollo 11 astronauts left two of the three cameras behind on the Moon, where they remain to this day, they brought back film magazines containing 1,400 photographs. A selection of the finest of these is shown alongside the mission timeline and transcripts of the conversations between the astronauts and mission control at Houston.

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Book SynopsisTough Test Questions? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's.More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solvedproblems, and practice exercises to test your skills.This Schaum's Outline gives you 1,370 fully solved problems Complete review of all course fundamentals Clear, concise explanations of all Advanced Calculus concepts Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!Topics include: Numbers; Sequences; Functions, Limits, and Continuity; Derivatives; Integrals; Partial Derivatives; VecTable of Contents Schaum's Outline of Advanced Calculus 3/e 1. Numbers 2. Sequences 3. Functions, Limits, and Continuity 4. Derivatives 5. Integrals 6. Partial Derivatives 7. Vectors 8. Applications of Partial Derivatives 9. Multiple Integrals 10. Line Integrals, Surface Integrals, and Integral Theorems 11. Infinite Series 12. Improper Integrals 13. Fourier Series 14. Fourier Integrals 15. Gamma and Beta Functions 16. Functions of a Complex Variable

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Book SynopsisExam Board: Edexcel, AQA, OCR & WJEC EduqasLevel: GCSE Grade 9-1 HigherSubject: MathsSuitable for the 2024 examsComplete coverage of the GCSE grade 9-1 courseRevision that Sticks! Collins GCSE 9-1 Maths Higher Revision Guide uses a revision method that really works: repeated practice throughout.This revision guide contains clear and concise revision notes for every topic covered in the curriculum, plus five practice opportunities to ensure the best results.Includes:quick tests to check understandingend-of-topic practice questionstopic review questions later in the bookmixed practice questions at the end of the bookfree Q&A flashcards to download onlinean ebook version of the revision guide

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Book SynopsisCollins International Primary Maths supports best practice in primary maths teaching, whilst encouraging teacher professionalism and autonomy. A wealth of supporting digital assets are provided for every lesson, including slideshows, tools and games to ensure they are rich, lively and engaging.Each lesson is based on a big idea', providing an engaging, exciting theme which is anchored in a real-life international context. Activities, exercises and investigations provide opportunities for learners to apply their knowledge, skills and understanding of the mathematics they are learning. The course develops learners' Thinking and Working Mathematically skills and offers opportunities for group and individual learning. The series also supports Cambridge Global Perspectives with activities that develop and practise key skills.Provides learner support as part of a set of resources for the Cambridge Primary curriculum framework (0096) from 2020.This series is endorsed by Cambridge Assessment International Education to support the new curriculum framework 0096 from 2020.

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Book SynopsisThis book provides mock papers for the new 2017 Edexcel A Level (first exams in 2019). Mock papers are the ideal revision resource for AS Level maths, and these have been created to perfectly match the style and content of the new linear exams. The book contains 3 sets of AS papers, therefore six papers in total. With rubric at the front, and space to write answers directly onto the page, this book provides realistic practice of the actual exam. Answers are in the back of the book with the full mark scheme available online.

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