Mathematics Books

19123 products


  • Max Maths Primary A Singapore Approach Grade 5

    Macmillan Education Max Maths Primary A Singapore Approach Grade 5

    Book SynopsisMax Maths Primary - A Singapore Approach is a six-level course in mathematics for young learners. It offers a complete solution for schools following the Cambridge Primary maths curriculum framework, and has been specifically designed to support students who are learning in International and English-medium school settings.

    £16.08

  • Max Maths Primary A Singapore Approach Grade 3

    Macmillan Education Max Maths Primary A Singapore Approach Grade 3

    Book SynopsisMax Maths Primary A Singapore Approach is a six-level course in mathematics for young learners. It offers a complete solution for schools following the Cambridge Primary maths curriculum framework, and has been specifically designed to support students who are learning in International and English-medium school settings.

    £14.10

  • Max Maths Primary A Singapore Approach Grade 2

    Macmillan Education Max Maths Primary A Singapore Approach Grade 2

    Book SynopsisMax Maths Primary A Singapore Approach is a six-level course in mathematics for young learners. It offers a complete solution for schools following the Cambridge Primary maths curriculum framework, and has been specifically designed to support students who are learning in International and English-medium school settings.

    £17.37

  • Power of 2 The One to One Coaching System for

    £22.80

  • PreCalculus A Quickstudy Reference Guide Quick

    Barcharts, Inc PreCalculus A Quickstudy Reference Guide Quick

    Book SynopsisEach step higher in math studies is crucial to doing well at the next level. Pre-Calc is the gateway to higher level mathematics of which the best degrees and careers are built upon. The core essentials in 6 laminated pages can be used along with your text and lectures, as a review before testing, or as a memory companion that keeps key answers always at your fingertips. The most answers for your money in what students have said is 'a must have' study tool. Suggested uses: Quick Reference -- instead of digging into the textbook to find a core answer you need while studying, use the guide to reinforce quickly and repeatedly; Memory -- refreshing your memory repeatedly is a foundation of studying, have the core answers handy so you can focus on understanding the concepts; Test Prep -- no student should be cramming, but if you are, there is no better tool for that final review.

    £10.63

  • The Traitors

    Cornerstone The Traitors

    Book SynopsisTest your wits with the ultimate game of cunning, logic and intuition''This book is brilliant'' Zoe Ball, BBC Radio 2*It''s time to start your adventure. Get them before they get you*Put your sleuthing skills to the test in a world of deception, betrayal, and strategy. Placed in a castle in the Scottish Highlands, you must figure out if your fellow players are Faithful or a Traitor. Can you trust Jorge, the dentist with an encyclopaedic memory and tendency to smile at everyone? Or Nina, the retiree who acts like the group''s matriarch but has a knowing glint in her eyes..? Beware, for in this treacherous game, trust is a luxury you cannot afford.In the official book of the BAFTA-winning phenomenon, The Traitors: The Interactive Game Book, the decisions you make will decide what happens next. Take this thrilling journey on your own or with others, pooling your wisdom to make the right choices. With over 20 standalone games to play in a group - all with cunning Traitors twists - this is the perfect gift, guaranteed to unleash hours of mischief and fun.*Praise for The Traitors TV show*''Addictively fiendish, this treachery was the best thing on TV in 20 years'' Daily Mail''By far and away the most compelling and engrossing reality show of 2022, if not all time'' Rolling Stone''One of the hottest realities right now, The Traitors is an absolute phenomenon you can enjoy also in a book format. Now, this is not a normal book'' Digital Spy

    £10.44

  • Max Maths Primary A Singapore Approach Grade 1

    Macmillan Education Max Maths Primary A Singapore Approach Grade 1

    Book SynopsisMax Maths Primary - A Singapore Approach is a six-level course in mathematics for young learners. It offers a complete solution for schools following the Cambridge Primary maths curriculum framework, and has been specifically designed to support students who are learning in International and English-medium school settings.

    £17.37

  • Plus 1 The Introductory Coaching System for Maths

    £19.00

  • Humble Pi

    Penguin Books Ltd Humble Pi

    20 in stock

    Book Synopsis**The First Ever Maths Book to be a No.1 Bestseller**''Wonderful ... superb'' Daily MailWhat makes a bridge wobble when it''s not meant to? Billions of dollars mysteriously vanish into thin air? A building rock when its resonant frequency matches a gym class leaping to Snap''s 1990 hit I''ve Got The Power? The answer is maths. Or, to be precise, what happens when maths goes wrong in the real world.As Matt Parker shows us, our modern lives are built on maths: computer programmes, finance, engineering. And most of the time this maths works quietly behind the scenes, until ... it doesn''t. Exploring and explaining a litany of glitches, near-misses and mishaps involving the internet, big data, elections, street signs, lotteries, the Roman empire and a hapless Olympic shooting team, Matt Parker shows us the bizarre ways maths trips us up, and what this reveals about its essential place in our world.Mathematics doesn''t have good ''people skills'', but we would all be better off, he argues, if we saw it as a practical ally. This book shows how, by making maths our friend, we can learn from its pitfalls. It also contains puzzles, challenges, geometric socks, jokes about binary code and three deliberate mistakes. Getting it wrong has never been more fun.Trade ReviewMatt Parker has pulled off something wonderful . . . his stories are superb. -- Marcus Berkmann * The Daily Mail *Parker is consistently very funny . . . highly entertaining. * The Guardian *Numbers to die for. Four stars. -- Simon Griffith * Mail on Sunday *Bought it yesterday, enjoying it enormously, well done! -- Dara Ó Briain * Twitter *I just finished the new book by irrepressible maths enthusiast @standupmaths, and it's GREAT! -- Adam Savage, ex-host of 'Mythbusters' * Twitter *An entertaining and often alarming journey through the numerical blunders made over the years. * The Big Issue *Very funny. . . a compendium of stories about mathematical failures; some are amusing, others alarming, as in the case of the passenger aircraft that ran out of fuel because it had been measured in the wrong units * Telegraph Books of the Year *The surprise bestseller that makes maths fun * Sunday Times Magazine *Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations - that also gives you permission to feel a little better about some of your own mistakes -- Ryan North, author of How to Invent Everything

    20 in stock

    £10.44

  • On Being a Scientist A Guide to Responsible

    National Academies Press On Being a Scientist A Guide to Responsible

    Book SynopsisThe scientific research enterprise is built on a foundation of trust. Scientists trust that the results reported by others are valid. Society trusts that the results of research reflect an honest attempt by scientists to describe the world accurately and without bias. But this trust will endure only if the scientific community devotes itself to exemplifying and transmitting the values associated with ethical scientific conduct. On Being a Scientist was designed to supplement the informal lessons in ethics provided by research supervisors and mentors. The book describes the ethical foundations of scientific practices and some of the personal and professional issues that researchers encounter in their work. It applies to all forms of researchwhether in academic, industrial, or governmental settings-and to all scientific disciplines. This third edition of On Being a Scientist reflects developments since the publication of the original edition in 1989 and a second edition in 1995. A contTable of Contents1 Front Matter; 2 Introduction to the Responsible Conduct of Research; 3 Advising and Mentoring; 4 The Treatment of Data; 5 Mistakes and Negligence; 6 Research Misconduct; 7 Responding to Suspected Violations of Professional Standards; 8 Human Participants and Animal Subjects in Research; 9 Laboratory Safety in Research; 10 Sharing of Research Results; 11 Authorship and the Allocation of Credit; 12 Intellectual Property; 13 Competing Interests, Commitments, and Values; 14 The Researcher in Society; 15 Appendix: Discussion of Case Studies; 16 Additional Resources

    £15.29

  • The Principia

    Fingerprint! Publishing The Principia

    10 in stock

    Book SynopsisA groundbreaking work in the field of physics and mathematics. In this monumental work, Newton formulated the laws of motion and universal gravitation, laying the foundation for classical mechanics and revolutionizing our understanding of the physical world. The Principia remains one of the most significant scientific books ever written, influencing generations of scientists, and shaping the course of modern physics and mathematics. The Groundbreaking Work of Sir Isaac Newton Mathematical proofs and equations. Comprehensive coverage of planetary motion. Helps in understanding the principles of motion. Logical and rigorous approach to scientific inquiry. Studied and revered as a seminal work in the field of science.

    10 in stock

    £13.49

  • Storytelling with Data

    John Wiley & Sons Inc Storytelling with Data

    Book SynopsisDon't simply show your data tell a story with it! Storytelling with Data teaches you the fundamentals of data visualization and how to communicate effectively with data. You'll discover the power of storytelling and the way to make data a pivotal point in your story.Trade Review“This book is excellent value for money and recommended reading for Business Analysts and Project/Programme managers or anyone who finds they struggle to achieve the impact they hope for when attempting to communicate their reasoning and analysis.” (BCS, February 2016)Table of Contentsforeword ix acknowledgments xi about the author xiii introduction 1 chapter 1 the importance of context 19 chapter 2 choosing an effective visual 35 chapter 3 clutter is your enemy! 71 chapter 4 focus your audience’s attention 99 chapter 5 think like a designer 127 chapter 6 dissecting model visuals 151 chapter 7 lessons in storytelling 165 chapter 8 pulling it all together 187 chapter 9 case studies 207 chapter 10 final thoughts 241 bibliography 257 index 261

    £26.36

  • Pearson Edexcel GCSE 91 Mathematics Foundation

    Pearson Education Limited Pearson Edexcel GCSE 91 Mathematics Foundation

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

    £19.11

  • Edexcel AS and A Level Modular Mathematics Core

    Pearson Education Limited Edexcel AS and A Level Modular Mathematics Core

    Book Synopsis

    £25.55

  • Fooled by Randomness

    Penguin Books Ltd Fooled by Randomness

    20 in stock

    Book SynopsisEveryone wants to succeed in life. But what causes some of us to be more successful than others? Is it really down to skill and strategy - or something altogether more unpredictable? This book intends to change the way you think about business and the world.

    20 in stock

    £10.44

  • Quadrivium: The Four Classical Liberal Arts of

    Wooden Books Quadrivium: The Four Classical Liberal Arts of

    Out of stock

    Book SynopsisThe Quadrivium consists of the four Liberal Arts of Number, Geometry, Music, and Cosmology, studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. They synthesize number, space, and time. Geometry is number in space, music is number in time, and the cosmos expresses number in space and time. Number, music, and geometry are metaphysical truths, good and beautiful everywhere at all times. Life across the universe investigates them. They foreshadow the physical sciences. This is the first volume to bring together the Quadrivium for many hundreds of years.Trade Review"Music to the eye" - The New York Times. "Fascinating" - Financial Times. "Excellent" - New Scientist. "Genuinely mind-expanding" - Fortean Times. "Engaging and accessible" - Seattle Times. "Beautiful" - London Review of Books. "Rich and artful" - The Lancet.

    Out of stock

    £17.95

  • Ruler and Compass: Practical Geometric

    Wooden Books Ruler and Compass: Practical Geometric

    15 in stock

    Book SynopsisHow do you draw a heptagon? What about a heptakaidecagon? How do you fit circles perfectly into triangles? And around them? If the computer is down - could you do it with ruler and compass? In this unique little book, Andrew Sutton guides you through the once treasured principles of ruler and compass constructions, used for centuries by architects, carpenters, stonemasons and master craftsmen. Designed to last until the lights go out, this is a timeless book. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.

    15 in stock

    £8.18

  • Pearson Edexcel GCSE 91 Mathematics Purposeful

    Pearson Education Limited Pearson Edexcel GCSE 91 Mathematics Purposeful

    Book Synopsis

    £16.30

  • The Black Swan

    Penguin Books Ltd The Black Swan

    Book SynopsisThe phenomenal international bestseller that shows us how to stop trying to predict everything - and take advantage of uncertaintyWhat have the invention of the wheel, Pompeii, the Wall Street Crash, Harry Potter and the internet got in common? Why are all forecasters con-artists? Why should you never run for a train or read a newspaper? This book is all about Black Swans: the random events that underlie our lives, from bestsellers to world disasters. Their impact is huge; they''re impossible to predict; yet after they happen we always try to rationalize them. ''Taleb is a bouncy and even exhilarating guide ... I came to relish what he said, and even develop a sneaking affection for him as a person'' Will Self, Independent on Sunday''He leaps like some superhero of the mind'' Boyd Tonkin, IndependentTrade ReviewA fascinating study of how we are regularly taken for suckers by the unexpected * Guardian *Like the conversation of a raconteur ... hugely enjoyable - compelling * Financial Times *It has altered modern thinking * The Times *Confirms his status as a guru for every would-be Damien Hirst, George Soros and aspirant despot * Sunday Times *The Black Swan changed my view of how the world works -- Daniel Kahneman, author of Thinking, Fast and SlowGreat fun... brash, stubborn, entertaining, opinionated, curious, cajoling -- Stephen J. Dubner, co-author of FreakonomicsThe most prophetic voice of all * GQ *

    £12.34

  • Essential Maths 9 Higher: 9

    Elmwood Education Limited Essential Maths 9 Higher: 9

    Book Synopsis

    £9.50

  • Unequal

    Profile Books Ltd Unequal

    10 in stock

    Book SynopsisAt first glance, the concept of equality in maths seems unambiguous. Denoted by two parallel lines, the equals sign looks elegant, simple and entirely black and white. But between those two lines lies a grey area, a world of flexibility, creativity and innovation. And once you see this nuance, you quickly realise that sameness and difference, equality and inequality, are not nearly as immutable as they may seem. In fact, they are the opposite: a mathematical playground of choice and abstraction, leading to far greater insight than you could have dreamed. In UnEqual, Mathematician Eugenia Cheng explores the rich and rewarding world of the interplay between sameness and difference, from numbers to manifolds to category theory and beyond.

    10 in stock

    £17.09

  • Alex's Adventures in Numberland: Tenth

    Bloomsbury Publishing PLC Alex's Adventures in Numberland: Tenth

    7 in stock

    Book SynopsisA tenth anniversary edition of the iconic book about the wonderful world of maths Sunday Times bestseller Shortlisted for the BBC Samuel Johnson Prize ‘Original and highly entertaining' Sunday Times ‘A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist ‘Will leave you hooked on numbers' Daily Telegraph In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks, and demonstrates the remarkable ways it's linked to our everyday lives. Alex explains the surprising geometry of the 50p piece, and the strategy of how best to gamble it in a casino. He shines a light on the mathematical patterns in nature, and on the peculiar predictability of random behaviour. He eats a potato crisp whose revolutionary shape was unpalatable to the ancient Greeks, and he shows the deep connections between maths, religion and philosophy. From the world's fastest mental calculators in Germany to numerologists in the US desert, from a startlingly numerate chimpanzee in Japan to venerable Hindu sages in India, these dispatches from 'Numberland' are an unlikely but exhilarating cocktail of history, reportage and mathematical proofs. The world of maths is a much friendlier and more colourful place than you might have imagined. This anniversary edition is fully revised and updated.Trade ReviewOriginal and highly entertaining * Sunday Times *Will leave you hooked on numbers * Daily Telegraph *A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers * New Scientist *Outstanding ... The style is laced with humour, but at all times, the star of the show is mathematics * Ian Stewart, Prospect *If there was one book that was going to be compulsory for the nation to read it would be this one -- Evan DaviesA magical mystery tour . . . Philosophy, religion, magic, history and basic sheep-counting are gather together in Bellos’s bag of numbers * The Times *Revealing and insightful * Independent *A wholly original, beautifully written book about mathematics that does its subject justice but is so widely accessible that it will please everyone regardless of their numeracy * New Scientist *An entertaining and accessible account of how maths underpins our lives. Maths will never appear so forbidding again * TES *It is to be hoped that the uncountable delights of Bellos’s book, its verve and feeling for mathematics, convey its enchantments to a new generation * Times Literary Supplement *

    7 in stock

    £12.34

  • Astrophysics for Young People in a Hurry

    WW Norton & Co Astrophysics for Young People in a Hurry

    Book SynopsisAmerica’s most celebrated astrophysicist invites young readers to explore the mysteries of the universe.Trade Review"Tyson is admirably straightforward in his descriptions and doesn’t lapse into being condescending or patronising and I especially like the way he’s happy to say that there are things we just don’t know and phenomena we don’t understand." -- The Letterpress Project"The authors deliver an informative guide to modern astronomy, and most scientific terms or principles are adequately explained in easy-to-follow but not patronising language. There are useful discussions on topics such as Big Bang cosmology, relativity, extraterrestrial life, dark matter, dark energy and black holes." -- BBC Sky at Night

    £10.41

  • International Primary Maths Workbook Stage 3

    HarperCollins Publishers International Primary Maths Workbook Stage 3

    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.

    £12.55

  • The Secret Life of Equations

    Octopus Publishing Group The Secret Life of Equations

    15 in stock

    Book SynopsisUnlock the mysteries of the most important, surprising and fascinating equations in history

    15 in stock

    £10.44

  • Can You Solve My Problems?: A casebook of

    Guardian Faber Publishing Can You Solve My Problems?: A casebook of

    Book SynopsisAre you smarter than a Singaporean ten-year-old?Can you beat Sherlock Holmes?If you think the answer is yes - I challenge you to solve my problems. Here are 125 of the world's best brainteasers from the last two millennia, taking us from ancient China to medieval Europe, Victorian England to modern-day Japan, with stories of espionage, mathematical breakthroughs and puzzling rivalries along the way.Pit your wits against logic puzzles and kinship riddles, pangrams and river-crossing conundrums. Some solutions rely on a touch of cunning, others call for creativity, others need mercilessly logical thought. Some can only be solved be 2 per cent of the population. All are guaranteed to sharpen your mind. Let's get puzzling!

    £10.44

  • Is Maths Real

    Profile Books Ltd Is Maths Real

    20 in stock

    Book SynopsisA WATERSTONES BEST BOOK OF 2023A NEW SCIENTIST BEST BOOK OF 2023WINNER OF THE LA TIMES SCIENCE & TECHNOLOGY 2023 BOOK PRIZE''A generous tour of mathematics for anyone whose instincts tend less towards "Just tell me the answer" and more towards "Wait, but why?"'' JORDAN ELLENBERG To many, maths feels like an unmapped wilderness. Between abstract concepts like imaginary numbers and infinity, it can sometimes feel like a lot of maths is just made up. Why, for example, is 1 not a prime? Why do two negatives cancel each other out? Where does trigonometry come from? Is maths even real? Abstract mathematician Eugenia Cheng shows that curiosity is the best teacher. Is Maths Real? takes us on a scintillating tour of the simple questions that provoke mathematics'' deepest insights. ''Intriguing...celebrates the dizziness and disorientation engendered by childlike questions that hint at the deep mysteries beneath''NEW SCIENTIST ''Masterfully uncovers what''s simply profound in the profoundly simple''FRANCIS SU ''Discover what it feels like to be a real mathematician''DAILY TELEGRAPH

    20 in stock

    £10.44

  • Logicomix An Epic Search for Truth

    Bloomsbury Publishing PLC Logicomix An Epic Search for Truth

    15 in stock

    Book SynopsisThe innovative, dramatic graphic novel based on the life of the philosopher and mathematician Bertrand Russell.

    15 in stock

    £15.29

  • College Algebra Quick Study Academic

    Barcharts, Inc College Algebra Quick Study Academic

    20 in stock

    Book Synopsis

    20 in stock

    £8.98

  • Calculus Early Transcendentals Metric Edition

    Cengage Learning, Inc Calculus Early Transcendentals Metric Edition

    Book SynopsisTable of ContentsPreface. To the Student. Diagnostic Tests. A Preview of Calculus. 1. FUNCTIONS AND MODELS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Exponential Functions. Inverse Functions and Logarithms. Review. Principles of Problem Solving. 2. LIMITS AND DERIVATIVES. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Limits at Infinity; Horizontal Asymptotes. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. Problems Plus. 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Discovery Project: Families of Implicit Curves. Derivatives of Logarithmic Functions and Inverse Trigonometric Functions. Rates of Change in the Natural and Social Sciences. Exponential Growth and Decay. Applied Project: Controlling Red Blood Cell Loss During Surgery. Related Rates. Linear Approximations and Differentials. Discovery Project: Taylor Polynomials. Hyperbolic Functions. Review. Problems Plus. 4. APPLICATIONS OF DIFFERENTIATION. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. The Mean Value Theorem. What Derivatives Tell Us about the Shape of a Graph. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Summary of Curve Sketching. Graphing with Calculus and Technology. Optimization Problems. Applied Project: The Shape of a Can. Applied Project: Planes and Birds: Minimizing Energy. Newton's Method. Antiderivatives. Review. Problems Plus. 5. INTEGRALS. The Area and Distance Problems. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Review. Problems Plus. 6. APPLICATIONS OF INTEGRATION. Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Applied Project: Where to Sit at the Movies. Review. Problems Plus. 7. TECHNIQUES OF INTEGRATION. Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Integration Using Tables and Technology. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Problems Plus. 8. FURTHER APPLICATIONS OF INTEGRATION. Arc Length. Discovery Project: Arc Length Contest. Area of a Surface of Revolution. Discovery Project: Rotating on a Slant. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Problems Plus. 9. DIFFERENTIAL EQUATIONS. Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Models for Population Growth. Linear Equations. Applied Project: Which is Faster, Going Up or Coming Down? Predator-Prey Systems. Review. Problems Plus. 10. PARAMETRIC EQUATIONS AND POLAR COORDINATES. Curves Defined by Parametric Equations. Discovery Project: Running Circles Around Circles. Calculus with Parametric Curves. Discovery Project: B��zier Curves. Polar Coordinates. Discovery Project: Families of Polar Curves. Calculus in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review. Problems Plus. 11. SEQUENCES, SERIES, AND POWER SERIES. Sequences. Discovery Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series and Absolute Convergence. The Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Discovery Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Problems Plus. 12. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. Discovery Project: The Shape of Hanging Chain. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Discovery Project: Putting 3D in Perspective. Cylinders and Quadric Surfaces. Review. Problems Plus. 13. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler���s Laws. Review. Problems Plus. 14. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Discovery Project: Deriving the Cobb-Douglas Production Function. Tangent Planes and Linear Approximations. Applied Project: The Speedo LZR Racer. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. Problems Plus. 15. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical Coordinates. Discovery Project: The Intersection of Three Cylinders. Triple Integrals in Spherical Coordinates. Applied Project: Roller Derby. Change of Variables in Multiple Integrals. Review. Problems Plus. 16. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green���s Theorem. Curl and Divergence. Parametric Surfaces and Their Areas. Surface Integrals. Stokes��� Theorem. The Divergence Theorem. Summary. Review. Problems Plus. APPENDIXES. A: Numbers, Inequalities, and Absolute Values. B: Coordinate Geometry and Lines. C: Graphs of Second-Degree Equations. D: Trigonometry. E: Sigma Notation. F: Proofs of Theorems. G: The Logarithm Defined as an Integral. H: Answers to Odd-Numbered Exercises. INDEX.

    £72.99

  • Fermat’s Last Theorem

    HarperCollins Publishers Fermat’s Last Theorem

    Book Synopsis‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’ It was with these words, written in the 1630s, that Pierre de Fermat intrigued and infuriated the mathematics community. For over 350 years, proving Fermat’s Last Theorem was the most notorious unsolved mathematical problem, a puzzle whose basics most children could grasp but whose solution eluded the greatest minds in the world. In 1993, after years of secret toil, Englishman Andrew Wiles announced to an astounded audience that he had cracked Fermat’s Last Theorem. He had no idea of the nightmare that lay ahead. In ‘Fermat’s Last Theorem’ Simon Singh has crafted a remarkable tale of intellectual endeavour spanning three centuries, and a moving testament to the obsession, sacrifice and extraordinary determination of Andrew Wiles: one man against all the odds.Trade Review‘If you enjoyed Dava Sobel’s “Longitude” you will enjoy this.’ Evening Standard ‘This is probably the best popular account of a scientific topic I have ever read.’ Irish Times ‘Reads like the chronicle of an obsessive love affair. It has the classic ingredients that Hollywood would recognise.’ Daily Mail ‘To read it is to realise that there is a world of beauty and intellectual challenge that is denied to 99.9 per cent of us who are not high-level mathematicians.’ The Times ‘This tale has all the elements of a most exciting story: an impenetrable riddle; the ambition and frustration of generations of hopefuls; and the genius who worked for years in secrecy to realise his childhood dream.’ Express

    £10.44

  • International Primary Maths Workbook Stage 5

    HarperCollins Publishers International Primary Maths Workbook Stage 5

    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 009

    £12.55

  • International Primary Maths Students Book Stage 2

    HarperCollins Publishers International Primary Maths Students Book Stage 2

    5 in stock

    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

    5 in stock

    £9.49

  • String, Straight-edge and Shadow: The Story of

    Floris Books String, Straight-edge and Shadow: The Story of

    15 in stock

    Book SynopsisPlease note that this Floris Books edition has been revised for UK and European notation, language and metric systems.From the early peoples who marvelled at the geometry of nature -- the beehive and bird's nest -- to ancient civilisations who questioned beautiful geometric forms and asked 'why?', the story of geometry spans thousands of years. Using only three simple tools -- the string, the straight-edge and the shadow -- human beings revealed the basic principles and constructions of elementary geometry. Weaving history and legend, this fascinating book reconstructs the discoveries of mathematics's most famous figures. Through illustrations and diagrams, readers are able to follow the reasoning that lead to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, or the construction of the five regular solids.This insightful and engaging book makes geometry accessible to everyone. Readers will be fascinated with how the knowledge and wisdom of so many cultures helped shape our civilisation today.String, Straight-edge and Shadow is also a useful and inspiring book for those teaching geometry in Steiner-Waldorf classrooms.Trade Review'Shows us what we don't realise we know, what civilisations before us learnt and passed down to us. It brings an awe and magic back to our learning… Those that advanced knowledge of geometry had a grounded and practical understanding of where it came from. This book helps us to do that.'-- The Smart Happy Project'This was an enjoyable read for the everyday person of curious mind.' - Amazon.com'Fantastic, accurate, readable, teachable and Classical.' -- Amazon.com'The well constructed narrative brings these people and their excitement over these discoveries to life. I learned about the patterns in math from a new perspective and it made me wonder why math is always taught in the abstract format. These people understood it in a completely different way and I would think that some people would learn it better if it were explained this way.' -- Goodreads'This gem is about ancient Geometry that has definite application today. Knowing the stories behind many great discoveries make them so much more interesting and really helps math to come alive.' -- Goodreads'Whether you are learning geometry for the first time, teaching it to students at home or in the classroom, or are parents helping your children through their first geometry course, this is a must-read for everyone! You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today.' -- Waldorf Books‘String, Straight-edge and Shadow (is) an interesting and informative book and its numerous diagrams and illustrations are part of its appeal. Anyone interested in learning how discoveries made thousands of years ago still underpin much of our modern day science and mathematics will find this a useful and engaging read.’-- New View

    15 in stock

    £9.49

  • Essential Maths 9 Higher Homework Book

    Elmwood Education Limited Essential Maths 9 Higher Homework Book

    Book Synopsis

    £6.22

  • John Wiley & Sons Statistical Analysis with Python For Dummies

    20 in stock

    a huge range and FREE tracked UK delivery on ALL orders.

    20 in stock

    £23.79

  • A-Level Maths AQA Practice Papers

    Coordination Group Publications Ltd (CGP) A-Level Maths AQA Practice Papers

    20 in stock

    Book SynopsisBursting with brilliant exam practice for A-Level AQA Maths, these CGP Practice Papers are the best 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 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 AQA Maths (9781782947417).

    20 in stock

    £10.34

  • A Field Guide to Lies and Statistics

    Penguin Books Ltd A Field Guide to Lies and Statistics

    10 in stock

    Book SynopsisA guide to critical thinking in the ''post-truth'' era, from the author of Sunday Times best-seller The Organized Mind We live in a world of information overload. Facts and figures on absolutely everything are at our fingertips, but are too often biased, distorted, or outright lies. From unemployment figures to voting polls, IQ tests to divorce rates, we''re bombarded by seemingly plausible statistics on how people live and what they think. Daniel Levitin teaches us how to effectively ask ourselves: can we really know that? And how do they know that? In this eye-opening, accessible guide filled with fascinating examples and practical takeaways, acclaimed neuroscientist Daniel Levitin shows us how learning to understand statistics will enable you to make better, smarter judgements on the world around you.Trade ReviewIn a post-truth world, Levitin's book is an invaluable primer on how to sort the fact from the fiction * Sunday Times *The world is awash with data, but not always with accurate information. [Levitin] does a terrific job of illustrating the difference between the two with precision and delightful good humour -- Charles Wheelan, author of Naked EconomicsDeservedly a bestseller -- Independent on 'The Organized Mind'Smart, important, exquisitely written -- Daniel Gilbert on 'The Organized Mind'The Organized Mind is the perfect antidote to the effects of information overload. Loved it. -- Scott Turow, New York Times bestselling author of 'Identical' and 'Innocent' on 'The Organized Mind'Daniel Levitin's field guide is a critical thinking primer for our shrill, data-drenched age. From the way averages befuddle to the logical fallacies that sneak by us, every page is enlightening -- Charles Duhigg, author of The Power of Habit and Smarter, Faster, BetterValuable tools for anyone willing to evaluate claims and get to the truth of the matter * Kirkus Reviews *As a lucid guide to critical thinking about statistics, information and assertion it is profoundly welcome * Observer *

    10 in stock

    £10.44

  • Principles of Mathematical Analysis

    McGraw-Hill Education - Europe Principles of Mathematical Analysis

    Book SynopsisTable of ContentsChapter 1: The Real and Complex Number SystemsIntroductionOrdered SetsFieldsThe Real FieldThe Extended Real Number SystemThe Complex FieldEuclidean SpacesAppendixExercisesChapter 2: Basic TopologyFinite, Countable, and Uncountable SetsMetric SpacesCompact SetsPerfect SetsConnected SetsExercisesChapter 3: Numerical Sequences and SeriesConvergent SequencesSubsequencesCauchy SequencesUpper and Lower LimitsSome Special SequencesSeriesSeries of Nonnegative TermsThe Number eThe Root and Ratio TestsPower SeriesSummation by PartsAbsolute ConvergenceAddition and Multiplication of SeriesRearrangementsExercisesChapter 4: ContinuityLimits of FunctionsContinuous FunctionsContinuity and CompactnessContinuity and ConnectednessDiscontinuitiesMonotonic FunctionsInfinite Limits and Limits at InfinityExercisesChapter 5: DifferentiationThe Derivative of a Real FunctionMean Value TheoremsThe Continuity of DerivativesL'Hospital's RuleDerivatives of Higher-OrderTaylor's TheoremDifferentiation of Vector-valued FunctionsExercisesChapter 6: The Riemann-Stieltjes IntegralDefinition and Existence of the IntegralProperties of the IntegralIntegration and DifferentiationIntegration of Vector-valued FunctionsRectifiable CurvesExercisesChapter 7: Sequences and Series of FunctionsDiscussion of Main ProblemUniform ConvergenceUniform Convergence and ContinuityUniform Convergence and IntegrationUniform Convergence and DifferentiationEquicontinuous Families of FunctionsThe Stone-Weierstrass TheoremExercisesChapter 8: Some Special FunctionsPower SeriesThe Exponential and Logarithmic FunctionsThe Trigonometric FunctionsThe Algebraic Completeness of the Complex FieldFourier SeriesThe Gamma FunctionExercisesChapter 9: Functions of Several VariablesLinear TransformationsDifferentiationThe Contraction PrincipleThe Inverse Function TheoremThe Implicit Function TheoremThe Rank TheoremDeterminantsDerivatives of Higher OrderDifferentiation of IntegralsExercisesChapter 10: Integration of Differential FormsIntegrationPrimitive MappingsPartitions of UnityChange of VariablesDifferential FormsSimplexes and ChainsStokes' TheoremClosed Forms and Exact FormsVector AnalysisExercisesChapter 11: The Lebesgue TheorySet FunctionsConstruction of the Lebesgue MeasureMeasure SpacesMeasurable FunctionsSimple FunctionsIntegrationComparison with the Riemann IntegralIntegration of Complex FunctionsFunctions of Class L2ExercisesBibliographyList of Special SymbolsIndex

    £53.09

  • The Art of Logic: How to Make Sense in a World

    Profile Books Ltd The Art of Logic: How to Make Sense in a World

    15 in stock

    Book SynopsisFor thousands of years, mathematicians have used the timeless art of logic to see the world more clearly. In The Art of Logic, Royal Society Science Book Prize nominee Eugenia Cheng shows how anyone can think like a mathematician - and see, argue and think better. Learn how to simplify complex decisions without over-simplifying them. Discover the power of analogies and the dangers of false equivalences. Find out how people construct misleading arguments, and how we can argue back. Eugenia Cheng teaches us how to find clarity without losing nuance, taking a careful scalpel to the complexities of politics, privilege, sexism and dozens of other real-world situations. Her Art of Logic is a practical and inspiring guide to decoding the modern world.Trade ReviewMind-expanding ... a meaningful contribution to creating a better society as well as happier conversations and relationships * Guardian *A mathematician's thought-provoking attempt to lay out the tools of rational argument -- Michael Brooks * New Statesman Books of the Year *With humour, grace, and a natural gift for making explanations seem fun, Eugenia Cheng has done it again. This is a book to savour, to consult, and to buy for all your friends. You'll think more clearly after reading this book, something that is unfortunately in short supply these days. I am buying several copies to send to heads of state. -- Daniel Levitin, bestselling author of The Organised Mind & A Field Guide to Lies and StatisticsIn an era awash with conflict, exploitation, tribalism and fake news, the "illuminating precision" offered by logic is important. Cheng harnesses the power of abstraction to explore real-life phenomena such as sexism and white privilege. She walks us through the grand terrain of logic, from axioms to proofs. And she reveals how to build arguments as long chains of logical implications - a "virtuosic and masterful" skill that, combined with intelligent emotional engagement, can cut through pervasive irrationality * Nature *A perceptive analysis of logic and its limitations ... Cheng is successful not only in helping readers think more clearly, but in helping them understand why others sometimes appear to be illogical. This book has the potential to help understanding and avoid confrontational arguments that serve only to entrench opposing views * Times Higher Education *Radical and liberating * Emerald Street *We're thankful that someone like Eugenia Cheng is here; someone to eloquently and efficiently expound on concepts like logic and truth at a time when their very basis seems to come under attack ... We're forever on the lookout for someone to make mathematics both fun and accessible, and it looks like we've found that person in Eugenia Cheng * How it Works Magazine *A concert pianist, mathematician, polyglot and YouTube star, Cheng has carved out quite a niche for herself ... she brings an ebullient enthusiasm that's infectious * Guardian *Witty, charming, and crystal clear. Eugenia Cheng's enthusiasm and carefully chosen metaphors and analogies carry us effortlessly through the mathematical landscape -- Ian StewartClear, clever and friendly -- Alex Bellos

    15 in stock

    £10.44

  • Algebraic Equations Quick Study Quizzer

    Barcharts, Inc Algebraic Equations Quick Study Quizzer

    15 in stock

    Book SynopsisThis guide outlines basic algebraic equations, formulas, properties & operations.

    15 in stock

    £8.98

  • A Tiny Handbook of R

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG A Tiny Handbook of R

    15 in stock

    Book SynopsisThis Brief provides a roadmap for the R language and programming environment with signposts to further resources and documentation.Table of ContentsIntroduction to R.- Data Structures.- Tables and Graphs.- Hypothesis Tests.- Linear Models.

    15 in stock

    £39.99

  • Hodge P International Primary Maths Workbook

    HarperCollins Publishers Hodge P International Primary Maths Workbook

    20 in stock

    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.

    20 in stock

    £12.55

  • Why Machines Learn

    Penguin Books Ltd Why Machines Learn

    15 in stock

    Book Synopsis''An invaluable companion for anyone who wants a deep understanding of what's under the hood of often inscrutable machines'' Melanie Mitchell A rich, narrative explanation of the mathematics that has brought us machine learning and the ongoing explosion of artificial intelligenceMachine-learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumour is cancerous, or deciding whether someone gets bail. They now influence discoveries in chemistry, biology and physics - the study of genomes, extra-solar planets, even the intricacies of quantum systems.We are living through a revolution in artificial intelligence that is not slowing down. This major shift is based on simple mathematics, some of which goes back centuries: linear algebra and calculus, the stuff of eighteenth-century mathematics. Indeed by the mid-1850s, a lot of the groundwork was all done. It took the development of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see all around us today. In this enlightening book, Anil Ananthaswamy explains the fundamental maths behind AI, which suggests that the basics of natural and artificial intelligence might follow the same mathematical rules.As Ananthaswamy resonantly concludes, to make the most of our most wondrous technologies we need to understand their profound limitations - the clues lie in the maths that makes AI possible.

    15 in stock

    £24.00

  • The Man from the Future

    Penguin Books Ltd The Man from the Future

    5 in stock

    Book SynopsisA FINANCIAL TIMES AND TLS BOOK OF THE YEARAn exhilarating new biography of John von Neumann: the lost genius who invented our world''A sparkling book, with an intoxicating mix of pen-portraits and grand historical narrative. Above all it fizzes with a dizzying mix of deliciously vital ideas. . . A staggering achievement'' Tim HarfordThe smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Self-replicating moon bases and nuclear weapons. All bear the fingerprints of one remarkable man: John von Neumann.Born in Budapest at the turn of the century, von Neumann is one of the most influential scientists to have ever lived. His colleagues believed he had the fastest brain on the planet - bar none. He was instrumental in the Manhattan Project and helped formulate the bedrock of Cold War geopolitics and modern economic theory. He created the first ever programmable digital computer. He prophesied the potential of nanotechnology and, from his deathbed, expounded on the limits of brains and computers - and how they might be overcome.Taking us on an astonishing journey, Ananyo Bhattacharya explores how a combination of genius and unique historical circumstance allowed a single man to sweep through so many different fields of science, sparking revolutions wherever he went.Insightful and illuminating, The Man from the Future is a thrilling intellectual biography of the visionary thinker who shaped our century.

    5 in stock

    £10.44

  • A Level Mathematics for OCR Student Book 1 ASYear

    Cambridge University Press A Level Mathematics for OCR Student Book 1 ASYear

    Book SynopsisNew 2017 Cambridge A Level Maths and Further Maths resources help students with learning and revision. Written for the OCR AS/A Level Mathematics specifications for first teaching from 2017, this print Student Book covers the content for AS and the first year of A Level. It balances accessible exposition with a wealth of worked examples, exercises and opportunities to test and consolidate learning, providing a clear and structured pathway for progressing through the course. It is underpinned by a strong pedagogical approach, with an emphasis on skills development and the synoptic nature of the course. Includes answers to aid independent study.Table of Contents1. Proof and mathematical communication; 2. Indices and surds; 3. Quadratic functions; 4. Polynomials; 5. Using graphs; 6. Coordinate geometry; 7. Logarithms; 8. Exponential models; 9. Binomial expansion; Focus on proof 1; Focus on problem solving 1; Focus on modelling 1; Cross-topic review exercise 1; 10. Trigonometric functions and equations; 11. Triangle geometry; 12. Vectors; 13. Differentiation; 14. Applications of differentiation; 15. Integration; Focus on proof 2; Focus on problem solving 2; Focus on modelling 2; Cross-topic review exercise 2; 16. Working with data; 17. Probability; 18. Statistical hypothesis testing; Focus on proof 3; Focus on problem solving 3; Focus on modelling 3; Cross-topic review exercise 3; 19. Introduction to kinematics; 20. Motion with constant acceleration; 21. Force and motion; 22. Objects in contact; Focus on proof 4; Focus on problem solving 4; Focus on modelling 4; Cross-topic review exercise 4.

    £35.62

  • Edexcel GCSE 91 Mathematics Higher Extension

    Pearson Education Limited Edexcel GCSE 91 Mathematics Higher Extension

    15 in stock

    Book Synopsis  Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017   This book complements the Higher Student Book and can be used alongside the Higher Practice, Reasoning and Problem-solving Book to provide more in-depth practice. Consolidate understanding of key topics to help build confidence Support independent learning with scaffolded warm-up questions at the start of each section  and hints to provide help when needed Help students practise reasoning and problem-solving skills with new questions that  build on previous learning Challenge students with exam-style mixed exercises where students decide on the appropriate skills to apply.   

    15 in stock

    £13.97

  • A Level Mathematics for AQA Student Book 2 Year 2

    Cambridge University Press A Level Mathematics for AQA Student Book 2 Year 2

    15 in stock

    Book SynopsisNew 2017 Cambridge A Level Maths and Further Maths resources help students with learning and revision. Written for the AQA A Level Mathematics specification for first teaching from 2017, this print Student Book covers the content for the second year of A Level. It balances accessible exposition with a wealth of worked examples, exercises and opportunities to test and consolidate learning, providing a clear and structured pathway for progressing through the course. It is underpinned by a strong pedagogical approach, with an emphasis on skills development and the synoptic nature of the course. Includes answers to aid independent study. This book has entered an AQA approval process.Table of Contents1. Proof and mathematical communication; 2. Functions; 3. Further transformations of graphs; 4. Sequences and series; 5. Rational functions and partial fractions; 6. General binomial expansion; Focus on proof 1; Focus on problem solving 1; Focus on modelling 1; Cross-topic review exercise 1; 7. Radian measure; 8. Further trigonometry; 9. Calculus of exponential and trigonometric functions; 10. Further differentiation; 11. Further integration techniques; 12. Further applications of calculus; 13. Differential equations; 14. Numerical solutions of equations; 15. Numerical integration; 16. Applications of vectors; Focus on proof 2; Focus on problem-solving 2; Focus on modelling 2; Cross-topic review exercise 2; 17. Projectiles; 18. Forces in context; 19. Moments; Focus on proof 3; Focus on problem-solving 3; Focus on modelling 3; Cross-topic review exercise 3; 20. Conditional probability; 21. The normal distribution; 22. Further hypothesis testing; Focus on proof 4; Focus on problem-solving 4; Focus on modelling 4; Cross-topic review exercise 4.

    15 in stock

    £35.62

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