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Hsc2017 maths pi

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Presentation from 2017 HSC and education forum

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Hsc2017 maths pi

  1. 1. 2017 Term 1
  2. 2. What is the collection? A collection in the North Sydney Boys High School library with mathematical themes. Some books may be challenging but that might make them more interesting for you! Detective fiction Science fiction Sport Art and architecture Puzzles and problems Philosophy Science and technology People who do maths Society & Culture Mathematics extension and enrichment𝒆𝒊𝝅 You are free to share, copy, or modify this work for non-commercial purposes so long as you: (i) Attribute the source : enzuber (ii) Share all derived works under a similar CC license. The NSBHS 𝝅 Collection : 2016 Term 4 Curators: Nordin Zuber, Joy Henderson, Jenny Fenney Images and some book summaries may be copyright. This work is licensed Creative Commons CC-BY-NC-SA. http://creativecommons.org/licenses/by-nc-sa/3.0/ Look for the purple 𝝅 sticker on the spine. Falcon Pi image by Alson Lee.
  3. 3. Zombies and Calculus. Colin Adams How can calculus help you survive the zombie apocalypse? Colin Adams, humor columnist for the Mathematical Intelligencer and one of today's most outlandish and entertaining popular math writers, demonstrates how in this zombie adventure novel. Count Like an Egyptian. David Reimer The mathematics of ancient Egypt was fundamentally different from our math today. Count Like an Egyptian provides a fun, hands-on introduction to the intuitive and often-surprising art of ancient Egyptian math. A beautifully illustrated book for lovers of all things Ancient Egyptian New to the 𝝅 Collection The Warlock of Firetop Mountain. The classic “make your own adventure” book. But did you realise it’s a mathematical adventure through a very twisted graph? As featured in the YouTube Numberphile episode “400 and Gamebooks”. Math on Trial Leila Schneps & Coralie Colmez How numbers get use and abused in the courtroom. In the wrong hands, maths can be deadly. In the case of the law, your liberty – and your life (in the USA) – can depend on the right calculation. True life stores.
  4. 4. In Praise of Simple Physics Paul J Nahin A masterful look at how basic principles, combined with clever thinking and fundamental mathematics, lead to satisfying explanations of an extraordinary range of natural phenomena, from the path of a football to why the sky is dark at night. * For readers with knowledge of elementary differential and integral calculus New to the 𝝅 Collection The Shape of Space Jeffrey R Weeks What is the universe as a whole shaped like? Does it curve back on itself? Does it meet itself at the other side without curving? Is its Flatland analogy a plane, or a sphere, or a doughnut, or a Klein bottle? Mindblowing Modular Origami Byriah Loper Modular origami is the latest craze in paper folding! These 3D models are created from a number of small pieces of paper that are easily folded and then fit together to form a spectacular shape. They range from paper polyhedra to bristling buckyballs to ornate flower- like spheres. Weapons of Math Destruction Cathy O’Neil We live in the age of the algorithm. Increasingly, the decisions that affect our by mathematical models. But as Cathy O’Neil reveals, the models being used today are opaque, unregulated, and uncontestable, even when they’re wrong. Most troubling, they reinforce discrimination: If a poor student can’t get a loan because a lending model deems him too risky (by virtue of his zip code), he’s then cut off from the kind of education that could pull him out of poverty, and a vicious spiral ensues. Welcome to the dark side of Big Data.
  5. 5. The Mathematics of Love. Hannah Fry What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? At what point in your dating life should you settle down? Hannah was one of the presenters at Maths Inspiration 2016. The Mismeasure of Man Stephen Jay Gould How smart are you? Gould’s brilliant, funny, engaging prose dissects the motivations behind those who would judge intelligence, and hence worth, by cranial size, convolutions, or score on extremely narrow tests. Updated edition which responds to the “The Bell Curve” book. Viewpoints: Mathematical Perspective and Fractal Geometry in Art Marc Frantz and Annalisa Crannell An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. Filled with case studies presented by artists for artists. L.A Math: Romance, Crime and Mathematics in the City of Angels James D Stein. Featuring such glamorous locales as Beverly Hills, Brentwood, Malibu, and Santa Barbara, the fourteen short stories in L.A. It’s everything you expect from the City of Angels—A-listers and wannabes, lovers and lawyers, heroes and villains – and … mathematics?
  6. 6. Fluke: The Math and Myth of Coincidence Joseph Mazur What are the chances? This is the question we ask ourselves when we encounter the strangest and most seemingly impossible coincidences, like the woman who won the lottery four times or the fact that Lincoln’s dreams foreshadowed his own assassination. But, when we look at coincidences mathematically, the odds are a lot better than any of us would have thought How Not to Be Wrong Jordan Ellenberg Maths is a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? And how likely are you, really, to develop cancer? A Field Guide to Lies Daniel J Levitin We are bombarded with more information each day than our brains can process—especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports revealing the ways lying weasels can use them.
  7. 7. Prime Numbers and the Riemann Hypothesis Barry Mazur and William Stein This book has received rave reviews as an outstanding presentation of the theory of prime numbers. * May require some calculus to fully understand the content. Everyday Calculus Oscar E Fernandez A very different type of calculus textbook. Some new books for Year 11 & 12 students An Imaginary Tale – the Story of −𝟏 Paul Nahin Everything you every wanted to know about complex numbers. A classic book on the subject. * This is a seriously challenging, but rewarding book for someone who already has the fundamentals of complex numbers. The teachers in the Maths Faculty have been scouring this book for nice exam question ideas….. Fifty Challenging Problems in Probability with Solutions Frederic Mosteller Can you solve the problem of "The Unfair Subway"? Marvin gets off work at random times between 3 and 5 p.m. His mother lives uptown, his girlfriend downtown. He takes the first subway that comes in either direction and eats dinner with the one he is delivered to. His mother complains that he never comes to see her, but he says she has a 50-50 chance. He has had dinner with her twice in the last 20 working days. Explain.
  8. 8. Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks Diaconis Persi “The book is packed with fantastic card tricks that will surely dazzle friends and family (with enough practice), but goes beyond this by explaining the mathematics behind the tricks. Mathematics, Magic and Mystery Martin Gardner Why do card tricks work? How can magicians do astonishing feats of mathematics mentally? Why do stage "mind-reading" tricks work? As a rule, we simply accept these tricks and "magic" without recognizing that they are really demonstrations of strict laws based on probability, sets, number theory, topology, and other branches of mathematics. The Perfect Bet Adam Kucharski There is one thing about gambling that everyone knows: the house always wins. Lotteries are set up to guarantee profits, to the state. A craps game is a sure thing, but only if you own the table. Sometimes, however, everyone is wrong. For the past 500 years, gamblers—led by mathematicians and scientists—have been trying to figure out how to turn the tables on the house and pull the rug out from under Lady Luck. Secrets of Mental Math Arthur Benjamin Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers. For the mathemagician
  9. 9. Three new programming books The Thrilling Adventures of Lovelace and Babbage: The (Mostly) True Story of the First Computer Sydney Padua A rollicking alternate reality manga-style book in which Lovelace and Babbage build the Difference Engine and then use it to build runaway economic models, battle the scourge of spelling errors, explore the wilder realms of mathematics, and, of course, fight crime. A wonderfully whimsical, utterly unusual book. Doing Math with Python Amit Saha Python – the ultimate beginner’s guide Python Crash Course – a hands on project based introduction to programming For the aspiring computer programmer
  10. 10. NEW Science Fiction The Three-Body Problem The Dark Forest Death’s End Cixin Liu Beijing police ask nanotech engineer Wang Miao to infiltrate a secretive cabal of scientists after a spate of inexplicable suicides. Wang's investigation will lead him to a mysterious online game and immerse him in a virtual world ruled by the intractable and unpredictable interaction of its three suns. This is the Three-Body Problem and it is the key to everything: the key to the scientists' deaths, the key to a conspiracy that spans light-years and the key to the extinction-level threat humanity now faces Award winning new science fiction from China. A ‘first contact’ story, with several mathematical themes woven in the background. Quaternia Tom Petsinis Fourteen-year old Ivan is mathematically gifted and obsessed with gaming. Excelling in online war games, he falls behind in his studies, withdraws from family and friends, and is manipulative in satisfying his obsession. Ivan embarks on a quest for the secret of Quaternia, a virtual world where mathematical ideas come alive.
  11. 11. The Cold Equations Tom Godwin A pilot is on an emergency mission to a planet whose colony is doomed if he doesn't get there. He has just enough fuel to reach the planet - then he finds he has a stowaway, a young girl wanting to be with her brother on the colony. If the pilot jettisons her through the airlock, the ship will barely make it to a landing on the planet. If he does not, the ship will crash and both of them as well as the colony will die. What will he do? Science fiction The Rithmatist Brandon Sanderson Young student Joel is fascinated by the magic of Rithmatics, but few have the gift and he is not one of them. Undaunted, Joel persuades Professor Fitch to teach him about this geometric magic. For although Joel can't infuse his protective lines and circles with power, or bring his chalk-drawn creatures to life, he can really understand how it works. However, a daunting test lies ahead, when someone starts kidnapping top Rithmatic students at his school, Armedius Academy. Jurassic Park Michael Crichton Seen the film? Now read the book and discover a thought provoking and interesting theme about fractals and chaos theory that didn’t make it to the film version.
  12. 12. Wizards, Aliens and Starships: Physics and Maths in Fantasy and Science Fiction. Charles L. Adler From teleportation and space elevators to alien contact and interstellar travel, science fiction and fantasy writers have come up with brilliant and innovative ideas. Yet how plausible are these ideas? Wizards, Aliens, and Starships delves into the most extraordinary details in science fiction and fantasy--such as time warps, shape changing, rocket launches, and illumination by floating candle--and shows readers the physics and math behind the phenomena. The Algebraist. Ian M. Banks Outstanding over-the-top ‘space-opera’ style science fiction from a Hugo Award Winner. Not really much mathematics in here, but the title gives us an excuse to put it in the Pi Collection. Once you have read one in this series, you’ll want to read all ten books. Cryptonomicon. Neal Stephenson A classic cyberpunk novel from the master (he also wrote “Snow Crash”) rich in mathematical alternate history.
  13. 13. Foundation The Foundation Novels Isaac Asimov What if human society could be explained by mathematics? What if a (very complicated) equation could predict the future? What if all went terribly wrong? Second Foundation Foundation and Empire Mr Zuber: “My all time favourite book when I was a 13 year old nerd”. The Hitchhiker’s guide to the galaxy series Douglas Adams ‘Space is big. Really big. You just won't believe how vastly, hugely, mind- bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space ‘ A comic adventure through time and space. Science fiction humour filled with hilarious jokes which are even funnier for the mathematically aware. Look out for wonderfully ridiculous logic of the Improbability Drive, and of course – the “answer to the meaning of life” is …. Hitchhikers’ Guide to the Galaxy The Restaurant at the End of the Universe Life, the Universe and Everything So Long and Thanks for the Fish Mostly Harmless Of Time and Stars Arthur C. Clarke A collection of classic short stories by one of the masters of science fiction. Including the amazing “Nine Billion Names of God” and the story that formed the basis of the greatest science fiction ever made “2001: A Space Odyssey”. Don’t be deceived the tatty looking old cover – this book is brilliant!
  14. 14. Fantasia Mathematica Clifton Fadiman A classic collection of mathematical stories, essays and anecdotes. Selections include writing by Aldous Huxley, Martin Gardner, H.G. Wells, George Gamow, G.H. Hardy, Robert Heinlein, Arthur C. Clarke. Stories of Your Life and Others Ted Chiang What if we discovered that the fundamentals of mathematics were arbitrary and inconsistent? What if we could divide by zero? What if exposure to an alien language forever changed our perception of time? Terrific new science fiction short stories. Factoring Humanity Robert J. Sawyer In the near future, a signal is detected coming from the Alpha Centauri system. Heather Davis has devoted her career to deciphering the message.When Heather achieves a breakthrough, the message reveals a startling new technology that rips the barriers of space and time, holding the promise of a new stage of human evolution. Contact Carl Sagan At first it seemed impossible - a radio signal that came not from Earth but from far beyond the nearest stars. But then the signal was translated, and what had been impossible became terrifying. For the signal contains the information to build a Machine that can travel to the stars. A Machine that can take a human to meet those that sent the message. They are eager to meet us: they have been watching and waiting for a long time. Little Brother Cory Doctorow Marcus, a.k.a “w1n5t0n,” is only seventeen years old, but he figures he already knows how the system works–and how to work the system. Smart, fast, and wise to the ways of the networked world, he has no trouble outwitting his high school’s intrusive but clumsy surveillance systems.
  15. 15. The Oxford Murders Guillermo Martinez Two mathematicians must join forces to stop a serial killer in this spellbinding international bestseller. It begins on a summer day in Oxford, when a young Argentine graduate student finds his landlady - an elderly woman who helped crack the Enigma Code during World War II - murdered in cold blood. The Three Body Problem : A Cambridge Mystery Catherine Shaw Cambridge, 1888. Miss Vanessa Duncan is a young schoolmistress recently arrived from the countryside. But everything changes when a Fellow of Mathematics, Mr. Akers, is found dead in his room from a violent blow to the head. Vanessa learns of Sir Isaac Newton’s yet unsolved ‘n-body problem’, which Mr. Akers might have been trying to solve to win the prestigious prize. Detective fiction Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession Apostolos Doxiadis. Petros Papachristos devotes the early part of his life trying to prove one of the greatest mathematical challenges of all time: Goldbach's Conjecture, the deceptively simple claim that every even number greater than two is the sum of two primes. Decades later, his ambitious young nephew drives the defeated mathematician back into the hunt to prove Goldbach's Conjecture. . . but at the cost of the old man's sanity, and perhaps even his life. The Curious Incident of the Dog in the Night-time Mark Haddon Christopher does not like strangers or the colours yellow or brown or being touched. On the other hand, he knows all the countries in the world and their capital cities and every prime number up to 7507. When Christopher decides to find out who killed the neighbour's dog, his mystery story becomes more complicated than he could have ever predicted.
  16. 16. Chasing Vermeer Blue Balliet When a book of unexplainable occurrences brings Petra & Calder together, strange things start to happen: seemingly unrelated events connect, an eccentric old woman seeks their company, an invaluable Vermeer painting disappears. Before they know it, the two find themselves at the centre of an international art scandal. Pythagorean Crimes Tefcros Michaelides Athens, 1929. Stefanos Kantartzis is found murdered, and Michael Igerinos, his best friend of 30 years, is being questioned by the police as the last person to see him alive. Could the solution to a mathematical problem could inspire such passion, so intense and perilous, as to drive someone to murder? The Weaver Fish Robert Edeson Cambridge linguist Edvard Tøssentern, presumed dead, reappears after a balloon crash. When he staggers in from a remote swamp, gravely ill and swollen beyond recognition, his colleagues at the research station are overjoyed. But Edvard’s discovery about a rare giant bird throws them all into the path of an international crime ring. The Weaver Fish is a gripping adventure story set on the island nation of Ferendes in the South China Sea. The Parrot’s Theorem Denis Guedj Mr. Ruche, a Parisian bookseller, receives a bequest from a long lost friend in the Amazon of a vast library of math books, which propels him into a great exploration of the story of mathematics. Meanwhile Max, whose family lives with Mr. Ruche, takes in a voluble parrot who will discuss math with anyone. When Mr. Ruche learns of his friend's mysterious death in a Brazilian rainforest, he decides that with the parrot's help he will use these books to teach Max and his brother and sister the mysteries mathematics.
  17. 17. Basketball Analytics: Objective and efficient strategies for understanding how teams win Stephen Shea Sport Beating the odds: the hidden mathematics of sport Robert Eastaway & John Haigh The Physics of Basketball John Fontanella Moneyball: The Art of Winning an Unfair Game Michael Lewis Moneyball is a quest for the secret of success in baseball. Following the low-budget Oakland Athletics, their larger-than-life general manger, Billy Beane, and the strange brotherhood of amateur baseball enthusiasts, Michael Lewis has written not only "the single most influential baseball book ever" (Rob Neyer, Slate) but also what "may be the best book ever written on business" (Weekly Standard).
  18. 18. Science and technology Seventeen equations that changed the world Ian Stewart From Newton's Law of Gravity to the Black-Scholes model used by bankers to predict the markets, equations, are everywhere - and they are fundamental to everyday life. What if? Randall Munroe Serious Scientific Answers to Absurd Hypothetical Questions is a non-fiction book by Randall Munroe in which he answers hypothetical science questions sent to him by readers of his webcomic, xkcd. Dynamics of Dinosaurs & Other Extinct Giants R McNeill Alexandar An astounding small book applying mathematical thinking and simple reasoning which resulted in Alexander proposing the controversial idea that many dinosaurs were warm blooded. A must-read for anyone interested in dinosaurs and will certainly feature in a “Working Mathematically” exam question one day. Einstein: His Life and Universe Walter Isaacson An outstanding biography – and an eye opener just how important mathematical reasoning was to the development of Einstein’s work. Highly recommended.
  19. 19. Parallel Worlds : A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos Michio Kaku A dizzying ride to explore black holes and time machines, multidimensional space and the possibility that parallel universes may lay alongside our own. The Perfect Theory: A Century of Geniuses and the Battle over General Relativity Pedro G. Ferreira Albert Einstein's General Theory of Relativity is possibly the most perfect intellectual achievement in modern physics. From the moment Einstein first proposed the theory in 1915, it was received with enthusiasm yet also with tremendous resistance, and for the following ninety years was the source of a series of feuds, vendettas, ideological battles and international collaborations featuring a colourful cast of characters. Seven Brief Lessons on Physics Carlo Rivelli 'Here, on the edge of what we know, in contact with the ocean of the unknown, shines the mystery and the beauty of the world. And it's breathtaking‘ These seven short lessons guide us, with simplicity and clarity, through the scientific revolution that shook physics in the twentieth century. In this mind-bending introduction Chaos : making a new science James Gleick A popular introduction to Chaos Theory, one of the most significant waves of scientific knowledge in our time. From Edward Lorenz's discovery of the Butterfly Effect to Benoit Mandelbrot's concept of fractals, which created a new geometry of nature, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.
  20. 20. The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us Noson S. Yanofsky Many books explain what is known about the universe. This book investigates what cannot be known. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes. Philosophy Logicomix: An Epic Search for Truth Apostolos Doxiadis , Christos H. Papadimitriou This exceptional graphic novel recounts the odyssey of philosopher Bertrand Russell. In his search for absolute truth, Russell crosses paths with legendary thinkers like Gottlob Frege, David Hilbert, and Kurt Gödel, and finds a passionate student in the great Ludwig Wittgenstein. But his most ambitious goal, to establish unshakable logical foundations of mathematics, continues to loom before him. A Certain Ambiguity: A Mathematical Novel Gaurav Suri While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier-- and that had landed him in jail. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. A favourite for students from Year 7 to Year 12. So popular we bought a second copy.
  21. 21. A Madman Dreams of Turing Machines Janna Levin Kurt Gödel’s Incompleteness Theorems sent shivers through Vienna’s intellectual circles and directly challenged Ludwig Wittgenstein’s dominant philosophy. Alan Turing’s mathematical genius helped him break the Nazi Enigma Code during WWII. Though they never met, their lives strangely mirrored one another—both were brilliant, and both met with tragic ends. Here, a mysterious narrator intertwines these parallel lives into a double helix of genius and anguish, wonderfully capturing not only two radiant, fragile minds but also the zeitgeist of the era. Godel, Esher, Bach: an eternal golden braid Douglas Hosftadter The classic book about art, mathematics, philosophy, music and artificial intelligence. A challenging book to read, but one to savour.
  22. 22. Art and architecture Mathematical Excursions to the World's Great Buildings Alexander J. Hahn An eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Islamic Geometric Patterns Eric Broug A high quality exploration of Islamic geometric patterns. Masters of deception : Escher, Dali & the artists of optical illusion Al Seckel . Pavement chalk artist : the three-dimensional drawings of Julian Beever Mind-blowing anamorphic projections! Could you draw these type of images? A book by the artist, for artists. .
  23. 23. A Beautiful Question: Finding Nature's Deep Design Frank Wilczek Does the universe embody beautiful ideas? Artists as well as scientists throughout history have pondered this “beautiful question.” Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. Gorgeously illustrated, A Beautiful Question is a mind- shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humour and infectious sense of wonder animate every page. Viewpoints: Mathematical Perspective and Fractal Geometry in Art Marc Frantz and Annalisa Crannell An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. Filled with case studies presented by artists for artists.
  24. 24. Society & Culture The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century David Salsburg. At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. The Code Book: The Secret History of Codes and Code-breaking Simon Singh An story of puzzles, codes, languages and riddles that reveals the continual pursuit to disguise and uncover, and to work out the secret languages of others. The betrayal of Mary Queen of Scots and the cracking of the enigma code that helped the Allies in World War II are major episodes in a continuing history of cryptography. Outliers Malcolm Gladwell What makes high-achievers different? Gladwell explores the effects of culture, family, generation, and the idiosyncratic experiences of upbringing. Along the way he explains the secrets of software billionaires, what it takes to be a great soccer player, why Asians are good at math, and what made the Beatles the greatest rock band. Longitude Dava Sobel The ‘longitude problem’ was the thorniest scientific dilemma of the 18th century. Lacking the ability to measure their longitude, sailors throughout the great ages of exploration had been literally lost at sea as soon as they lost sight of land. Thousands of lives, and the increasing fortunes of nations, hung on a resolution.
  25. 25. The Numbers Behind Numb3rs Keith Devlin Using the popular CBS prime-time TV crime series Numb3rs as a springboard, Keith Devlin and Gary Lorden (the principal math advisor to Numb3rs) explain real-life mathematical techniques used by the FBI and other law enforcement agencies to catch and convict criminals. The Simpsons and Their Mathematical Secrets Simon Singh. You may have watched hundreds of episodes of The Simpsons without ever realizing that cleverly embedded in many plots are subtle references to mathematics, ranging from well-known equations to cutting-edge theorems and conjectures. The Tiger That Isn’t Andrew Dilnot & Michael Blastland Politicians and journalists use numbers all the time to bamboozle us. By using a few really simple principles one can quickly see when maths, statistics and numbers are being abused to play tricks - or create policies - which can waste millions of pounds. Inequality and the 1% Danny Dorling Inequality is more than just economics, it is the culture that divides and makes social mobility almost impossible. Leading geographer Danny Dorling goes in pursuit of the latest research into how the lives and ideas of the 1% impact on the remaining 99%.
  26. 26. Measuring the World Daniel Kehlmann Late in the eighteenth century, two young Germans set out to measure the world. One of them, the aristocratic naturalist Alexander von Humboldt, negotiates jungles, voyages down the Orinoco River, tastes poisons, climbs the highest mountain known to man, counts head lice, and explores and measures every cave and hill he comes across. The other, the reclusive and barely socialized mathematician Carl Friedrich Gauss, can prove that space is curved without leaving his home. Seduced by Logic Robyn Arianrhod Newton's Principia changed forever humanity's understanding of its place in the universe. But it was feisty French aristocratic Émilie du Châtelet who played a key role in bring Newton's revolutionary opus to a Continental audience. Emilie personified the exciting mix of science, literature, politics and philosophy that defined the Enlightenment. A century later, Mary Somerville taught herself mathematics and rose from genteel poverty to become a world authority on Newtonian physics. Mary and Émilie bring to life a defining period in science and politics, revealing the intimate links between the unfolding Newtonian revolution and the origins of intellectual and political liberty. The Great Arc John Keay A vivid description of one of the most ambitious scientific projects in the 19th century: the measurement of the Himalayas and the mapping of the Indian subcontinent by William Lambton and George Everest. It faced horrendous technical difficulties, jungles, tigers, and mountains and took over 50 years. But the scientific results were commensurate, including the discovery of the world’s highest peaks and a new calculation of the curvature of the earth’s surface.
  27. 27. “Must-read” books for the well-read economics student Do not arrive at university without having at least looked at these books! If you can make time to read these by the end of Year 11, you will have outstanding material and ideas for your essays. A Random Walk Down Wall Street Burton Malkiel. The book that popularised the concept of Index Funds. A mathematical perspective on financial markets, with a good discussion on randomness and the misuse of statistics to mislead investors. Capital in the Twenty-First Century Thomas Piketty. Arguably the most talked about economics book in the last twenty years, generating much controversy. A very weighty tome, full of challenging ideas and rich in mathematics. Even if you only read the first few chapters, you will get benefit. The Black Swan Nassim Taleb A black swan is an event, positive or negative, that is deemed improbable yet causes massive consequences. In this groundbreaking and prophetic book, Taleb shows in a playful way that Black Swan events explain almost everything about our world, and yet we - especially the experts - are blind to them. This second edition updated with content about the Global Financial Crisis. Freakonomics Steven Levitt & Stephen Dubner A collection of articles written by Levitt, an expert who has already gained a reputation for applying economic theory to diverse subjects not usually covered by "traditional" economists. Seriously good fun. Mr Zuber says: A must read for anyone interested in investing or in how financial markets work.
  28. 28. Double Entry Jane Gleeson-White How the merchants of Venice created modern finance. Who would have thought a book about accounting would be so fascinating? A must read for anyone interested in money, Renaissance Italy, the lives of the great artists and the history of mathematics A History of Interest Rate Sydney Homer A readable account of interest rate trends and lending practices spanning over four millennia of economic history. Filled with in-depth insights and illustrative charts and tables, it places the rates and corresponding credit forms in context by summarizing the political and economic events and financial customs of particular times and places.
  29. 29. People who do maths Born on a Blue Day Daniel Tammet 'I was born on 31 January 1979 - a Wednesday. I know it was a Wednesday, because the date is blue in my mind and Wednesdays are always blue, like the number nine or the sound of loud voices arguing.‘ Daniel Tammet sees numbers as shapes, colours, textures and motions, and can learn to speak a language fluently from scratch in three days. He also has a compulsive need for order and routine. He eats exactly 45 grams of porridge for breakfast and cannot leave the house without counting the number of items of clothing he's wearing. If he gets stressed or unhappy he closes his eyes and counts. Love and Math: The Heart of Hidden Reality Edward Frenkel What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren’t even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we’ve never seen, suffused with all the beauty and elegance of a work of art. In Code David Flannery & Sarah Flannery In January 1999, Sarah Flannery, a sports-loving teenager from Blarney in County Cork, Ireland, was awarded Ireland's Young Scientist of the Year for her extraordinary research and discoveries in Internet cryptography. Just sixteen, she was a mathematician with an international reputation. This is her story.
  30. 30. Finding Moonshine: A Mathematician’s Journey Through Symmetry Marcus Du Sautoy This book combines a personal insight into the mind of a working mathematician with the story of one of the biggest adventures in mathematics: the search for symmetry. The Man Who Knew Infinity: A Life of the Genius Ramanujan Robert Kanigel In 1913, a young unschooled Indian clerk wrote a letter to G H Hardy, begging the preeminent English mathematician's opinion on several ideas he had about numbers. Realizing the letter was the work of a genius, Hardy arranged for Srinivasa Ramanujan to come to England. Thus began one of the most improbable and productive collaborations ever chronicled. Genius at Play The story of the remarkable Steven Conway. Inventor of the Game of Life and Sprouts. As seen on Numberphile. The Housekeeper and the Professor (Fiction) Yoko Ogawa He is a brilliant maths professor with a peculiar problem - ever since a traumatic head injury seventeen years ago, he has lived with only eighty minutes of short-term memory. She is a sensitive but astute young housekeeper who is entrusted to take care of him. Each morning, as the Professor and the Housekeeper are reintroduced to one another, a strange, beautiful relationship blossoms between them.
  31. 31. Letters to a Young Mathematician Mathematician Ian Stewart tells readers what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical- what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others. Struck by genius : how a brain injury made me a mathematical marvel. Jason Padgett & Maureen Ann Seaberg The Man Who Only Loved Numbers: The Story of Paul Erdos and the Search for Mathematical Truth Paul Hoffman A Numerate Life John Allen Paulos An award-winning insight into the life of a mathematician.
  32. 32. Puzzles and problems The Moscow Puzzles: 359 Mathematical Recreations Boris A. Kordemsky The best and most popular puzzle book ever published in the Soviet Union. Lavishly illustrated with over 400 clear diagrams and amusing sketches. The Colossal Book of Short Puzzles and Problems Martin Gardner For more than twenty-five years, Martin Gardner was Scientific American's renowned provocateur of popular math. Loyal readers would savour the wit and elegance of his explorations in physics, probability, topology, and chess, among others. Grouped by subject and arrayed from easiest to hardest, the puzzles gathered here have been selected by Gardner for their illuminating; and often bewildering; solutions Professor Stewart's Cabinet of Mathematical Curiosities Professor Stewart’s Hoard of Mathematical Treasures Professor Stewart’s Casebook of Mathematical Mysteries
  33. 33. Mathematics extension and enrichment𝒆𝒊𝝅 Coincidences, Chaos and that Math Jazz Edward B Burger & Michael Starbird Probability shows that surprising coincidences such as the amazing parallels between the Lincoln and Kennedy assassinations are sure to happen. These and other foreign and familiar mysteries are all explained with great humour and clarity in this irreverent, entertaining and readable book Things to Make and Do in the Fourth Dimension Matt Parker Starting with the foundations of math from school (numbers, geometry, and algebra), Parker reveals how it is possible to climb all the way up to topology and to four- dimensional shapes, and from there to infinity―and slightly beyond. Filled with captivating games and puzzles, hands- on activities that explore mathematics normally only available to those studying at a university level. How to think like a Mathematician A Companion to Undergraduate Mathematics. Dr Kevin Houston. Looking for a head start in your undergraduate degree in mathematics? This friendly companion will ease your transition to real mathematical thinking. Mr Zuber says: Highly recommended for students planning on studying mathematics at University. Many good ideas for Year 12 Extension students wanting to write better proofs.
  34. 34. Flatland: A Romance of Many Dimensions is an 1884 satirical novella by the Edwin Abbott. What would it be live as a triangle 2D world? And what if you had visions of a 3D world beyond? A rich, imaginative book with a satirical twist. Alex's Adventures in Numberland Alex Bellos Alex meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck. Adam Spencer’s Big Book of Numbers Why do people get freaked out by Friday the 13th? Where does a ‘dozen’ come from? Who was Erno Rubik? And how do you become a master at Sudoku? 100 bite- sized chapters. Thinking in Numbers Daniel Tammet. From the mathematician who wrote “Born on a Blue Day” – an insight into his world of mathematics. Fermat’s Last Theorem Simon Singh 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. The Joy of x Steven Strogatz Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations. Highly recommended. 𝒆𝒊𝝅
  35. 35. The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics Clifford Pickover The Number Devil: A Mathematical Adventure Hans Magnus Enzensberger. In twelve dreams, Robert, a boy who hates math, meets a Number Devil, who leads him to discover the amazing world of numbers. 𝒆𝒊𝝅 The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life Alex Bellos 1089 and all that David Acheson Packed with puzzles and illustrated by world famous cartoonists, this is one of the most readable and imaginative books on mathematics ever written. The Cartoon Introduction to Statistics Grady Klein The Penguin dictionary of curious and interesting numbers David Wells
  36. 36. How to Solve It: A New Aspect of Mathematical Method G. Polya & John H. Conway. The seminal work on problem solving strategies. A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form Paul Lockhart A controversial essay which provoked spirited debate among educators and parents. Recommended! Measurement Paul Lockhart Rediscover the joy and beauty of geometric thinking. A mathematical poem. A treasure trove of a book – Mr Zuber’s favourite book of 2014. Highly recommended. The Colossal Book of Mathematics Martin Gardner A collection of Gardner's most popular pieces from his legendary "Mathematical Games" column, which ran in Scientific American for twenty-five years. A book to dip into over time or take on a desert island! Introducing Fractals: A Graphic Guide Nigel Lesmoir-Gordon A manga style exploration of Fractal Geometry 𝒆𝒊𝝅 Finding Zero Amir D. Aczel Where do the numbers we use today, the so-called Hindu- Arabic numerals, come from? A grand quest into India, Thailand, Laos, Vietnam, and ultimately into the wilds of Cambodia.
  37. 37. The Mathematical Traveller : Exploring the Grand History of Numbers Calvin Clawson The Number Mysteries Marcus du Sautoy A short, lively book on five mathematical problems that just refuse be solved. What Is Mathematics? An Elementary Approach to Ideas and Methods (2nd Edition) Courant, Robbins and Stewart. A classic, recently updated. Here’s Looking at Euclid Alex Bellos Uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami The mathematical recreations of Lewis Carroll. Lewis Carroll The Manga guide to Calculus Hiroyuki Kohima 𝒆𝒊𝝅
  38. 38. Solving mathematics problems: a personal perspective Terence Tao. A clearly presented text leads the reader through solving mathematical problems at the Mathematical Olympiad level. Assuming only a basic level of mathematics, for students of 14 years and above. Naked Statistics: Stripping the Dread from the Data Charles Wheelan. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism?. 𝒆𝒊𝝅 A brief history of Infinity Brian Clegg Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Mathematics MINUS Fear Lawrence Potter . Mathematics of Life Ian Stewart A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance..
  39. 39. Cogwheels of the Mind A W F Edwards A beautifully illustrated guide to the history and application of Venn Diagrams. Written by “Edwards” of the “Edwards-Venn diagrams” fame. A work of art, worth looking at just for the pretty pictures. The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry Mario Livio. The story behind the mathematicians who developed Group Theory – a language to describe symmetry. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics John Derbyshire In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis titled “On the Number of Prime Numbers Less Than a Given Quantity.” Today, after 150 years of careful research and exhaustive study, the Riemann Hyphothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it. Teaching Secondary School Mathematics Merryln Goos et al. Interested in becoming a mathematics teacher? Or wonder how and why your teaching the way they do?
  40. 40. What do you think of these books? Are there any you would highly recommend? Or any you think we should remove from the collection? Please give your feedback to your mathematics teacher or to Mrs Henderson in the library. Or: Visit www.goodreads.com and add your reviews and comments to the “The Pi Collection” list.