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The Manga Guide to Calculus
Hiroyuki Kojima - 2005
She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye.In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor).Mr. Seki teaches Noriko how to:Use differentiation to understand a function's rate of change Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral Integrate and differentiate trigonometric and other complicated functions Use multivariate calculus and partial differentiation to deal with tricky functions Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus.This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.
Euclid's Elements
Euclid
Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.
How to read and do proofs
Daniel Solow - 1982
Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.
Labyrinths of Reason: Paradox, Puzzles and the Frailty of Knowledge
William Poundstone - 1988
This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.
Gödel's Proof
Ernest Nagel - 1958
Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
Statistics Done Wrong: The Woefully Complete Guide
Alex Reinhart - 2013
Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.
Genius At Play: The Curious Mind of John Horton Conway
Siobhan Roberts - 2015
He discovered the Conway groups in mathematical symmetry, and invented the aptly named surreal numbers, as well as the cult classic Game of Life--more than a cool fad, Life demonstrates how simplicity generates complexity and the game provides an analogy for all mathematics and the entire universe. Moving to Princeton in 1987, as a mathemagician he deployed cards, ropes, dice, coat hangers, and even the odd Slinky as props to extend his winning imagination and share his mathy obsessions with signature contagion. He is a jet-setting ambassador-at-large for the beauties of all things mathematical.Genius At Play is an intimate investigation into the mind of an endearing genius, laying bare Conway's personal and professional idiosyncrasies. The intimacy comes courtesy of the man himself. He generously granted Roberts full access, though not without the occasional grudge and grumble: "Oh hell," he'd say. "You're not going to put that in the book. Are you?!?
The Librarian of Auschwitz
Antonio Iturbe - 2012
Taken, along with her mother and father, from the Terezín ghetto in Prague, Dita is adjusting to the constant terror that is life in the camp. When Jewish leader Freddy Hirsch asks Dita to take charge of the eight precious volumes the prisoners have managed to sneak past the guards, she agrees. And so Dita becomes the librarian of Auschwitz. Out of one of the darkest chapters of human history comes this extraordinary story of courage and hope.
Mathematician's Delight
W.W. Sawyer - 1943
Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.
The Radioactive Boy Scout: The Frightening True Story of a Whiz Kid and His Homemade Nuclear Reactor
Ken Silverstein - 2004
While he was working on his Atomic Energy badge for the Boy Scouts, David’s obsessive attention turned to nuclear energy. Throwing caution to the wind, he plunged into a new project: building a model nuclear reactor in his backyard garden shed.Posing as a physics professor, David solicited information on reactor design from the U.S. government and from industry experts. Following blueprints he found in an outdated physics textbook, David cobbled together a crude device that threw off toxic levels of radiation. His wholly unsupervised project finally sparked an environmental emergency that put his town’s forty thousand suburbanites at risk. The EPA ended up burying his lab at a radioactive dumpsite in Utah. This offbeat account of ambition and, ultimately, hubris has the narrative energy of a first-rate thriller.
Peter: The Untold True Story
Christopher Daniel Mechling - 2013
The book tells the adventures of the real boy who came to London and became a well-known figure more than a hundred years before James Barrie penned his classic. Peter the Wild Boy lived in eighteenth century England, through the reigns of three kings (all named George), and achieved legendary status in his own lifetime. He was not only a popular figure, but also drew intense philosophical and scientific study, and was a subject of interest to literary figures such as Daniel Defoe and Jonathan Swift. Peter retained a youthful appearance throughout his life, and had a joyful, intuitive spirit that was both challenging and infectious. This imaginative dramatization of the life of Peter the Wild Boy captures the joy, innocence and fire of a bright, feral child living in the midst of the Age of Enlightenment. It is narrated by the girl who perhaps knew him best. The epic story of his life, spanning approximately seventy years, navigates a tumultuous and thoughtful period in English history, rich with characters. Peter is a magical, poignant tale full of humor, love, and courage in the face of life's difficulties. It will make you laugh, cry, dream and remember what it means to be young.
The Boy who Lived with Ghosts
John Mitchell - 2013
This is a coming-of-age story of a boy, growing up in 1960s England. As shocking as it is, this is a story of survival and a boy’s desperate attempts to save his mother from the madness and the horror.“Mitchell's overview of then rundown Portsmouth, England in the 1960s shocks as he deftly bypasses all the clichéd elements of the 60s via gruesome images of destitution, a cast of unbelievably crazy misfits and the smells, local language, and music of a bleak and impoverished part of England. It's a wakeup call that not everyone experienced the ‘summers of love.’ The most amazing aspect of the book is his ability to re-capture his own voice at ages 5, 7, 8 and 13. John Mitchell's debut memoir dazzles. It's original, clever, and amid all the horror, funny.” -- IndieReader“The title suggests a ghost story, but a boy witnessing firsthand the onset and evolution of a mental breakdown is as bloodcurdling as anything supernatural, perhaps more so. A startling, sometimes-chilling tale of mental illness and familial abuse.” -- Kirkus Reviews“The Boy who Lived with Ghosts is a brilliant read. John’s story triggered a lot of emotions for me when I was reading and it brought me close to tears…I think it’s simply brilliant, I am going to recommend this book to you because it offers an insight into John’s heart-breaking childhood which will make you appreciate all that you have a lot more, The Boy who Lived with Ghosts is definitely a worthwhile read.” -- Online Book Club
Spilled Milk
K.L. Randis - 2013
When social services jeopardize her safety condemning her to keep her father’s secret, it’s a glass of spilled milk at the dinner table that forces her to speak about the cruelty she’s been hiding. In her pursuit for safety and justice Brooke battles a broken system that pushes to keep her father in the home. When jury members and a love interest congregate to inspire her to fight, she risks losing the support of family and comes to the realization that some people simply do not want to be saved. Spilled Milk is a novel of shocking narrative, triumph and resiliency.
The Quantum Astrologer's Handbook
Michael Brooks - 2017
It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.
Elementary Analysis: The Theory of Calculus
Kenneth A. Ross - 1980
It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.