Burn Math Class: And Reinvent Mathematics for Yourself


Jason Wilkes - 2016
    In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.

Blake


Peter Ackroyd - 1995
    In this innovative biography of the enigmatic eighteenth-century master, the author of Chatterton clarifies at last the true nature of William Blake's extraordinary life and art. 24-page color insert. Illustrations throughout.

The Art of Color: The Subjective Experience and Objective Rationale of Color


Johannes Itten - 1961
    Subjective feelings and objective color principles are described in detail and clarified by color reproductions.

Five Equations That Changed the World


Michael Guillen - 1995
    Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery. Dr. Michael Guillen is Instructor of Physics and Mathematics in the Core Curriculum Program at Harvard University.

Math with Bad Drawings


Ben Orlin - 2018
     In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

Unknown Quantity: A Real and Imaginary History of Algebra


John Derbyshire - 2006
    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

The Hour of Our Death


Philippe Ariès - 1977
    A truly landmark study, The Hour of Our Death reveals a pattern of gradually developing evolutionary stages in our perceptions of life in relation to death, each stage representing a virtual redefinition of human nature. Starting at the very foundations of Western culture, the eminent historian Phillipe Aries shows how, from Graeco-Roman times through the first ten centuries of the Common Era, death was too common to be frightening; each life was quietly subordinated to the community, which paid its respects and then moved on. Aries identifies the first major shift in attitude with the turn of the eleventh century when a sense of individuality began to rise and with it, profound consequences: death no longer meant merely the weakening of community, but rather the destruction of self. Hence the growing fear of the afterlife, new conceptions of the Last Judgment, and the first attempts (by Masses and other rituals) to guarantee a better life in the next world. In the 1500s attention shifted from the demise of the self to that of the loved one (as family supplants community), and by the nineteenth century death comes to be viewed as simply a staging post toward reunion in the hereafter. Finally, Aries shows why death has become such an unendurable truth in our own century--how it has been nearly banished from our daily lives--and points out what may be done to re-tame this secret terror. The richness of Aries's source material and investigative work is breathtaking. While exploring everything from churches, religious rituals, and graveyards (with their often macabre headstones and monuments), to wills and testaments, love letters, literature, paintings, diaries, town plans, crime and sanitation reports, and grave robbing complaints, Aries ranges across Europe to Russia on the one hand and to England and America on the other. As he sorts out the tangled mysteries of our accumulated terrors and beliefs, we come to understand the history--indeed the pathology--of our intellectual and psychological tensions in the face of death.

The Golden Ratio: The Divine Beauty of Mathematics


Gary B. Meisner - 2018
    This gorgeous book features clear, entertaining, and enlightening commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties.  With its lush format and layflat dimensions that closely approximate the golden ratio, this is the ultimate coffee table book for math enthusiasts, architects, designers, and fans of sacred geometry.

The Annotated Mona Lisa: A Crash Course in Art History from Prehistoric to Post-Modern


Carol Strickland - 1992
    A layman's guide to art history provides the reader with a basic working knowledge of art and its influence on society.

Frida Kahlo: 1907-1954 Pain and Passion


Andrea Kettenmann - 1993
    Un retrato de una artista, sobre todo una artista.(Portrait of an artist, always an artist, above all an artist.)

A Concise History of Mathematics


Dirk Jan Struik - 1948
    Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

The Cult of Statistical Significance: How the Standard Error Costs Us Jobs, Justice, and Lives


Stephen Thomas Ziliak - 2008
    If it takes a book to get it across, I hope this book will do it. It ought to.”—Thomas Schelling, Distinguished University Professor, School of Public Policy, University of Maryland, and 2005 Nobel Prize Laureate in Economics “With humor, insight, piercing logic and a nod to history, Ziliak and McCloskey show how economists—and other scientists—suffer from a mass delusion about statistical analysis. The quest for statistical significance that pervades science today is a deeply flawed substitute for thoughtful analysis. . . . Yet few participants in the scientific bureaucracy have been willing to admit what Ziliak and McCloskey make clear: the emperor has no clothes.”—Kenneth Rothman, Professor of Epidemiology, Boston University School of Health The Cult of Statistical Significance shows, field by field, how “statistical significance,” a technique that dominates many sciences, has been a huge mistake. The authors find that researchers in a broad spectrum of fields, from agronomy to zoology, employ “testing” that doesn’t test and “estimating” that doesn’t estimate. The facts will startle the outside reader: how could a group of brilliant scientists wander so far from scientific magnitudes? This study will encourage scientists who want to know how to get the statistical sciences back on track and fulfill their quantitative promise. The book shows for the first time how wide the disaster is, and how bad for science, and it traces the problem to its historical, sociological, and philosophical roots. Stephen T. Ziliak is the author or editor of many articles and two books. He currently lives in Chicago, where he is Professor of Economics at Roosevelt University. Deirdre N. McCloskey, Distinguished Professor of Economics, History, English, and Communication at the University of Illinois at Chicago, is the author of twenty books and three hundred scholarly articles. She has held Guggenheim and National Humanities Fellowships. She is best known for How to Be Human* Though an Economist (University of Michigan Press, 2000) and her most recent book, The Bourgeois Virtues: Ethics for an Age of Commerce (2006).

Differential Equations with Applications and Historical Notes


George F. Simmons - 1972
    Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.

Louvre: All the Paintings


Erich Lessing - 2011
    Comes with an enclosed, supportive DVD-ROM The Louvre is the world's most visited art museum, with 8.5 million visitors annually, and houses the most celebrated and important paintings of all time. For the first time ever, The Louvre: All the Paintings collects all 2,981 paintings currently on display in the permanent collection in one beautifully curated volume. Organized and divided into the four main painting collections of the museum— the Italian School, the Northern School, the Spanish School, and the French School— the paintings are then presented chronologically by the artist's date of birth.Four hundred of the most iconic and significant paintings are illuminated with 300-word discussions by art historians Anja Grebe and Vincent Pomarède on the key attributes of the work, what to look for when viewing the painting, the artist's inspirations and techniques, biographical information on the artist, the artist's impact on the history of art, and more. All 2,981 paintings are fully annotated with the name of the painting and artist, the date of the work, the birth and death dates of the artist, the medium that was used, the size of the painting, the Louvre catalog number, and the room in the Louvre in which the painting is found. The DVD-ROM is easily browsable by artist, date, school, art historical genre, or location in the Louvre. This last feature allows readers to tour the Louvre and its contents room by room, as if they were actually walking through the building.

Dear Data


Giorgia Lupi - 2016
    The result is described as “a thought-provoking visual feast”.