50 Mathematical Ideas You Really Need to Know


Tony Crilly - 2007
    Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.

On Liberty


John Stuart Mill - 1859
    Mill's passionate advocacy of spontaneity, individuality, and diversity, along with his contempt for compulsory uniformity and the despotism of popular opinion, has attracted both admiration and condemnation.

The Story of Philosophy: The Lives and Opinions of the World's Greatest Philosophers


Will Durant - 1926
    Few write for the non-specialist as well as Will Durant, and this book is a splendid example of his eminently readable scholarship. Durant’s insight and wit never cease to dazzle; The Story of Philosophy is a key book for anyone who wishes to survey the history and development of philosophical ideas in the Western world.

Gamma: Exploring Euler's Constant


Julian Havil - 2003
    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

Civilization and Its Discontents


Sigmund Freud - 1930
    It is both witness and tribute to the late theory of mind—the so-called structural theory, with its stress on aggression, indeed the death drive, as the pitiless adversary of eros.Civilization and Its Discontents is one of the last of Freud's books, written in the decade before his death and first published in German in 1929. In it he states his views on the broad question of man's place in the world, a place Freud defines in terms of ceaseless conflict between the individual's quest for freedom and society's demand for conformity.Freud's theme is that what works for civilization doesn't necessarily work for man. Man, by nature aggressive and egotistical, seeks self-satisfaction. But culture inhibits his instinctual drives. The result is a pervasive and familiar guilt.Of the various English translations of Freud's major works to appear in his lifetime, only one was authorized by Freud himself: The Standard Edition of the Complete Psychological Works of Sigmund Freud under the general editorship of James Strachey.Freud approved the overall editorial plan, specific renderings of key words and phrases, and the addition of valuable notes, from bibliographical and explanatory. Many of the translations were done by Strachey himself; the rest were prepared under his supervision. The result was to place the Standard Edition in a position of unquestioned supremacy over all other existing versions.

Conceptual Mathematics: A First Introduction to Categories


F. William Lawvere - 1997
    Written by two of the best-known names in categorical logic, Conceptual Mathematics is the first book to apply categories to the most elementary mathematics. It thus serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.

A Kierkegaard Anthology


Søren Kierkegaard - 1936
    The selections range from the terse epigrams of the Journal through the famous -Diary of the Seducer- and the -Banquet- scene, in which Soren Kierkegaard reveals his great lyric and dramatic gifts, on to the philosophical and psychological works of his maturity. These are climaxed by the beautiful and moving religious discourses which accompany them; finally, there is the biting satire of his Attack upon -Christendom.-This is emphatically not a collection of -snippets, - but the cream of Kierkegaard, each selection interesting and intelligible in itself, and all ranking among his most important work. They are so arranged as to convey an idea of his remarkable intellectual development.Contents: A comprehensive anthology from the following works: Either/Or Fear and Trembling Stages on Life's Way Works of Love Concluding Unscientific Postscript Attack upon -Christendom- The Sickness Unto Death Philosophical Fragments and others

Feynman's Lost Lecture: The Motion of Planets Around the Sun


David Goodstein - 1996
    Most know Richard Feynman for the hilarious anecdotes and exploits in his best-selling books Surely You're Joking, Mr. Feynman! and What DoYou Care What Other People Think? But not always obvious in those stories was his brilliance as a pure scientist—one of the century's greatest physicists. With this book and CD, we hear the voice of the great Feynman in all his ingenuity, insight, and acumen for argument. This breathtaking lecture—"The Motion of the Planets Around the Sun"—uses nothing more advanced than high-school geometry to explain why the planets orbit the sun elliptically rather than in perfect circles, and conclusively demonstrates the astonishing fact that has mystified and intrigued thinkers since Newton: Nature obeys mathematics. David and Judith Goodstein give us a beautifully written short memoir of life with Feynman, provide meticulous commentary on the lecture itself, and relate the exciting story of their effort to chase down one of Feynman's most original and scintillating lectures.

Leviathan


Thomas Hobbes - 1651
    But his penetrating work of political philosophy - now fully revised and with a new introduction for this edition - opened up questions about the nature of statecraft and society that influenced governments across the world.

Great Dialogues of Plato


Plato
    One of the world's most respected classical scholars offers translations of the complete texts of "The Republic, Apology of Socrates, " "Crito, " "Phaedo, " "Ion, " "Meno, " and "Symposium."

The Art of Statistics: How to Learn from Data


David Spiegelhalter - 2019
      Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders. In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Drawing on real world examples to introduce complex issues, he shows us how statistics can help us determine the luckiest passenger on the Titanic, whether a notorious serial killer could have been caught earlier, and if screening for ovarian cancer is beneficial. The Art of Statistics not only shows us how mathematicians have used statistical science to solve these problems -- it teaches us how we too can think like statisticians. We learn how to clarify our questions, assumptions, and expectations when approaching a problem, and -- perhaps even more importantly -- we learn how to responsibly interpret the answers we receive. Combining the incomparable insight of an expert with the playful enthusiasm of an aficionado, The Art of Statistics is the definitive guide to stats that every modern person needs.

The Art of Computer Programming, Volumes 1-3 Boxed Set


Donald Ervin Knuth - 1998
    For the first time, these books are available as a boxed, three-volume set. The handsome slipcase makes this set an ideal gift for the recent computer science graduate or professional programmer. Offering a description of classical computer science, this multi-volume work is a useful resource in programming theory and practice for students, researchers, and practitioners alike. For programmers, it offers cookbook solutions to their day-to-day problems.

The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century


David Salsburg - 2001
    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. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.

The Complete Essays


Michel de Montaigne
    This Penguin Classics edition of The Complete Essays is translated from the French and edited with an introduction and notes by M.A. Screech.In 1572 Montaigne retired to his estates in order to devote himself to leisure, reading and reflection. There he wrote his constantly expanding 'assays', inspired by the ideas he found in books contained in his library and from his own experience. He discusses subjects as diverse as war-horses and cannibals, poetry and politics, sex and religion, love and friendship, ecstasy and experience. But, above all, Montaigne studied himself as a way of drawing out his own inner nature and that of men and women in general. The Essays are among the most idiosyncratic and personal works in all literature and provide an engaging insight into a wise Renaissance mind, continuing to give pleasure and enlightenment to modern readers.With its extensive introduction and notes, M.A. Screech's edition of Montaigne is widely regarded as the most distinguished of recent times.Michel de Montaigne (1533-1586) studied law and spent a number of years working as a counsellor before devoting his life to reading, writing and reflection.If you enjoyed The Complete Essays, you might like Francois Rabelais's Gargantua and Pantagruel, also available in Penguin Classics.'Screech's fine version ... must surely serve as the definitive English Montaigne'A.C. Grayling, Financial Times'A superb edition'Nicholas Wollaston, Observer

Language, Truth, and Logic


A.J. Ayer - 1936
    Topics: elimination of metaphysics, function of philosophy, nature of philosophical analysis, the a priori, truth & probability, critique of ethics & theology, self & the common world etc.IntroductionThe elimination of metaphysicsThe function of philosophy The nature of philosophical analysisThe a priori Truth & probabilityCritique of ethics & theologyThe self & the common worldSolutions of outstanding philosophical disputesIndex