Mathematics and the Imagination


Edward Kasner - 1940
    But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics.A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries — plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs.Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It “lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting." — Saturday Review of Literature.

Ethics Without Ontology


Hilary Putnam - 2004
    Looking at the efforts of philosophers from the Enlightenment through the twentieth century, Putnam traces the ways in which ethical problems arise in a historical context. Hilary Putnam's central concern is ontology--indeed, the very idea of ontology as the division of philosophy concerned with what (ultimately) exists. Reviewing what he deems the disastrous consequences of ontology's influence on analytic philosophy--in particular, the contortions it imposes upon debates about the objective of ethical judgments--Putnam proposes abandoning the very idea of ontology. He argues persuasively that the attempt to provide an ontological explanation of the objectivity of either mathematics or ethics is, in fact, an attempt to provide justifications that are extraneous to mathematics and ethics--and is thus deeply misguided.

The 125 Best Brain Teasers of All Time: A Mind-Blowing Challenge of Math, Logic, and Wordplay


Marcel Danesi - 2018
    Collected here to keep your wits sharp, The Best Brain Teasers of All Time features the cleverest brain teasers from around the world and throughout history.The Best Brain Teasers of All Time gives you hours of fun-filled entertainment with brain teasers that develop your problem-solving skills in math, logic, and wordplay. Organized as an integrated challenge, these brain teasers build in momentum as they increase in difficulty from classic nursery rhymes to the riddle of the sphinx.The Best Brain Teasers of All Time puts your mind to the test with: 125 Brain Teasers that require no special skills to solve. Plus, each question comes with an optional clue in case you get stumped and a handy answer key in the back to test yourself or play with friends Brain Teasers for Every Level that cater to beginners and advanced masterminds alike, with brain teasers organized by level of difficulty to improve your skills as you move forward Hints of History that provide fun facts and background information for every brain teaser Get ready to sharpen your wit with every “aha” moment. The Best Brain Teasers of All Time is a go-to source for timeless fun and mind-blowing challenges.

Existentialism (Beginner's Guides)


Thomas E. Wartenberg - 2008
    In this lively and topical introduction, Wartenberg reveals a vibrant mode of philosophical inquiry that addresses concerns at the heart of the existence of every human being. Wartenberg uses classic films, novels, and plays to present the ideas of now-legendary Existentialist thinkers from Nietzsche and Camus to Sartre and Heidegger and to explore central concepts, including Freedom, Anxiety, and the Absurd. Special attention is paid to the views of Simone de Beauvoir and Franz Fanon, who use the theories of Existentialism to address gender and colonial oppression.

The Hero: The Enduring Myth That Makes Us Human


Lee Child - 2019
    He demonstrates how hero stories continue to shape our world – arguing that we need them now more than ever.From the Stone Age to the Greek Tragedies, from Shakespeare to Robin Hood, we have always had our heroes. The hero is at the centre of formative myths in every culture and persists to this day in world-conquering books, films and TV shows. But why do these characters continue to inspire us, and why are they so central to storytelling?Scalpel-sharp on the roots of storytelling and enlightening on the history and science of myth, The Hero is essential reading for anyone trying to write or understand fiction. Child teaches us how these stories still shape our minds and behaviour in an increasingly confusing modern world, and with his trademark concision and wit, demonstrates that however civilised we get, we’ll always need heroes.

Animalish


Susan Orlean - 2011
    The life and times of a girl who has always loved animals, or how I went from dreaming about Rin Tin Tin to having dogs, cats, chickens, fish, cattle, turkeys, and guinea fowl, with guest appearances by horses, lions, and canaries.

A HYPNOTIST'S JOURNEY TO ATLANTIS: EYE WITNESS ACCOUNTS OF OUR ANCIENT HISTORY


SARAH Breskman Cosme - 2020
    

Introduction to Algebra


Richard Rusczyk - 2007
    Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.

The Heathen's Guide to World Religions: A Secular History of the 'One True Faiths'


William Hopper - 2000
    "Hopper represents the most lethal of organized religions many opponents: a curious, well-educated individual with a sharp wit." Queen's University Journal Review "Wickedly fun and informative." Toronto Star "The Heathen's Guide To World Religions has taken up permanent residence on my bookshelves... a masterfully written, wonderfully funny, and deliciously snarky trip down religious lane." Al Stefanelli, UNITED ATHEIST FRONT. "Like Monty Python in religious garb... easily one of the best places to invest your book buying dollar." Georgia Straight

The Mathematics of Poker


Bill Chen - 2006
    By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being replaced by a new generation of players who have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. This book provides an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory, in a manner that makes seemingly difficult topics accessible to players without a strong mathematical background.

The Story of Mathematics


Anne Rooney - 2008
    Topics include the development of counting and numbers systems, the emergence of zero, cultures that don’t have numbers, algebra, solid geometry, symmetry and beauty, perspective, riddles and problems, calculus, mathematical logic, friction force and displacement, subatomic particles, and the expansion of the universe. Great mathematical thinkers covered include Napier, Liu Hui, Aryabhata, Galileo, Newton, Russell, Einstein, Riemann, Euclid, Carl Friedrich Gauss, Charles Babbage, Montmort, Wittgenstein, and many more. The book is beautifully illustrated throughout in full color.

Thinking In Numbers: On Life, Love, Meaning, and Math


Daniel Tammet - 2012
    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

Are Numbers Real?: The Uncanny Relationship of Mathematics and the Physical World


Brian Clegg - 2016
    In Are Numbers Real?, Brian Clegg explores the way that math has become more and more detached from reality, and yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity, to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader’s eyes to the hidden reality of the strange yet familiar entities that are numbers.

Wittgenstein: On Human Nature (The Great Philosophers Series)


P.M.S. Hacker - 1985
    Hacker leads us into a world of philosophical investigation in which to smell a rat is ever so much easier than to trap it. Wittgenstein defined humans as language-using creatures. The role of philosophy is to ask questions which reveal the limits and nature of language. Taking the expression, description and observation of pain as examples, Hacker explores the ingenuity with which Wittgenstein identified the rules and set the limits of language. (less)

About This Life


Barry Lopez - 1998
    Find out what you truly believe. Get away from the familiar." This collection of essays stems directly from that philosophy. Here is far-flung travel (the beauty of remote Hokkaido Island, the over-explored Galápagos, enigmatic Bonaire); a naturalist's concerns (for endangered communities as well as their land) and pure adventure. Here, too, are seven exquisite memory pieces; beautiful, meditative recollections that will stand as classic examples of the personal essay.