Book picks similar to
Towards a Philosophy of Real Mathematics by David Corfield
philosophy
math
mathematics
philosophy-of-mathematics
Chance: The science and secrets of luck, randomness and probability
New Scientist - 2016
So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it explores these and many other tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.
The Monty Hall Problem: The Remarkable Story of Math's Most Contentious Brain Teaser
Jason Rosenhouse - 2009
Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
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)
Gilles Deleuze & Félix Guattari: Intersecting Lives
François Dosse - 2007
Félix Guattari was a political militant and the director of an unusual psychiatric clinic at La Borde. Their meeting was quite unlikely, yet the two were introduced in an arranged encounter of epic consequence. From that moment on, Deleuze and Guattari engaged in a surprising, productive partnership, collaborating on several groundbreaking works, including "Anti-Oedipus," "What Is Philosophy?" and "A Thousand Plateaus."Fran?ois Dosse, a prominent French intellectual known for his work on the Annales School, structuralism, and biographies of the pivotal intellectuals Paul Ricoeur, Pierre Chaunu, and Michel de Certeau, examines the prolific if improbable relationship between two men of distinct and differing sensibilities. Drawing on unpublished archives and hundreds of personal interviews, Dosse elucidates a collaboration that lasted more than two decades, underscoring the role that family and history--particularly the turbulent time of May 1968--play in their monumental work. He also takes the measure of Deleuze and Guattari's posthumous fortunes and the impact of their thought on intellectual, academic, and professional circles.
Philosophy of Science
Jeffrey L. Kasser - 2006
Kasser launches an ambitious and exciting inquiry into what makes science science, using the tools of philosophy to ask: * Why is science so successful? * Is there such a thing as the scientific method? * How do we distinguish science from pseudoscience? * Is science rational, cumulative, and progressive? Focusing his investigation on the vigorous debate over the nature of science that unfolded during the past 100 years, Professor Kasser covers important philosophers such as Karl Popper, W. V. Quine, Thomas Kuhn, Paul Feyerabend, Imre Lakatos, Carl Hempel, Nelson Goodman, and Bas van Fraassen.All of these thinkers responded in one way or another to logical positivism, the dominant movement influencing the philosophy of science during the first half of the 20 th century. Logical positivism attempted to ground science exclusively in what could be known through direct experience and logic.It sounds reasonable, but logical positivism proved to be riddled with serious problems, and its eventual demise is an object lesson in how truly difficult it is—perhaps impossible—to secure the logical foundations of a subject that seems so unassailably logical: science.
The Möbius Strip: Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology
Clifford A. Pickover - 2007
Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.
The Dreaming Universe: A Mind-Expanding Journey into the Realm Where Psyche and Physics Meet
Fred Alan Wolf - 1994
By linking research ranging from the ancient Greek "dream temples" and modern experiments in telepathy, REM, and lucid dreaming to his own research on human consciousness, he theorizes that dreaming is the basis for consciousness, and that it is through dreaming that we are able to manifest a sense of ourselves.
Liberty in the Age of Terror: A Defence of Civil Liberties and Enlightenment Values
A.C. Grayling - 2009
Starting a war 'to promote freedom and democracy' could in certain though rare circumstances be a justified act; but in the case of the Second Gulf War that began in 2003, which involved reacting to criminals hiding in one country (Al Qaeda in Afghanistan or Pakistan) by invading another country (Iraq), one of the main fronts has, dismayingly, been the home front, where the War on Terror takes the form of a War on Civil Liberties in the spurious name of security. To defend 'freedom and democracy', Western governments attack and diminish freedom and democracy in their own country. By this logic, someone will eventually have to invade the US and UK to restore freedom and democracy to them.'In this lucid and timely book, Grayling sets out what's at risk, engages with the arguments for and against examining the cases made by Isaiah Berlin and Ronald Dworkin on the one hand, and Roger Scruton and John Gray on the other, and finally proposes a different way to respond that makes defending the civil liberties on which western society is founded the cornerstone for defeating terrorism.
Cynics
Will Desmond - 2008
They believed that if one simplified one's life - giving up all unnecessary possessions, desires, and ideas - and lived in the moment as much as possible, one could regain one's natural goodness and happiness. It was a life exemplified most famously by the eccentric Diogenes, nicknamed "the Dog," and his followers, called dog-philosophers, kunikoi, or Cynics.Rebellious, self-willed, and ornery but also witty and imaginative, these dog-philosophers are some of the most colorful personalities from antiquity. This engaging introduction to Cynicism considers both the fragmentary ancient evidence on the Cynics and the historical interpretations that have shaped the philosophy over the course of eight centuries - from Diogenes himself to Nietzsche and beyond. Approaching Cynicism from a variety of thematic perspectives as well - their critique of convention, praise of natural simplicity, advocacy of self-sufficiency, defiance of Fortune, and freedom - William Desmond offers a fascinating survey of a school of thought that has had a tremendous influence throughout history and is of continuing interest today.
Calculus With Analytic Geometry
Ron Larson - 1979
This was the first calculus text to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester Calculus I with Precalculus text. Every edition of the series has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Eighth Edition is the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. The Eighth Edition continues to provide an evolving range of conceptual, technological, and creative tools that enable instructors to teach the way they want to teach and students to learn they way they learn best.
The explanations, theorems, and definitions have been thoroughly and critically reviewed. Additionally, the exercise sets have been carefully and extensively examined to ensure they cover all calculus topics appropriately.
Questions involving skills, writing, critical thinking, problem-solving, applications, and real-data applications are included throughout the text. Exercises are presented in a variety of question formats, including matching, free response, true/false, modeling, and fill-in the blank.
The Eduspace online resources have been integrated into a comprehensive learning system that combines numerous dynamic calculus resources with online homework and testing materials. Eduspace with eSolutions combines all the features of Eduspace with an electronic version of the textbook exercises and the complete solutions to the odd-numbered text exercises, providing students with a convenient and comprehensive way to do homework and view the course materials.
The Integrated Learning System addresses the changing needs of today's instructors and students. Recognizing that the calculus course is presented in a variety of teaching and learning environments, the program resources are available in print, CD-ROM, and online formats.
SMARTHINKING online tutoring brings students real-time, online tutorial support when they need it most.
Mr. Mike: The Life and Work of Michael O'Donoghue
Dennis Perrin - 1998
He was a towering figure in American popular culture, the prime artistic force behind an entire generation of humorists and satirists. John Belushi, Chevy Chase, Bill Murray, Gilda Radner, Dan Aykroyd, P.J. O'Rourke, Buck Henry, Doug Kenney, and more were all affected by the acid wit of Mr. Mike. This book examines O'Donoghue's life and work, from his early days devising confrontational theatre and the underground comic Phoebe Zeit-Geist to an unprecedented string of pieces in National Lampoon, from O'Donoghue's breathtaking stint as the key founding writer of Saturday Night Live to his tumultuous adventures in Hollywood. Included is never-before-seen O'Donoghue material, some of it censored by editors or TV executives, made public here for the first time.
Fearful Symmetry: The Search for Beauty in Modern Physics
A. Zee - 1986
A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, the book describes the majestic sweep and accomplishments of twentieth-century physics. In the end, we stand in awe before the grand vision of modern physics--one of the greatest chapters in the intellectual history of humankind.
History of US Naval Operations in WWII, 15 Vols
Samuel Eliot Morison - 1968
When the U.S. Marines landed on Iwo Jima, they expected to secure it within a few days. No one had anticipated Japan's determination to defend the island to the last man. Morison describes the Japanese defense system of camouflaged rifle pits and fortified gunning positions that held the Allies at bay and the heavy and continuous cover of naval gunfire that prevented even greater losses. As it was, the securing of Iwo Jima cost the United States more casualties than had been incurred in taking any other island in the Pacific. On Okinawa, the conflict stretched over six long, bloody months. As land forces struggled for every inch they took on the islands, the U.S. Navy faced the desperate fury of the kamimaze corps and its harvest of flaming terror: explosions, burning and flooded ships, searing injuries and death. Fierce weather, logistical complexities, Japanese submarines, and the unexpected death of President Roosevelt also took their toll. Morison concludes his epic account with the final skirmishes of the war, the fateful decision to drop the atomic bomb, and the delicate negotiations leading to Japanese surrender.
Higher Engineering Mathematics
B.V. Ramana - 2006
Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject. Key Features: Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table of Content: PART I PRELIMI NARIES Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers PART II DIFFERENTIAL AND INTEGRAL CALCULUS
Short-Cut Math
Gerard W. Kelly - 1969
Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.