Game, Set and Math

Enigmas and Conundrums

Author: Ian Stewart

Publisher: Courier Corporation

ISBN: 0486150968

Category: Mathematics

Page: 208

View: 8903


Twelve essays take a playful approach to mathematics, investigating the topology of a blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy.

Problem Solving Through Recreational Mathematics

Author: Bonnie Averbach,Orin Chein

Publisher: Courier Corporation

ISBN: 0486131742

Category: Mathematics

Page: 480

View: 4033


Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.

Puzzles in Math and Logic

100 New Recreations

Author: Aaron J. Friedland

Publisher: Courier Corporation

ISBN: 9780486222561

Category: Games

Page: 66

View: 4129


Selected brain teasers requiring geometric, algebraic, and logical solutions

The Story of Numbers

Author: John McLeish

Publisher: Ballantine Books


Category: Mathematics

Page: 266

View: 9288


The history of mathematics is enumerated in human terms, including the development of number systems in cultures from ancient to modern times, how systems and cultures shaped each other, and everyday people working with everyday problems. Reprint.

International Symposium on Computer and Information Sciences

Author: Erol Gelenbe

Publisher: CRC Press

ISBN: 9780849314902

Category: Computers

Page: 440

View: 9929


Papers from an October 2002 symposium describe research in areas including algorithms, artificial intelligence, computer graphics, computer networks, databases, evolutionary computation, graph theory, image processing, multimedia technology, software engineering, and software performance engineering. Some specific topics are packet selection in a deflection routing algorithm, honeycomb subdivision, a new image-based lighting method, visualizing transition diagrams of action language programs, and solution stability in evolutionary computation. Other subjects include control of lightpaths in heterogeneous optical networks, exploiting semantic constraints in a database browser, and bandwidth allocation in bluetooth scatternets. There is no subject index. Annotation copyrighted by Book News, Inc., Portland, OR

Mensa Challenge Your Brain Math & Logic Puzzles

Author: Dave Tuller,Michael Rios

Publisher: Sterling Publishing Company, Inc.

ISBN: 9781402714498

Category: Games

Page: 96

View: 1453


Looking for a brain workout? Well look no further with a collection of Mensa-level conundrums. Puzzles range from classics like Battleships to "Hex Loops" - locate a path that travels through the adjacent hexagons: the trick is it has to end where it started, and the lines can't touch or cross.

Fearful Symmetry

Is God a Geometer?

Author: Ian Stewart,Martin Golubitsky

Publisher: Courier Corporation

ISBN: 0486477584

Category: Science

Page: 287

View: 5271


"From the shapes of clouds to dewdrops on a spider's web, this accessible book employs the mathematical concepts of symmetry to portray fascinating facets of the physical and biological world. More than 120 figures illustrate the interaction of symmetry with dynamics and the mathematical unity of nature's patterns"--

The Puzzle Instinct

The Meaning of Puzzles in Human Life

Author: Marcel Danesi

Publisher: Indiana University Press

ISBN: 9780253109194

Category: Mathematics

Page: 288

View: 6395


One of the most famous anagrams of all time was constructed in the Middle Ages. The unknown author contrived it as a Latin dialogue between Pilate and Jesus. Jesus' answer to Pilate's question "What is truth" is phrased as an ingenious anagram of the letters of that very question: Pilate: Quid est veritas? ("What is truth?") Jesus: Est virqui adest. ("It is the man before you.") The origin of anagrams is shrouded in mystery. One thing is clear, however -- in the ancient world, they were thought to contain hidden messages from the gods. Legend has it that even Alexander the Great (356--323 b.c.) believed in their prophetic power. -- from Chapter Two The most obvious explanation for the popularity of puzzles is that they provide a form of constructive entertainment. But in The Puzzle Instinct Marcel Danesi contends that the fascination with puzzles throughout the ages suggests something much more profound. Puzzles serve a deeply embedded need in people to make sense of things. Emerging at the same time in human history as myth, magic, and the occult arts, the puzzle instinct, he claims, led to discoveries in mathematics and science, as well as revolutions in philosophical thought. Puzzles fill an existential void by providing "small-scale experiences of the large-scale questions that Life poses. The puzzle instinct is, arguably, as intrinsic to human nature as is humor, language, art, music, and all the other creative faculties that distinguish humanity from all other species."

Another Fine Math You've Got Me Into. . .

Author: Ian Stewart

Publisher: Courier Corporation

ISBN: 048615078X

Category: Science

Page: 288

View: 2401


Sixteen columns from the French edition of Scientific American feature oddball characters and wacky wordplay in a mathematical wonderland of puzzles and games that also imparts significant mathematical ideas. 1992 edition.

Concepts of Modern Mathematics

Author: Ian Stewart

Publisher: Courier Corporation

ISBN: 0486134954

Category: Mathematics

Page: 368

View: 554


In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

When Einstein Walked with Gödel

Excursions to the Edge of Thought

Author: Jim Holt

Publisher: Farrar, Straus and Giroux

ISBN: 0374717842

Category: Science

Page: 384

View: 763


From Jim Holt, the New York Times bestselling author of Why Does the World Exist?, comes an entertaining and accessible guide to the most profound scientific and mathematical ideas of recent centuries in When Einstein Walked with Gödel: Excursions to the Edge of Thought. Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction—and whether the universe truly has a future.

On Food and Cooking

The Science and Lore of the Kitchen

Author: Harold McGee

Publisher: Simon and Schuster

ISBN: 9781416556374

Category: Cooking

Page: 896

View: 8034


Harold McGee's On Food and Cooking is a kitchen classic. Hailed by Time magazine as "a minor masterpiece" when it first appeared in 1984, On Food and Cooking is the bible to which food lovers and professional chefs worldwide turn for an understanding of where our foods come from, what exactly they're made of, and how cooking transforms them into something new and delicious. Now, for its twentieth anniversary, Harold McGee has prepared a new, fully revised and updated edition of On Food and Cooking. He has rewritten the text almost completely, expanded it by two-thirds, and commissioned more than 100 new illustrations. As compulsively readable and engaging as ever, the new On Food and Cooking provides countless eye-opening insights into food, its preparation, and its enjoyment. On Food and Cooking pioneered the translation of technical food science into cook-friendly kitchen science and helped give birth to the inventive culinary movement known as "molecular gastronomy." Though other books have now been written about kitchen science, On Food and Cooking remains unmatched in the accuracy, clarity, and thoroughness of its explanations, and the intriguing way in which it blends science with the historical evolution of foods and cooking techniques. Among the major themes addressed throughout this new edition are: Traditional and modern methods of food production and their influences on food quality The great diversity of methods by which people in different places and times have prepared the same ingredients Tips for selecting the best ingredients and preparing them successfully The particular substances that give foods their flavors and that give us pleasure Our evolving knowledge of the health benefits and risks of foods On Food and Cooking is an invaluable and monumental compendium of basic information about ingredients, cooking methods, and the pleasures of eating. It will delight and fascinate anyone who has ever cooked, savored, or wondered about food.

How Modern Science Came Into the World

Four Civilizations, One 17th-century Breakthrough

Author: H. F. Cohen

Publisher: Amsterdam University Press

ISBN: 9089642390

Category: History

Page: 784

View: 7622


Once upon a time 'The Scientific Revolution of the 17th century' was an innovative concept that inspired a stimulating narrative of how modern science came into the world. Half a century later, what we now know as 'the master narrative' serves rather as a strait-jacket - so often events and contexts just fail to fit in. No attempt has been made so far to replace the master narrative. H. Floris Cohen now comes up with precisely such a replacement. Key to his path-breaking analysis-cum-narrative is a vision of the Scientific Revolution as made up of six distinct yet narrowly interconnected, revolutionary transformations, each of some twenty-five to thirty years' duration. This vision enables him to explain how modern science could come about in Europe rather than in Greece, China, or the Islamic world. It also enables him to explain how half-way into the 17th century a vast crisis of legitimacy could arise and, in the end, be overcome.

The Lucifer Principle

A Scientific Expedition into the Forces of History

Author: Howard Bloom

Publisher: Open Road + Grove/Atlantic

ISBN: 0802192181

Category: Philosophy

Page: 466

View: 8191


The Lucifer Priciple is a revolutionary work that explores the intricate relationships among genetics, human behavior, and culture to put forth the thesis that “evil” is a by-product of nature’s strategies for creation and that it is woven into our most basic biological fabric. In a sweeping narrative that moves lucidly among sophisticated scientific disciplines and covers the entire span of the earth’s, as well as mankind’s, history, Howard Bloom challenges some of our most popular scientific assumptions. Drawing on evidence from studies of the most primitive organisms to those on ants, apes, and humankind, the author makes a persuasive case that it is the group, or “superorganism,” rather than the lone individual that really matters in the evolutionary struggle. But, Bloom asserts, the prominence of society and culture does not necessarily mitigate against our most violent, aggressive instincts. In fact, under the right circumstances the mentality of the group will only amplify our most primitive and deadly urges. In Bloom’s most daring contention he draws an analogy between the biological material whose primordial multiplication began life on earth and the ideas, or “memes,” that define, give cohesion to, and justify human superorganisms. Some of the most familiar memes are utopian in nature—Christianity or Marxism; nonetheless, these are fueled by the biological impulse to climb to the top of the heirarchy. With the meme’s insatiable hunger to enlarge itself, we have a precise prescription for war. Biology is not destiny; but human culture is not always the buffer to our most primitive instincts we would like to think it is. In these complex threads of thought lies the Lucifer Principle, and only through understanding its mandates will we able to avoid the nuclear crusades that await us in the twenty-first century.

Game Theory, Alive

Author: Anna R. Karlin,Yuval Peres

Publisher: American Mathematical Soc.

ISBN: 1470419823

Category: Game theory

Page: 372

View: 2213


We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.

The Invention of Physical Science

Intersections of Mathematics, Theology and Natural Philosophy Since the Seventeenth Century Essays in Honor of Erwin N. Hiebert

Author: M.J. Nye,J. Richards,Roger H. Stuewer

Publisher: Springer Science & Business Media

ISBN: 9401124884

Category: Science

Page: 278

View: 8584


Modern physical science is constituted by specialized scientific fields rooted in experimental laboratory work and in rational and mathematical representations. Contemporary scientific explanation is rigorously differentiated from religious interpretation, although, to be sure, scientists sometimes do the philosophical work of interpreting the metaphysics of space, time, and matter. However, it is rare that either theologians or philosophers convincingly claim that they are doing the scientific work of physical scientists and mathematicians. The rigidity of these divisions and differentiations is relatively new. Modern physical science was invented slowly and gradually through interactions of the aims and contents of mathematics, theology, and natural philosophy since the seventeenth century. In essays ranging in focus from seventeenth-century interpretations of heavenly comets to twentieth-century explanations of tracks in bubble chambers, ten historians of science demonstrate metaphysical and theological threads continuing to underpin the epistemology and practice of the physical sciences and mathematics, even while they became disciplinary specialties during the last three centuries. The volume is prefaced by tributes to Erwin N. Hiebert, whose teaching and scholarship have addressed and inspired attention to these issues.

Mathematics Under the Microscope

Notes on Cognitive Aspects of Mathematical Practice

Author: Alexandre Borovik

Publisher: American Mathematical Soc.

ISBN: 0821847619

Category: Mathematics

Page: 317

View: 7658


The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than others? To what extent does the ``small scale'' structure of mathematical concepts and algorithms reflect the workings of the human brain? What are the ``elementary particles'' of mathematics that build up the mathematical universe? The book is saturated with amusing examples from a wide range of disciplines--from turbulence to error-correcting codes to logic--as well as with just puzzles and brainteasers. Despite the very serious subject matter, the author's approach is lighthearted and entertaining. This is an unusual and unusually fascinating book. Readers who never thought about mathematics after their school years will be amazed to discover how many habits of mind, ideas, and even material objects that are inherently mathematical serve as building blocks of our civilization and everyday life. A professional mathematician, reluctantly breaking the daily routine, or pondering on some resisting problem, will open this book and enjoy a sudden return to his or her young days when mathematics was fresh, exciting, and holding all promises. And do not take the word ``microscope'' in the title too literally: in fact, the author looks around, in time and space, focusing in turn on a tremendous variety of motives, from mathematical ``memes'' (genes of culture) to an unusual life of a Hollywood star. --Yuri I. Manin, Max-Planck Institute of Mathematics, Bonn, and Northwestern University

Billions & Billions

Thoughts on Life and Death at the Brink of the Millennium

Author: Carl Sagan

Publisher: Ballantine Books

ISBN: 0307801020

Category: Science

Page: 320

View: 7595


In the final book of his astonishing career, Carl Sagan brilliantly examines the burning questions of our lives, our world, and the universe around us. These luminous, entertaining essays travel both the vastness of the cosmos and the intimacy of the human mind, posing such fascinating questions as how did the universe originate and how will it end, and how can we meld science and compassion to meet the challenges of the coming century? Here, too, is a rare, private glimpse of Sagan's thoughts about love, death, and God as he struggled with fatal disease. Ever forward-looking and vibrant with the sparkle of his unquenchable curiosity, Billions & Billions is a testament to one of the great scientific minds of our day. From the Trade Paperback edition.